{"id":567140,"date":"2026-07-20T15:34:00","date_gmt":"2026-07-20T08:34:00","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=567140"},"modified":"2026-07-20T15:34:00","modified_gmt":"2026-07-20T08:34:00","slug":"the-tich-hinh-hop-chu-nhat","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-hinh-hop-chu-nhat\/","title":{"rendered":"Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt: c\u00f4ng th\u1ee9c v\u00e0 v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i"},"content":{"rendered":"<p>Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c V = a \u00d7 b \u00d7 c, trong \u0111\u00f3 a, b, c l\u1ea7n l\u01b0\u1ee3t l\u00e0 chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc kh\u00f4ng gian c\u01a1 b\u1ea3n trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n t\u1eeb l\u1edbp 5 \u0111\u1ebfn l\u1edbp 8, \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng nhi\u1ec1u khi t\u00ednh dung t\u00edch th\u00f9ng h\u00e0ng, b\u1ec3 n\u01b0\u1edbc hay ph\u00f2ng \u1edf. N\u1ed9i dung sau t\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch, di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n, \u0111\u01b0\u1eddng ch\u00e9o, v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc v\u00e0 b\u1ea3ng quy \u0111\u1ed5i \u0111\u01a1n v\u1ecb \u0111\u1ec3 b\u1ea1n \u00e1p d\u1ee5ng ch\u00ednh x\u00e1c.<\/p>\n<h2>H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 g\u00ec?<\/h2>\n<p>H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 kh\u1ed1i h\u00ecnh h\u1ecdc kh\u00f4ng gian c\u00f3 6 m\u1eb7t \u0111\u1ec1u l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt, 8 \u0111\u1ec9nh v\u00e0 12 c\u1ea1nh.<\/p>\n<p>C\u00e1c m\u1eb7t \u0111\u1ed1i di\u1ec7n c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt song song v\u00e0 b\u1eb1ng nhau t\u1eebng \u0111\u00f4i m\u1ed9t; 12 c\u1ea1nh c\u0169ng chia th\u00e0nh 3 nh\u00f3m song song v\u00e0 b\u1eb1ng nhau, t\u01b0\u01a1ng \u1ee9ng v\u1edbi 3 k\u00edch th\u01b0\u1edbc \u0111\u1eb7c tr\u01b0ng l\u00e0 chi\u1ec1u d\u00e0i (a), chi\u1ec1u r\u1ed9ng (b) v\u00e0 chi\u1ec1u cao (c). Khi c\u1ea3 ba k\u00edch th\u01b0\u1edbc n\u00e0y b\u1eb1ng nhau, h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt tr\u1edf th\u00e0nh tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t g\u1ecdi l\u00e0 h\u00ecnh l\u1eadp ph\u01b0\u01a1ng, khi \u0111\u00f3 th\u1ec3 t\u00edch t\u00ednh \u0111\u01a1n gi\u1ea3n b\u1eb1ng V = a\u00b3.<\/p>\n<p>V\u1ec1 b\u1ea3n ch\u1ea5t, h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 m\u1ed9t d\u1ea1ng l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 \u0111\u00e1y l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. B\u1ea1n c\u00f3 th\u1ec3 xem th\u00eam <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-lang-tru-dung\/\">c\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch, di\u1ec7n t\u00edch h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng<\/a> \u0111\u1ec3 n\u1eafm nh\u00f3m ki\u1ebfn th\u1ee9c t\u1ed5ng qu\u00e1t h\u01a1n.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-568158\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-1.jpg\" alt=\"the-tich-hinh-hop-chu-nhat-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/h2>\n<p>Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt b\u1eb1ng t\u00edch c\u1ee7a ba k\u00edch th\u01b0\u1edbc chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao.<\/p>\n<p>C\u00f4ng th\u1ee9c: <b>V = a \u00d7 b \u00d7 c<\/b>, trong \u0111\u00f3 a l\u00e0 chi\u1ec1u d\u00e0i, b l\u00e0 chi\u1ec1u r\u1ed9ng, c l\u00e0 chi\u1ec1u cao, c\u00f9ng \u0111o theo m\u1ed9t \u0111\u01a1n v\u1ecb. C\u00f3 th\u1ec3 hi\u1ec3u \u0111\u01a1n gi\u1ea3n l\u00e0 th\u1ec3 t\u00edch b\u1eb1ng di\u1ec7n t\u00edch \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao: \u0111\u00e1y h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 di\u1ec7n t\u00edch S = a \u00d7 b, n\u00ean V = S \u00d7 c = a \u00d7 b \u00d7 c.<\/p>\n<p>V\u00ed d\u1ee5 nhanh: h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i 5cm, chi\u1ec1u r\u1ed9ng 3cm, chi\u1ec1u cao 4cm th\u00ec th\u1ec3 t\u00edch l\u00e0 V = 5 \u00d7 3 \u00d7 4 = 60cm\u00b3.<\/p>\n<h2>V\u00ed d\u1ee5 t\u00ednh th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 ba v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc \u0111\u1ec3 b\u1ea1n \u0111\u1ed1i chi\u1ebfu c\u00e1ch l\u00e0m.<\/p>\n<p><b>V\u00ed d\u1ee5 1:<\/b> M\u1ed9t chi\u1ebfc h\u1ed9p qu\u00e0 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 k\u00edch th\u01b0\u1edbc 10cm \u00d7 6cm \u00d7 4cm. T\u00ednh th\u1ec3 t\u00edch chi\u1ebfc h\u1ed9p.<\/p>\n<p><i>L\u1eddi gi\u1ea3i:<\/i><\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: X\u00e1c \u0111\u1ecbnh a = 10cm, b = 6cm, c = 4cm (\u0111\u00e3 c\u00f9ng \u0111\u01a1n v\u1ecb cm).<\/li>\n<li>B\u01b0\u1edbc 2: \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c V = a \u00d7 b \u00d7 c = 10 \u00d7 6 \u00d7 4.<\/li>\n<li>B\u01b0\u1edbc 3: T\u00ednh 10 \u00d7 6 = 60, sau \u0111\u00f3 60 \u00d7 4 = 240.<\/li>\n<\/ul>\n<p>V\u1eady th\u1ec3 t\u00edch chi\u1ebfc h\u1ed9p qu\u00e0 l\u00e0 V = 240cm\u00b3.<\/p>\n<p><b>V\u00ed d\u1ee5 2:<\/b> M\u1ed9t b\u1ec3 n\u01b0\u1edbc h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i 2m, chi\u1ec1u r\u1ed9ng 1,5m, chi\u1ec1u cao 1m. H\u1ecfi khi \u0111\u1ed5 \u0111\u1ea7y, b\u1ec3 ch\u1ee9a \u0111\u01b0\u1ee3c bao nhi\u00eau l\u00edt n\u01b0\u1edbc?<\/p>\n<p><i>L\u1eddi gi\u1ea3i:<\/i><\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: X\u00e1c \u0111\u1ecbnh a = 2m, b = 1,5m, c = 1m (\u0111\u00e3 c\u00f9ng \u0111\u01a1n v\u1ecb m\u00e9t).<\/li>\n<li>B\u01b0\u1edbc 2: T\u00ednh th\u1ec3 t\u00edch V = a \u00d7 b \u00d7 c = 2 \u00d7 1,5 \u00d7 1 = 3m\u00b3.<\/li>\n<li>B\u01b0\u1edbc 3: \u0110\u1ed5i ra l\u00edt theo m\u1ed1c 1m\u00b3 = 1.000 l\u00edt, suy ra 3m\u00b3 = 3.000 l\u00edt.<\/li>\n<\/ul>\n<p>V\u1eady b\u1ec3 ch\u1ee9a t\u1ed1i \u0111a 3.000 l\u00edt n\u01b0\u1edbc.<\/p>\n<p><b>V\u00ed d\u1ee5 3:<\/b> M\u1ed9t th\u00f9ng carton h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 \u0111\u00e1y k\u00edch th\u01b0\u1edbc 5cm \u00d7 6cm v\u00e0 th\u1ec3 t\u00edch 120cm\u00b3. T\u00ednh chi\u1ec1u cao th\u00f9ng.<\/p>\n<p><i>L\u1eddi gi\u1ea3i:<\/i><\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: Di\u1ec7n t\u00edch \u0111\u00e1y S = a \u00d7 b = 5 \u00d7 6 = 30cm\u00b2.<\/li>\n<li>B\u01b0\u1edbc 2: T\u1eeb c\u00f4ng th\u1ee9c V = S \u00d7 c, suy ra chi\u1ec1u cao c = V \u00f7 S = 120 \u00f7 30.<\/li>\n<li>B\u01b0\u1edbc 3: T\u00ednh 120 \u00f7 30 = 4.<\/li>\n<\/ul>\n<p>V\u1eady chi\u1ec1u cao th\u00f9ng carton l\u00e0 4cm.<\/p>\n<h2>Di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 \u0111\u01b0\u1eddng ch\u00e9o h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/h2>\n<p>Ngo\u00e0i th\u1ec3 t\u00edch, ba \u0111\u1ea1i l\u01b0\u1ee3ng kh\u00e1c c\u0169ng th\u01b0\u1eddng g\u1eb7p khi gi\u1ea3i b\u00e0i t\u1eadp v\u1ec1 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng ch\u00e9o.<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0110\u1ea1i l\u01b0\u1ee3ng<\/th>\n<th>C\u00f4ng th\u1ee9c<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Th\u1ec3 t\u00edch (V)<\/td>\n<td>V = a \u00d7 b \u00d7 c<\/td>\n<\/tr>\n<tr>\n<td>Di\u1ec7n t\u00edch xung quanh (Sxq)<\/td>\n<td>Sxq = 2c \u00d7 (a + b)<\/td>\n<\/tr>\n<tr>\n<td>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n (Stp)<\/td>\n<td>Stp = Sxq + 2ab<\/td>\n<\/tr>\n<tr>\n<td>\u0110\u01b0\u1eddng ch\u00e9o (d)<\/td>\n<td>d = \u221a(a\u00b2 + b\u00b2 + c\u00b2)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Trong \u0111\u00f3 a, b l\u00e0 k\u00edch th\u01b0\u1edbc \u0111\u00e1y, c l\u00e0 chi\u1ec1u cao. \u0110\u01b0\u1eddng ch\u00e9o d l\u00e0 \u0111o\u1ea1n n\u1ed1i hai \u0111\u1ec9nh xa nhau nh\u1ea5t c\u1ee7a h\u00ecnh h\u1ed9p, t\u00ednh theo \u0111\u1ecbnh l\u00fd Pythagoras m\u1edf r\u1ed9ng trong kh\u00f4ng gian ba chi\u1ec1u.<\/p>\n<p><b>V\u00ed d\u1ee5 4:<\/b> M\u1ed9t h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i 4cm, chi\u1ec1u r\u1ed9ng 3cm, chi\u1ec1u cao 12cm. T\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 \u0111\u01b0\u1eddng ch\u00e9o.<\/p>\n<p><i>L\u1eddi gi\u1ea3i:<\/i><\/p>\n<ul>\n<li>Di\u1ec7n t\u00edch xung quanh: Sxq = 2c(a + b) = 2 \u00d7 12 \u00d7 (4 + 3) = 24 \u00d7 7 = 168cm\u00b2.<\/li>\n<li>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n: Stp = Sxq + 2ab = 168 + 2 \u00d7 4 \u00d7 3 = 168 + 24 = 192cm\u00b2.<\/li>\n<li>\u0110\u01b0\u1eddng ch\u00e9o: d = \u221a(a\u00b2 + b\u00b2 + c\u00b2) = \u221a(4\u00b2 + 3\u00b2 + 12\u00b2) = \u221a(16 + 9 + 144) = \u221a169 = 13cm.<\/li>\n<\/ul>\n<p>V\u1eady h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt n\u00e0y c\u00f3 di\u1ec7n t\u00edch xung quanh 168cm\u00b2, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n 192cm\u00b2 v\u00e0 \u0111\u01b0\u1eddng ch\u00e9o d\u00e0i 13cm.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-568157\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-2.jpg\" alt=\"the-tich-hinh-hop-chu-nhat-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>B\u1ea3ng quy \u0111\u1ed5i \u0111\u01a1n v\u1ecb th\u1ec3 t\u00edch th\u01b0\u1eddng d\u00f9ng<\/h2>\n<p>Th\u1ec3 t\u00edch lu\u00f4n t\u00ednh theo \u0111\u01a1n v\u1ecb kh\u1ed1i (m\u0169 3); khi \u0111\u01a1n v\u1ecb \u0111o chi\u1ec1u d\u00e0i g\u1ea5p ho\u1eb7c gi\u1ea3m 10 l\u1ea7n, \u0111\u01a1n v\u1ecb th\u1ec3 t\u00edch t\u01b0\u01a1ng \u1ee9ng g\u1ea5p ho\u1eb7c gi\u1ea3m 1.000 l\u1ea7n.<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0110\u01a1n v\u1ecb<\/th>\n<th>Quy \u0111\u1ed5i t\u01b0\u01a1ng \u0111\u01b0\u01a1ng<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1cm\u00b3<\/td>\n<td>= 0,001dm\u00b3 = 0,000001m\u00b3<\/td>\n<\/tr>\n<tr>\n<td>1dm\u00b3<\/td>\n<td>= 1.000cm\u00b3 = 1 l\u00edt = 0,001m\u00b3<\/td>\n<\/tr>\n<tr>\n<td>1m\u00b3<\/td>\n<td>= 1.000dm\u00b3 = 1.000.000cm\u00b3 = 1.000 l\u00edt<\/td>\n<\/tr>\n<tr>\n<td>1 l\u00edt<\/td>\n<td>= 1dm\u00b3 = 1.000cm\u00b3 = 0,001m\u00b3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>L\u01b0u \u00fd: c\u1ea7n \u0111\u01b0a c\u1ea3 ba k\u00edch th\u01b0\u1edbc a, b, c v\u1ec1 c\u00f9ng m\u1ed9t \u0111\u01a1n v\u1ecb tr\u01b0\u1edbc khi nh\u00e2n; n\u1ebfu \u0111\u1ec1 cho l\u1eabn m\u00e9t v\u00e0 x\u0103ng-ti-m\u00e9t, h\u00e3y quy \u0111\u1ed5i th\u1ed1ng nh\u1ea5t tr\u01b0\u1edbc khi \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c V = a \u00d7 b \u00d7 c.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-568156\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-3.jpg\" alt=\"the-tich-hinh-hop-chu-nhat-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-hop-chu-nhat-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>M\u1ed9t s\u1ed1 l\u01b0u \u00fd khi gi\u1ea3i b\u00e0i t\u1eadp th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/h2>\n<p>Hai l\u01b0u \u00fd sau gi\u00fap b\u1ea1n tr\u00e1nh sai s\u00f3t th\u01b0\u1eddng g\u1eb7p:<\/p>\n<ul>\n<li>V\u1edbi d\u1ea1ng t\u00ecm k\u00edch th\u01b0\u1edbc c\u00f2n thi\u1ebfu (nh\u01b0 v\u00ed d\u1ee5 3), lu\u00f4n xu\u1ea5t ph\u00e1t t\u1eeb c\u00f4ng th\u1ee9c g\u1ed1c V = a \u00d7 b \u00d7 c r\u1ed3i bi\u1ebfn \u0111\u1ed5i \u0111\u1ec3 r\u00fat ra \u1ea9n s\u1ed1 c\u1ea7n t\u00ecm.<\/li>\n<li>V\u1edbi b\u00e0i to\u00e1n th\u1ef1c t\u1ebf nh\u01b0 b\u1ec3 n\u01b0\u1edbc, b\u1ec3 b\u01a1i, th\u00f9ng h\u00e0ng, h\u00e3y \u0111\u1ecdc k\u1ef9 \u0111\u01a1n v\u1ecb \u0111\u1ec1 b\u00e0i cho v\u00e0 \u0111\u01a1n v\u1ecb \u0111\u1ec1 b\u00e0i h\u1ecfi \u2014 \u0111\u00e2y l\u00e0 l\u1ed7i sai ph\u1ed5 bi\u1ebfn nh\u1ea5t khi t\u00ednh th\u1ec3 t\u00edch.<\/li>\n<\/ul>\n<p>Ngo\u00e0i h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt, b\u1ea1n c\u00f3 th\u1ec3 \u00f4n th\u00eam c\u00e1ch t\u00ednh <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/chu-vi-hinh-chu-nhat\/\">chu vi h\u00ecnh ch\u1eef nh\u1eadt<\/a> \u0111\u1ec3 n\u1eafm tr\u1ecdn b\u1ed9 c\u00f4ng th\u1ee9c cho c\u1ea3 d\u1ea1ng ph\u1eb3ng l\u1eabn d\u1ea1ng kh\u1ed1i.<\/p>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/h2>\n<h3>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 g\u00ec?<\/h3>\n<p>Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt b\u1eb1ng t\u00edch chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao: V = a \u00d7 b \u00d7 c.<\/p>\n<h3>H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i 5cm, r\u1ed9ng 3cm, cao 4cm th\u00ec th\u1ec3 t\u00edch bao nhi\u00eau?<\/h3>\n<p>Th\u1ec3 t\u00edch l\u00e0 V = 5 \u00d7 3 \u00d7 4 = 60cm\u00b3.<\/p>\n<h3>Di\u1ec7n t\u00edch xung quanh h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt t\u00ednh th\u1ebf n\u00e0o?<\/h3>\n<p>Di\u1ec7n t\u00edch xung quanh b\u1eb1ng 2 l\u1ea7n chi\u1ec1u cao nh\u00e2n v\u1edbi t\u1ed5ng chi\u1ec1u d\u00e0i v\u00e0 chi\u1ec1u r\u1ed9ng: Sxq = 2c(a + b).<\/p>\n<h3>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt t\u00ednh th\u1ebf n\u00e0o?<\/h3>\n<p>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n b\u1eb1ng di\u1ec7n t\u00edch xung quanh c\u1ed9ng di\u1ec7n t\u00edch hai \u0111\u00e1y: Stp = Sxq + 2ab.<\/p>\n<h3>\u0110\u01b0\u1eddng ch\u00e9o h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt t\u00ednh theo c\u00f4ng th\u1ee9c n\u00e0o?<\/h3>\n<p>\u0110\u01b0\u1eddng ch\u00e9o t\u00ednh b\u1eb1ng d = \u221a(a\u00b2 + b\u00b2 + c\u00b2), v\u1edbi a, b, c l\u00e0 ba k\u00edch th\u01b0\u1edbc c\u1ee7a h\u00ecnh h\u1ed9p.<\/p>\n<h3>\u0110\u01a1n v\u1ecb th\u1ec3 t\u00edch th\u01b0\u1eddng d\u00f9ng l\u00e0 g\u00ec v\u00e0 quy \u0111\u1ed5i ra sao?<\/h3>\n<p>Th\u1ec3 t\u00edch t\u00ednh theo \u0111\u01a1n v\u1ecb kh\u1ed1i nh\u01b0 cm\u00b3, dm\u00b3, m\u00b3; trong \u0111\u00f3 1dm\u00b3 = 1 l\u00edt = 1.000cm\u00b3 v\u00e0 1m\u00b3 = 1.000 l\u00edt.<\/p>\n<h3>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 ph\u1ea3i l\u00e0 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt kh\u00f4ng?<\/h3>\n<p>C\u00f3. H\u00ecnh l\u1eadp ph\u01b0\u01a1ng l\u00e0 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u1eb7c bi\u1ec7t khi ba k\u00edch th\u01b0\u1edbc b\u1eb1ng nhau, khi \u0111\u00f3 th\u1ec3 t\u00edch t\u00ednh b\u1eb1ng V = a\u00b3.<\/p>\n<h3>T\u00ednh dung t\u00edch b\u1ec3 n\u01b0\u1edbc h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u1ea7n l\u01b0u \u00fd g\u00ec?<\/h3>\n<p>C\u1ea7n \u0111\u01b0a c\u00e1c k\u00edch th\u01b0\u1edbc v\u1ec1 c\u00f9ng \u0111\u01a1n v\u1ecb \u0111o, th\u01b0\u1eddng l\u00e0 m\u00e9t, tr\u01b0\u1edbc khi t\u00ednh V = a \u00d7 b \u00d7 c, sau \u0111\u00f3 \u0111\u1ed5i k\u1ebft qu\u1ea3 t\u1eeb m\u00b3 sang l\u00edt b\u1eb1ng c\u00e1ch nh\u00e2n v\u1edbi 1.000 \u0111\u1ec3 bi\u1ebft s\u1ee9c ch\u1ee9a th\u1ef1c t\u1ebf.<\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c V = a \u00d7 b \u00d7 c, v\u1edbi a, b, c l\u00e0 chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao. Ch\u1ec9 c\u1ea7n \u0111\u01b0a c\u00e1c k\u00edch th\u01b0\u1edbc v\u1ec1 c\u00f9ng \u0111\u01a1n v\u1ecb r\u1ed3i nh\u00e2n l\u1ea1i v\u1edbi nhau, b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c n\u00e0y cho c\u1ea3 b\u00e0i t\u1eadp l\u1eabn th\u1ef1c t\u1ebf nh\u01b0 \u0111o dung t\u00edch b\u1ec3 n\u01b0\u1edbc hay th\u00f9ng h\u00e0ng. \u0110\u1ec3 t\u00ecm hi\u1ec3u th\u00eam h\u00ecnh h\u1ecdc kh\u00f4ng gian, b\u1ea1n c\u00f3 th\u1ec3 xem c\u00e1c b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-khoi-cau\/\">c\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u<\/a>, <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-xung-quanh-hinh-tru\/\">di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/a> v\u00e0 <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/1-lit-bang-bao-nhieu-ml\/\">1 l\u00edt b\u1eb1ng bao nhi\u00eau ml<\/a> tr\u00ean chuy\u00ean m\u1ee5c tin t\u1ee9c c\u1ee7a Ho\u00e0ng H\u00e0 Mobile.<\/p>\n<p><b>Xem th\u00eam:<\/b><\/p>\n<ul>\n<li><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-khoi-tru\/\">H\u01b0\u1edbng d\u1eabn c\u00e1ch t\u00ednh th\u1ec3 t\u00edch kh\u1ed1i tr\u1ee5 v\u00e0 b\u00e0i t\u1eadp minh ho\u1ea1<\/a><\/li>\n<li><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-the-tich-khoi-tron-xoay\/\">C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch kh\u1ed1i tr\u00f2n xoay v\u00e0 v\u00ed d\u1ee5 minh h\u1ecda<\/a><\/li>\n<\/ul>\n<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [\n    {\n      \"@type\": \"Question\",\n      \"name\": \"C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 g\u00ec?\",\n      \"acceptedAnswer\": { \"@type\": \"Answer\", \"text\": \"Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt b\u1eb1ng t\u00edch chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao: V = a \u00d7 b \u00d7 c.\" }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i 5cm, r\u1ed9ng 3cm, cao 4cm th\u00ec th\u1ec3 t\u00edch bao nhi\u00eau?\",\n      \"acceptedAnswer\": { \"@type\": \"Answer\", \"text\": \"Th\u1ec3 t\u00edch l\u00e0 V = 5 \u00d7 3 \u00d7 4 = 60cm\u00b3.\" }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Di\u1ec7n t\u00edch xung quanh h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt t\u00ednh th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": { \"@type\": \"Answer\", \"text\": \"Di\u1ec7n t\u00edch xung quanh b\u1eb1ng 2 l\u1ea7n chi\u1ec1u cao nh\u00e2n v\u1edbi t\u1ed5ng chi\u1ec1u d\u00e0i v\u00e0 chi\u1ec1u r\u1ed9ng: Sxq = 2c(a + b).\" }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt t\u00ednh th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": { \"@type\": \"Answer\", \"text\": \"Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n b\u1eb1ng di\u1ec7n t\u00edch xung quanh c\u1ed9ng di\u1ec7n t\u00edch hai \u0111\u00e1y: Stp = Sxq + 2ab.\" }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"\u0110\u01b0\u1eddng ch\u00e9o h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt t\u00ednh theo c\u00f4ng th\u1ee9c n\u00e0o?\",\n      \"acceptedAnswer\": { \"@type\": \"Answer\", \"text\": \"\u0110\u01b0\u1eddng ch\u00e9o t\u00ednh b\u1eb1ng d = \u221a(a\u00b2 + b\u00b2 + c\u00b2), v\u1edbi a, b, c l\u00e0 ba k\u00edch th\u01b0\u1edbc c\u1ee7a h\u00ecnh h\u1ed9p.\" }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"\u0110\u01a1n v\u1ecb th\u1ec3 t\u00edch th\u01b0\u1eddng d\u00f9ng l\u00e0 g\u00ec v\u00e0 quy \u0111\u1ed5i ra sao?\",\n      \"acceptedAnswer\": { \"@type\": \"Answer\", \"text\": \"Th\u1ec3 t\u00edch t\u00ednh theo \u0111\u01a1n v\u1ecb kh\u1ed1i nh\u01b0 cm\u00b3, dm\u00b3, m\u00b3; trong \u0111\u00f3 1dm\u00b3 = 1 l\u00edt = 1.000cm\u00b3 v\u00e0 1m\u00b3 = 1.000 l\u00edt.\" }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 ph\u1ea3i l\u00e0 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt kh\u00f4ng?\",\n      \"acceptedAnswer\": { \"@type\": \"Answer\", \"text\": \"C\u00f3. H\u00ecnh l\u1eadp ph\u01b0\u01a1ng l\u00e0 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u1eb7c bi\u1ec7t khi ba k\u00edch th\u01b0\u1edbc b\u1eb1ng nhau, khi \u0111\u00f3 th\u1ec3 t\u00edch t\u00ednh b\u1eb1ng V = a\u00b3.\" }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"T\u00ednh dung t\u00edch b\u1ec3 n\u01b0\u1edbc h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u1ea7n l\u01b0u \u00fd g\u00ec?\",\n      \"acceptedAnswer\": { \"@type\": \"Answer\", \"text\": \"C\u1ea7n \u0111\u01b0a c\u00e1c k\u00edch th\u01b0\u1edbc v\u1ec1 c\u00f9ng \u0111\u01a1n v\u1ecb \u0111o, th\u01b0\u1eddng l\u00e0 m\u00e9t, tr\u01b0\u1edbc khi t\u00ednh V = a \u00d7 b \u00d7 c, sau \u0111\u00f3 \u0111\u1ed5i k\u1ebft qu\u1ea3 t\u1eeb m\u00b3 sang l\u00edt b\u1eb1ng c\u00e1ch nh\u00e2n v\u1edbi 1.000 \u0111\u1ec3 bi\u1ebft s\u1ee9c ch\u1ee9a th\u1ef1c t\u1ebf.\" }\n    }\n  ]\n}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c V = a \u00d7 b \u00d7 c, trong \u0111\u00f3 a, b, c l\u1ea7n l\u01b0\u1ee3t l\u00e0 chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc kh\u00f4ng gian c\u01a1 b\u1ea3n trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n t\u1eeb l\u1edbp 5 \u0111\u1ebfn l\u1edbp 8, \u0111\u01b0\u1ee3c \u1ee9ng [&hellip;]<\/p>\n","protected":false},"author":84,"featured_media":568155,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt","_yoast_wpseo_title":"Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt: c\u00f4ng th\u1ee9c + v\u00ed d\u1ee5","_yoast_wpseo_metadesc":"Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt b\u1eb1ng c\u00f4ng th\u1ee9c V = a \u00d7 b \u00d7 c. Xem v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i, c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch, \u0111\u01b0\u1eddng ch\u00e9o v\u00e0 b\u1ea3ng quy \u0111\u1ed5i \u0111\u01a1n v\u1ecb cm\u00b3\/dm\u00b3\/m\u00b3\/l\u00edt.","footnotes":""},"categories":[29235,3910,30453],"tags":[],"class_list":["post-567140","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-goc-to-mo","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt: c\u00f4ng th\u1ee9c + v\u00ed d\u1ee5<\/title>\n<meta name=\"description\" content=\"Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt b\u1eb1ng c\u00f4ng th\u1ee9c V = a \u00d7 b \u00d7 c. 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