{"id":300691,"date":"2023-12-29T17:44:47","date_gmt":"2023-12-29T10:44:47","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=300691"},"modified":"2025-12-20T17:34:05","modified_gmt":"2025-12-20T10:34:05","slug":"dien-tich-hinh-hop-chu-nhat","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-hop-chu-nhat\/","title":{"rendered":"Di\u1ec7n T\u00edch To\u00e0n Ph\u1ea7n H\u00ecnh H\u1ed9p Ch\u1eef Nh\u1eadt: C\u00f4ng Th\u1ee9c V\u00e0 V\u00ed D\u1ee5 Chi Ti\u1ebft"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 t\u1ed5ng di\u1ec7n t\u00edch 6 m\u1eb7t, th\u01b0\u1eddng g\u00e2y kh\u00f3 kh\u0103n cho h\u1ecdc sinh l\u1edbp 5. C\u00f4ng th\u1ee9c \u0111\u01a1n gi\u1ea3n: S_to\u00e0n ph\u1ea7n = 2ab + 2(a + b)h (v\u1edbi a: chi\u1ec1u d\u00e0i, b: chi\u1ec1u r\u1ed9ng, h: chi\u1ec1u cao). B\u00e0i vi\u1ebft h\u01b0\u1edbng d\u1eabn chi ti\u1ebft \u0111\u1ecbnh ngh\u0129a, t\u00ednh ch\u1ea5t, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh v\u00e0 to\u00e0n ph\u1ea7n, k\u00e8m v\u00ed d\u1ee5, b\u00e0i t\u1eadp th\u1ef1c h\u00e0nh \u0111\u1ec3 b\u1ea1n d\u1ec5 d\u00e0ng \u00e1p d\u1ee5ng.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">\u0110\u00f4i n\u00e9t v\u1ec1 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 \u0111\u00e3 tr\u00ecnh b\u00e0y, \u0111\u1ec3 \u00e1p d\u1ee5ng th\u00e0nh c\u00f4ng c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1ea5t th\u00ec tr\u01b0\u1edbc h\u1ebft b\u1ea1n ph\u1ea3i n\u1eafm b\u1eaft \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh h\u1ecdc kh\u00f4ng gian n\u00e0y. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 g\u1ee3i \u00fd v\u1ec1 v\u1ea5n \u0111\u1ec1 n\u00e0y m\u00e0 b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o.<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">\u0110\u1ecbnh ngh\u0129a<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 m\u1ed9t d\u1ea1ng h\u00ecnh kh\u00f4ng gian c\u01a1 b\u1ea3n v\u00e0 kh\u00e1 quen thu\u1ed9c trong to\u00e1n h\u1ecdc. C\u1ee5 th\u1ec3, \u0111\u00e2y l\u00e0 m\u1ed9t lo\u1ea1i h\u00ecnh h\u1ed9p c\u00f3 s\u00e1u m\u1eb7t, trong \u0111\u00f3 c\u00e1c m\u1eb7t \u0111\u1ed1i di\u1ec7n c\u00f3 \u0111\u1eb7c \u0111i\u1ec3m song song v\u00e0 b\u1eb1ng nhau. \u0110i\u1ec1u n\u00e0y t\u1ea1o n\u00ean c\u00e1c g\u00f3c vu\u00f4ng t\u1ea1i \u0111\u1eb7c bi\u1ec7t t\u1ea1i c\u00e1c \u0111\u01b0\u1eddng th\u1eb3ng giao nhau. Ch\u1eb3ng h\u1ea1n, h\u1ed9p \u0111\u1ef1ng ph\u1ea5n c\u00f3 th\u1ec3 l\u00e0 m\u1ed9t h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt m\u00e0 b\u1ea1n c\u00f3 th\u1ec3 g\u1eb7p th\u01b0\u1eddng xuy\u00ean trong m\u00f4i tr\u01b0\u1eddng h\u1ecdc \u0111\u01b0\u1eddng.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-300693 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-1.jpg\" alt=\"dien-tich-hinh-hop-chu-nhat-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">Ngo\u00e0i ra, b\u1ea1n c\u0169ng c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng nh\u00ecn th\u1ea5y h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n trong nhi\u1ec1u t\u00ecnh hu\u1ed1ng th\u1ef1c t\u1ebf nh\u01b0 \u0111\u00f3ng g\u00f3i s\u1ea3n ph\u1ea9m, x\u00e2y d\u1ef1ng c\u00f4ng tr\u00ecnh, thi\u1ebft k\u1ebf n\u1ed9i th\u1ea5t v\u00e0 nhi\u1ec1u \u1ee9ng d\u1ee5ng kh\u00e1c. Trong \u0111\u00f3, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt kh\u00f4ng ch\u1ec9 gi\u00fap ng\u01b0\u1eddi d\u00f9ng hi\u1ec3u r\u00f5 v\u1ec1 h\u00ecnh d\u1ea1ng h\u00ecnh h\u1ecdc m\u00e0 c\u00f2n \u00e1p d\u1ee5ng v\u00e0o nhi\u1ec1u v\u1ea5n \u0111\u1ec1 th\u1ef1c t\u1ebf, t\u1eeb quy ho\u1ea1ch \u0111\u00f4 th\u1ecb \u0111\u1ebfn s\u1ea3n xu\u1ea5t v\u00e0 k\u1ef9 thu\u1eadt. \u0110i\u1ec1u n\u00e0y th\u1ec3 hi\u1ec7n s\u1ef1 quan tr\u1ecdng v\u00e0 \u1ea3nh h\u01b0\u1edfng s\u00e2u r\u1ed9ng c\u1ee7a h\u00ecnh h\u1ecdc kh\u00f4ng gian n\u00e0y trong cu\u1ed9c s\u1ed1ng c\u1ee7a con ng\u01b0\u1eddi.<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">T\u00ednh ch\u1ea5t<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 m\u1ed9t d\u1ea1ng h\u00ecnh h\u1ecdc kh\u00f4ng gian s\u1edf h\u1eefu nhi\u1ec1u \u0111\u1eb7c t\u00ednh \u0111\u1ed9c \u0111\u00e1o m\u00e0 b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o nh\u01b0:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Trong h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt, hai m\u1eb7t \u0111\u1ed1i x\u1ee9ng s\u1ebd lu\u00f4n lu\u00f4n c\u00f3 S b\u1eb1ng nhau. B\u1edfi l\u1ebd, ch\u00fang \u0111\u01b0\u1ee3c t\u1ea1o \u0111\u1ed1i x\u1ee9ng v\u00e0 s\u1edf h\u1eefu c\u00e1c c\u1ea1nh c\u00f3 \u0111\u1ed9 d\u00e0i b\u1eb1ng nhau.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Kh\u00f4ng ch\u1ec9 di\u1ec7n t\u00edch, chu vi c\u1ee7a c\u00e1c m\u1eb7t \u0111\u1ed1i di\u1ec7n trong h\u00ecnh h\u1ecdc \u0111\u1eb7c bi\u1ec7t n\u00e0y c\u0169ng b\u1eb1ng nhau. T\u00ednh ch\u1ea5t n\u00e0y gi\u00fap cho ng\u01b0\u1eddi d\u00f9ng d\u1ec5 d\u00e0ng t\u00ednh \u0111\u01b0\u1ee3c \u0111\u1ed9 d\u00e0i v\u00e0 di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt.<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-2.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-2-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-2-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-300694 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-2.jpg\" alt=\"dien-tich-hinh-hop-chu-nhat-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 t\u1ed5ng c\u1ed9ng 12 c\u1ea1nh, 6 m\u1eb7t v\u00e0 8 \u0111\u1ec9nh. T\u00ednh ch\u1ea5t n\u00e0y th\u1ec3 hi\u1ec7n c\u1ea5u tr\u00fac \u0111\u1ed9c \u0111\u00e1o v\u00e0 ph\u1ee9c t\u1ea1p c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt. \u0110\u1ed3ng th\u1eddi l\u00e0m cho lo\u1ea1i h\u00ecnh h\u1ecdc n\u00e0y tr\u1edf th\u00e0nh m\u1ed9t \u0111\u1ed1i t\u01b0\u1ee3ng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng ph\u1ed5 bi\u1ebfn trong nhi\u1ec1u l\u0129nh v\u1ef1c.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0110\u01b0\u1eddng ch\u00e9o trong h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 c\u00e1c \u0111o\u1ea1n th\u1eb3ng n\u1ed1i li\u1ec1n hai \u0111\u1ec9nh kh\u00f4ng k\u1ec1 nhau. Ch\u00fang giao nhau c\u00f9ng m\u1ed9t \u0111i\u1ec3m v\u00e0 t\u1ea1o n\u00ean m\u1ed9t m\u1ed1i li\u00ean k\u1ebft \u0111\u1eb7c bi\u1ec7t gi\u1eefa c\u00e1c m\u1eb7t c\u1ee7a h\u00ecnh h\u1ed9p.<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">C\u00e1ch t\u00ednh chi ti\u1ebft di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">C\u00e1c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt kh\u00f4ng \u0111\u01a1n gi\u1ea3n nh\u01b0 ch\u00fang ta ngh\u0129a. B\u1edfi l\u1ebd, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ecdc n\u00e0y kh\u00e1 ph\u1ee9c t\u1ea1p v\u00e0 g\u1ed3m nhi\u1ec1u y\u1ebfu t\u1ed1 c\u1ea5u th\u00e0nh nh\u01b0 di\u1ec7n t\u00edch xung quanh v\u00e0 di\u1ec7n t\u00edch \u0111\u00e1y. C\u1ee5 th\u1ec3, b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o h\u01b0\u1edbng d\u1eabn d\u01b0\u1edbi \u0111\u00e2y \u0111\u1ec3 n\u1eafm b\u1eaft \u0111\u01b0\u1ee3c c\u00e1ch t\u00ednh c\u1ee7a ch\u00fang t\u00f4i.<\/span><\/p>\n<h3><b>Di\u1ec7n T\u00edch Xung Quanh H\u00ecnh H\u1ed9p Ch\u1eef Nh\u1eadt<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch xung quanh l\u00e0 t\u1ed5ng di\u1ec7n t\u00edch 4 m\u1eb7t b\u00ean (kh\u00f4ng t\u00ednh 2 \u0111\u00e1y):<\/span><\/p>\n<p><b>S_xq = 2(a + b) \u00d7 h<\/b><\/p>\n<h3><b>Di\u1ec7n T\u00edch To\u00e0n Ph\u1ea7n H\u00ecnh H\u1ed9p Ch\u1eef Nh\u1eadt<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n l\u00e0 t\u1ed5ng di\u1ec7n t\u00edch 6 m\u1eb7t:<\/span><\/p>\n<p><b>S<\/b><b><i>tp = S<\/i><\/b><b>xq + 2 \u00d7 S<\/b><b><i>\u0111\u00e1y = 2ab + 2(a + b)h<\/i><\/b><\/p>\n<p><i><span style=\"font-weight: 400;\">(L\u01b0u \u00fd: Chu vi \u0111\u00e1y P = 2(a + b), S\u0111\u00e1y = a \u00d7 b)<\/span><\/i><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-300695 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-3.jpg\" alt=\"dien-tich-hinh-hop-chu-nhat-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, Sxung quanh c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt s\u1ebd \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c nh\u01b0 sau:\u00a0<\/span><\/p>\n<p style=\"text-align: center;\"><b>S<\/b><b>xung quanh<\/b><b> = 2 (a + b) x h<\/b><\/p>\n<h3><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 t\u1ed5ng di\u1ec7n t\u00edch c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c m\u1eb7t, bao g\u1ed3m c\u00e1c m\u1eb7t b\u00ean v\u00e0 m\u1eb7t \u0111\u00e1y. Hi\u1ec3u \u0111\u01a1n gi\u1ea3n, \u0111\u00e2y l\u00e0 di\u1ec7n t\u00edch xung quanh v\u00e0 di\u1ec7n t\u00edch \u0111\u00e1y c\u1ee7a h\u00ecnh h\u1ecdc kh\u00f4ng gian n\u00e0y. Theo \u0111\u00f3, \u0111\u00f3 n\u1ebfu ch\u00fang ta v\u1eabn gi\u1ea3 s\u1eed chi\u1ec1u d\u00e0i c\u1ee7a h\u00ecnh h\u1ed9p n\u00e0y l\u00e0 a, chi\u1ec1u r\u1ed9ng l\u00e0 b v\u00e0 chi\u1ec1u cao l\u00e0 h th\u00ec di\u1ec7n t\u00edch \u0111\u00e1y s\u1ebd b\u1eb1ng 2ab.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-300696 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-4.jpg\" alt=\"dien-tich-hinh-hop-chu-nhat-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">T\u1eeb \u0111\u00f3, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1ea5t s\u1ebd \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n chi ti\u1ebft nh\u01b0 sau:<\/span><\/p>\n<p style=\"text-align: center;\"><b>S<\/b><b>to\u00e0n ph\u1ea7n<\/b><b> = <\/b><b>S<\/b><b>\u0111\u00e1y<\/b><b>+ <\/b><b>S<\/b><b>xung quanh<\/b> <b>= [2ab + 2 (a + b) x h]<\/b><\/p>\n<h2><span style=\"font-weight: 400;\">V\u00ed d\u1ee5 minh h\u1ecda v\u1ec1 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 n\u1eafm b\u1eaft v\u00e0 tri\u1ec3n khai \u0111\u01b0\u1ee3c c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh S c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt b\u00ean tr\u00ean, b\u1ea1n h\u00e3y c\u00f9ng ch\u00fang t\u00f4i th\u1eed m\u1ed9t s\u1ed1 d\u1ea1ng b\u00e0i to\u00e1n sau \u0111\u00e2y nh\u00e9.<\/span><\/p>\n<h3><b>V\u00ed D\u1ee5 1 (C\u01a1 B\u1ea3n)<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt: a=20cm, b=7cm, h=20cm.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S<\/span><i><span style=\"font-weight: 400;\">xq = 2(20+7)\u00d720 = 540 cm\u00b2 S<\/span><\/i><span style=\"font-weight: 400;\">tp = 2\u00d720\u00d77 + 540 = 820 cm\u00b2<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-5.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-5-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-5-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-300697 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-5.jpg\" alt=\"dien-tich-hinh-hop-chu-nhat-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><b>V\u00ed D\u1ee5 2 (N\u00e2ng Cao &#8211; T\u00ecm Chi\u1ec1u Cao)<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Cho a=20cm, b=7cm, S<\/span><i><span style=\"font-weight: 400;\">xq=540 cm\u00b2. T\u00ednh h v\u00e0 S<\/span><\/i><span style=\"font-weight: 400;\">tp.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">h = 540 \/ [2(20+7)] = 20 cm<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S_tp = 2\u00d720\u00d77 + 540 = 820 cm\u00b2<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-6.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-6-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-6-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-300698 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-6.jpg\" alt=\"dien-tich-hinh-hop-chu-nhat-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><b>L\u1eddi gi\u1ea3i<\/b><span style=\"font-weight: 400;\">:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">T\u1eeb c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh, ta c\u00f3:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S<\/span><span style=\"font-weight: 400;\">xung quanh<\/span><span style=\"font-weight: 400;\"> = 2 (a + b) x h =&gt; h = <\/span><span style=\"font-weight: 400;\">S<\/span><span style=\"font-weight: 400;\">xung quanh<\/span><span style=\"font-weight: 400;\"> : <\/span><span style=\"font-weight: 400;\">[2 (a + b)] = 540 : [2 (20 + 7)] = 20 cm<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, chi\u1ec1u cao c\u1ea7n t\u00ecm c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt n\u00e0y \u0111\u00f3 l\u00e0 20 cm. Do \u0111\u00f3, Stp c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt tr\u00ean s\u1ebd \u0111\u01b0\u1ee3c v\u1eadn d\u1ee5ng d\u1ec5 d\u00e0ng theo c\u00f4ng th\u1ee9c sau:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S<\/span><span style=\"font-weight: 400;\">to\u00e0n ph\u1ea7n<\/span><span style=\"font-weight: 400;\"> = [2ab + 2 (a + b) x h] =\u00a0 [2 x 20 x 7 + 2 (20 +7) x 20] = 820 <\/span><span style=\"font-weight: 400;\">cm<\/span><span style=\"font-weight: 400;\">2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u00e1p s\u1ed1: 820 <\/span><span style=\"font-weight: 400;\">cm<\/span><span style=\"font-weight: 400;\">2<\/span><\/p>\n<p><b>V\u00ed D\u1ee5 3 (B\u00e0i T\u1eadp L\u1edbp 5):<\/b><span style=\"font-weight: 400;\"> H\u1ed9p kh\u00f4ng n\u1eafp: a=30cm, b=20cm, h=15cm. T\u00ednh di\u1ec7n t\u00edch t\u00f4n (S<\/span><i><span style=\"font-weight: 400;\">xq + S<\/span><\/i><span style=\"font-weight: 400;\">\u0111\u00e1y). K\u1ebft qu\u1ea3: 2100 cm\u00b2.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Nh\u1eefng l\u01b0u \u00fd khi t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Khi t\u00ednh S c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt, c\u00f3 m\u1ed9t s\u1ed1 \u0111i\u1ec3m quan tr\u1ecdng m\u00e0 ng\u01b0\u1eddi d\u00f9ng c\u1ea7n l\u01b0u \u00fd \u0111\u1ec3 \u0111\u1ea3m b\u1ea3o t\u00ednh ch\u00ednh x\u00e1c v\u00e0 hi\u1ec3u r\u00f5 v\u1ec1 b\u00e0i to\u00e1n nh\u01b0 sau:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0110\u1ec3 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt, b\u1ea1n c\u1ea7n\u00a0 x\u00e1c \u0111\u1ecbnh ch\u00ednh x\u00e1c \u0111\u1ed9 d\u00e0i k\u00edch th\u01b0\u1edbc c\u1ee7a chi\u1ec1u d\u00e0i (a), chi\u1ec1u r\u1ed9ng (b) v\u00e0 chi\u1ec1u cao (h) \u0111\u1ec3 tr\u00e1nh sai s\u00f3t trong qu\u00e1 tr\u00ecnh t\u00ednh to\u00e1n.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Ch\u1eafc ch\u1eafn r\u1eb1ng t\u1ea5t c\u1ea3 c\u00e1c k\u00edch th\u01b0\u1edbc trong h\u00ecnh h\u1ed9p ch\u1eef hi\u1ec3n th\u1ecb c\u00f9ng m\u1ed9t \u0111\u01a1n v\u1ecb. N\u1ebfu c\u00e1c \u0111\u01a1n v\u1ecb kh\u00e1c nhau, h\u00e3y chuy\u1ec3n \u0111\u1ed5i ch\u00fang th\u00e0nh c\u00f9ng m\u1ed9t \u0111\u01a1n v\u1ecb tr\u01b0\u1edbc khi t\u00ednh to\u00e1n.<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-11.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-11-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-11-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-300704 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-11.jpg\" alt=\"dien-tich-hinh-hop-chu-nhat-11\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-11.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-11-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-11-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Sau khi t\u00ednh di\u1ec7n t\u00edch, h\u00e3y ki\u1ec3m tra l\u1ea1i k\u1ebft qu\u1ea3 c\u1ee7a b\u1ea1n \u0111\u1ec3 \u0111\u1ea3m b\u1ea3o t\u00ednh ch\u00ednh x\u00e1c. \u0110\u00f4i khi, m\u1ed9t l\u1ed7i nh\u1ecf trong vi\u1ec7c \u0111\u1ecdc s\u1ed1 li\u1ec7u ho\u1eb7c th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh c\u00f3 th\u1ec3 d\u1eabn \u0111\u1ebfn k\u1ebft qu\u1ea3 kh\u00f4ng ch\u00ednh x\u00e1c.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Hi\u1ec3u r\u00f5 c\u00e1c ng\u1eef c\u1ea3nh v\u00e0 y\u00eau c\u1ea7u c\u1ee7a b\u00e0i to\u00e1n \u0111\u1eb7t ra. \u0110i\u1ec1u n\u00e0y gi\u00fap x\u00e1c \u0111\u1ecbnh di\u1ec7n t\u00edch n\u00e0o c\u1ea7n \u0111\u01b0\u1ee3c t\u00ednh to\u00e1n (xung quanh, to\u00e0n ph\u1ea7n) v\u00e0 c\u00e1ch s\u1eed d\u1ee5ng k\u1ebft qu\u1ea3 t\u00ednh to\u00e1n trong ng\u1eef c\u1ea3nh c\u1ee5 th\u1ec3 c\u1ee7a v\u1ea5n \u0111\u1ec1.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Trong nhi\u1ec1u tr\u01b0\u1eddng h\u1ee3p s\u1ed1 li\u1ec7u qu\u00e1 nhi\u1ec1u, b\u1ea1n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng m\u00e1y t\u00ednh ho\u1eb7c c\u00f4ng c\u1ee5 t\u00ednh to\u00e1n tr\u1ef1c tuy\u1ebfn c\u00f3 th\u1ec3 gi\u00fap gi\u1ea3m thi\u1ec3u sai s\u1ed1 t\u00ednh to\u00e1n v\u00e0 t\u0103ng t\u00ednh ch\u00ednh x\u00e1c trong qu\u00e1 tr\u00ecnh gi\u1ea3i.<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">\u1ee8ng d\u1ee5ng c\u1ee7a c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt th\u1ef1c t\u1ebf \u0111\u00f3ng vai tr\u00f2 \u0111\u1eb7c bi\u1ec7t \u0111\u1ed1i v\u1edbi nhi\u1ec1u l\u0129nh v\u1ef1c, \u0111\u1eb7c bi\u1ec7t l\u00e0 trong kh\u00eda c\u1ea1nh h\u1ecdc t\u1eadp. Vi\u1ec7c li\u00ean t\u1ee5c xu\u1ea5t hi\u1ec7n trong c\u00e1c \u0111\u1ec1 thi qu\u1ed1c gia khi\u1ebfn cho c\u00f4ng th\u1ee9c n\u00e0y tr\u1edf th\u00e0nh m\u1ed9t ch\u1ee7 \u0111\u1ec1 \u0111\u01b0\u1ee3c nhi\u1ec1u h\u1ecdc sinh ch\u00fa tr\u1ecdng nghi\u00ean c\u1ee9u. \u0110i\u1ec1u n\u00e0y t\u00e1c \u0111\u1ed9ng r\u1ea5t l\u1edbn \u0111\u1ebfn ch\u1ea5t l\u01b0\u1ee3ng \u0111\u00e0o t\u1ea1o trong l\u0129nh v\u1ef1c gi\u00e1o d\u1ee5c. \u0110\u1ed3ng th\u1eddi trang b\u1ecb cho h\u1ecdc sinh nh\u1eefng k\u1ef9 n\u0103ng c\u1ea7n thi\u1ebft trong vi\u1ec7c t\u00ednh to\u00e1n v\u00e0 l\u00e0m vi\u1ec7c trong m\u00f4i tr\u01b0\u1eddng h\u00ecnh h\u1ecdc kh\u00f4ng gian \u0111a chi\u1ec1u.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-8.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-8-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-8-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-300700 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-8.jpg\" alt=\"dien-tich-hinh-hop-chu-nhat-8\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-8.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-8-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-8-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">H\u01a1n th\u1ebf, trong l\u0129nh v\u1ef1c\u00a0 x\u00e2y d\u1ef1ng v\u00e0 ki\u1ebfn tr\u00fac, c\u00f4ng th\u1ee9c n\u00e0y \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng \u0111\u1ec3 t\u00ednh to\u00e1n l\u01b0\u1ee3ng v\u1eadt li\u1ec7u c\u1ea7n thi\u1ebft cho vi\u1ec7c x\u00e2y d\u1ef1ng c\u00e1c c\u1ea5u tr\u00fac nh\u01b0 t\u01b0\u1eddng, s\u00e0n v\u00e0 m\u00e1i nh\u00e0. N\u00f3 c\u0169ng h\u1ed7 tr\u1ee3 trong vi\u1ec7c \u0111\u01b0a ra b\u1ea3ng b\u00e1o gi\u00e1 v\u00e0 \u01b0\u1edbc l\u01b0\u1ee3ng chi ph\u00ed x\u00e2y d\u1ef1ng. Th\u1eadm ch\u00ed, nhi\u1ec1u ng\u01b0\u1eddi c\u00f2n \u00e1p d\u1ee5ng c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh b\u1ec1 m\u1eb7t c\u1ee7a s\u1ea3n ph\u1ea9m. T\u1eeb \u0111\u00f3 gi\u00fap h\u1ecd d\u1ec5 d\u00e0ng \u0111\u01b0a ra quy\u1ebft \u0111\u1ecbnh li\u00ean quan \u0111\u1ebfn l\u01b0\u1ee3ng v\u1eadt li\u1ec7u bao b\u00ec c\u1ea7n s\u1eed d\u1ee5ng v\u00e0 th\u1eddi gian ho\u00e0n th\u00e0nh l\u01b0\u1ee3ng c\u00f4ng vi\u1ec7c \u0111\u01b0\u1ee3c giao.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ngo\u00e0i ra, c\u00f4ng th\u1ee9c t\u00ednh S c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f2n \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau. Ch\u00fang c\u00f3 vai tr\u00f2 quan tr\u1ecdng trong ng\u00e0nh thi\u1ebft k\u1ebf \u0111\u1ed3 h\u1ecda, l\u0129nh v\u1ef1c b\u1ea5t \u0111\u1ed9ng s\u1ea3n, quy ho\u1ea1ch \u0111\u00f4 th\u1ecb,&#8230; Do \u0111\u00f3, vi\u1ec7c hi\u1ec3u v\u00e0 \u00e1p d\u1ee5ng c\u00e1ch t\u00ednh c\u1ee7a h\u00ecnh h\u1ecdc kh\u00f4ng gian n\u00e0y l\u00e0 \u0111i\u1ec1u c\u1ea7n thi\u1ebft m\u00e0 m\u1ecdi h\u1ecdc sinh \u0111\u1ec1u ph\u1ea3i n\u1eafm b\u1eaft \u0111\u01b0\u1ee3c.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Nh\u1eefng th\u1eafc m\u1eafc chung khi t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">N\u1ebfu trong qu\u00e1 tr\u00ecnh \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u1ee7a b\u1ea1n c\u0169ng g\u1eb7p v\u1ea5n \u0111\u1ec1, h\u00e3y tham kh\u1ea3o m\u1ed9t s\u1ed1 ph\u01b0\u01a1ng \u00e1n \u0111\u1ec1 xu\u1ea5t c\u1ee7a ch\u00fang t\u00f4i d\u01b0\u1edbi \u0111\u00e2y nh\u00e9.<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">N\u00ean t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt khi n\u00e0o?<\/span><\/h3>\n<p><b>Tr\u1ea3 l\u1eddi<\/b><span style=\"font-weight: 400;\">: Th\u1ef1c t\u1ebf, \u0111\u1ed1i v\u1edbi c\u00e1c b\u00e0i to\u00e1n th\u00ec h\u1ecdc sinh n\u00ean t\u00ednh di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt khi t\u00ecm hi\u1ec3u c\u00e1c ch\u1ec9 s\u1ed1 v\u1ec1 chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao. Hi\u1ec3u chi ti\u1ebft h\u01a1n, ng\u01b0\u1eddi d\u00f9ng n\u00ean t\u00ednh Stp c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt khi b\u1ea1n c\u1ea7n c\u00f3 th\u00f4ng tin v\u1ec1 t\u1ed5ng di\u1ec7n t\u00edch c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c m\u1eb7t bao g\u1ed3m c\u1ea3 m\u1eb7t \u0111\u00e1y v\u00e0 m\u1eb7t tr\u00ean, c\u00f9ng v\u1edbi t\u1ea5t c\u1ea3 c\u00e1c m\u1eb7t b\u00ean c\u1ee7a kh\u1ed1i h\u1ed9p.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-9.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-9-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-9-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-300701 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-9.jpg\" alt=\"dien-tich-hinh-hop-chu-nhat-9\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-9.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-9-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-9-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><span style=\"font-weight: 400;\">T\u00ednh di\u1ec7n t\u00edch xung quanh h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u1ec3 l\u00e0m g\u00ec?<\/span><\/h3>\n<p><b>Tr\u1ea3 l\u1eddi<\/b><span style=\"font-weight: 400;\">: Th\u01b0\u1eddng th\u00ec vi\u1ec7c t\u00ednh di\u1ec7n t\u00edch xung quanh c\u00f3 m\u1ee5c \u0111\u00edch ch\u00ednh l\u00e0 \u0111\u1ec3 \u0111o l\u01b0\u1eddng ph\u1ea7n b\u1ec1 m\u1eb7t n\u1eb1m xung quanh h\u00ecnh h\u1ed9p. \u0110i\u1ec1u n\u00e0y hay \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng trong vi\u1ec7c s\u01a1n, l\u00f3t ho\u1eb7c \u0111\u00f3ng g\u00f3i v\u1eadt ph\u1ea9m nh\u1eb1m gi\u00fap \u01b0\u1edbc l\u01b0\u1ee3ng l\u01b0\u1ee3ng v\u1eadt li\u1ec7u c\u1ea7n thi\u1ebft v\u00e0 chi ph\u00ed li\u00ean quan m\u00e0 kh\u00f4ng c\u1ea7n x\u00e9t \u0111\u1ebfn m\u1eb7t \u0111\u00e1y v\u00e0 m\u1eb7t tr\u00ean c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-10.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-10-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-10-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-300702 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-10.jpg\" alt=\"dien-tich-hinh-hop-chu-nhat-10\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-10.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-10-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-hop-chu-nhat-10-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u00ecn chung, c\u00f4ng th\u1ee9c t\u00ednh <\/span><b>di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/b><span style=\"font-weight: 400;\"> \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng r\u1ea5t nhi\u1ec1u trong cu\u1ed9c s\u1ed1ng c\u1ee7a ch\u00fang ta. Do \u0111\u00f3, <\/span><b>Ho\u00e0ng H\u00e0 Mobile<\/b><span style=\"font-weight: 400;\"> mong r\u1eb1ng, qu\u00fd \u0111\u1ed9c gi\u1ea3 khi \u0111\u00e3 nghi\u00ean c\u1ee9u v\u1ec1 \u0111\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u0169ng nh\u01b0 c\u00f4ng th\u1ee9c c\u1ee7a h\u00ecnh h\u1ecdc n\u00e0y th\u00ec s\u1ebd \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c ch\u00fang trong qu\u00e1 tr\u00ecnh l\u00e0m vi\u1ec7c v\u00e0 h\u1ecdc t\u1eadp c\u1ee7a m\u00ecnh. \u0110\u1eebng qu\u00ean, c\u1eadp nh\u1eadt th\u00eam c\u00e1c g\u1ee3i \u00fd d\u01b0\u1edbi \u0111\u00e2y \u0111\u1ec3 b\u1ed5 sung v\u00e0o kho t\u00e0ng ki\u1ebfn th\u1ee9c c\u00e1 nh\u00e2n c\u1ee7a m\u00ecnh nh\u00e9.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">XEM TH\u00caM<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/duong-cao-tam-giac-can\/\"><span style=\"font-weight: 400;\">C\u00e1ch t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, vu\u00f4ng, \u0111\u1ec1u k\u00e8m b\u00e0i t\u1eadp<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/\"><span style=\"font-weight: 400;\">S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/giai-phuong-trinh-bac-2\/\"><span style=\"font-weight: 400;\">C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc 2 nhanh ch\u00f3ng nh\u1ea5t<\/span><\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 t\u1ed5ng di\u1ec7n t\u00edch 6 m\u1eb7t, th\u01b0\u1eddng g\u00e2y kh\u00f3 kh\u0103n cho h\u1ecdc sinh l\u1edbp 5. C\u00f4ng th\u1ee9c \u0111\u01a1n gi\u1ea3n: S_to\u00e0n ph\u1ea7n = 2ab + 2(a + b)h (v\u1edbi a: chi\u1ec1u d\u00e0i, b: chi\u1ec1u r\u1ed9ng, h: chi\u1ec1u cao). B\u00e0i vi\u1ebft h\u01b0\u1edbng d\u1eabn chi ti\u1ebft \u0111\u1ecbnh ngh\u0129a, t\u00ednh ch\u1ea5t, [&hellip;]<\/p>\n","protected":false},"author":101,"featured_media":300692,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-300691","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Di\u1ec7n T\u00edch To\u00e0n Ph\u1ea7n H\u00ecnh H\u1ed9p Ch\u1eef Nh\u1eadt: C\u00f4ng Th\u1ee9c, V\u00ed D\u1ee5 Chi Ti\u1ebft L\u1edbp 5<\/title>\n<meta name=\"description\" content=\"C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt: S = 2ab + 2(a + b)h. H\u01b0\u1edbng d\u1eabn chi ti\u1ebft, v\u00ed d\u1ee5 l\u1edbp 5, b\u00e0i t\u1eadp th\u1ef1c h\u00e0nh. \u00c1p d\u1ee5ng d\u1ec5 d\u00e0ng cho h\u1ecdc sinh!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-hop-chu-nhat\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Di\u1ec7n T\u00edch To\u00e0n Ph\u1ea7n H\u00ecnh H\u1ed9p Ch\u1eef Nh\u1eadt: C\u00f4ng Th\u1ee9c V\u00e0 V\u00ed D\u1ee5 Chi Ti\u1ebft\" \/>\n<meta property=\"og:description\" content=\"C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt: S = 2ab + 2(a + b)h. 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