{"id":307934,"date":"2024-01-18T16:44:52","date_gmt":"2024-01-18T09:44:52","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=307934"},"modified":"2025-12-25T22:41:39","modified_gmt":"2025-12-25T15:41:39","slug":"the-tich-khoi-lang-tru","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-khoi-lang-tru\/","title":{"rendered":"H\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c: \u0110\u1ecbnh ngh\u0129a, t\u00ednh ch\u1ea5t v\u00e0 c\u00f4ng th\u1ee9c t\u00ednh"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">H\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c l\u00e0 m\u1ed9t d\u1ea1ng h\u00ecnh h\u1ecdc kh\u00f4ng gian ph\u1ed5 bi\u1ebfn trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 7, g\u1ed3m hai \u0111\u00e1y tam gi\u00e1c b\u1eb1ng nhau song song v\u00e0 ba m\u1eb7t b\u00ean h\u00ecnh ch\u1eef nh\u1eadt. Bi\u1ebft t\u00ednh ch\u1ea5t h\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c v\u00e0 c\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch gi\u00fap h\u1ecdc sinh gi\u1ea3i b\u00e0i t\u1eadp d\u1ec5 d\u00e0ng, \u0111\u1ed3ng th\u1eddi \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf nh\u01b0 t\u00ednh th\u1ec3 t\u00edch l\u1ec1u, c\u1ed9t tr\u1ee5. B\u00e0i vi\u1ebft h\u01b0\u1edbng d\u1eabn chi ti\u1ebft \u0111\u1ecbnh ngh\u0129a, t\u00ednh ch\u1ea5t, c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 th\u1ec3 t\u00edch h\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c k\u00e8m v\u00ed d\u1ee5 minh h\u1ecda.<\/span><\/p>\n<h2><b>H\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c l\u00e0 g\u00ec?<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">H\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c l\u00e0 h\u00ecnh l\u0103ng tr\u1ee5 c\u00f3 hai \u0111\u00e1y l\u00e0 hai tam gi\u00e1c b\u1eb1ng nhau v\u00e0 song song v\u1edbi nhau. C\u00e1c m\u1eb7t b\u00ean l\u00e0 ba h\u00ecnh b\u00ecnh h\u00e0nh (th\u01b0\u1eddng l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt n\u1ebfu l\u00e0 l\u0103ng tr\u1ee5 \u0111\u1ee9ng).<\/span><\/p>\n<p><b>T\u00ednh ch\u1ea5t h\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Hai \u0111\u00e1y l\u00e0 hai tam gi\u00e1c b\u1eb1ng nhau, n\u1eb1m tr\u00ean hai m\u1eb7t ph\u1eb3ng song song.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">C\u00e1c c\u1ea1nh b\u00ean song song v\u00e0 b\u1eb1ng nhau.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">C\u00e1c m\u1eb7t b\u00ean l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">N\u1ebfu l\u00e0 l\u0103ng tr\u1ee5 \u0111\u1ee9ng tam gi\u00e1c: C\u00e1c c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y, m\u1eb7t b\u00ean l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt, chi\u1ec1u cao b\u1eb1ng \u0111\u1ed9 d\u00e0i c\u1ea1nh b\u00ean.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5: H\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c \u0111\u1ee9ng ABC.A&#8217;B&#8217;C&#8217; c\u00f3 \u0111\u00e1y ABC v\u00e0 A&#8217;B&#8217;C&#8217; l\u00e0 tam gi\u00e1c vu\u00f4ng c\u00e2n.<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">H\u00ecnh l\u0103ng tr\u1ee5\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">H\u00ecnh l\u0103ng tr\u1ee5 l\u00e0 h\u00ecnh \u0111a di\u1ec7n g\u1ed3m hai \u0111\u00e1y n\u1eb1m tr\u00ean hai m\u1eb7t ph\u1eb3ng v\u00e0 song song v\u1edbi nhau, l\u00e0 hai h\u00ecnh \u0111a gi\u00e1c b\u1eb1ng nhau. Theo \u0111\u00f3, \u0111\u00e1y c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 c\u00f3 th\u1ec3 l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt, h\u00ecnh vu\u00f4ng, h\u00ecnh b\u00ecnh h\u00e0nh, tam gi\u00e1c,&#8230; C\u00e1c m\u1eb7t b\u00ean c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 s\u1ebd l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, c\u00e1c c\u1ea1nh b\u1eb1ng nhau v\u00e0 song song.\u00a0<\/span><\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-308139 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-2.jpg\" alt=\"the-tich-khoi-lang-tru-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Sau khi t\u00ecm hi\u1ec3u \u0111\u1ecbnh ngh\u0129a, c\u00e1c b\u1ea1n c\u1ea7n n\u1eafm \u0111\u01b0\u1ee3c t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ec3 \u00e1p d\u1ee5ng gi\u1ea3i b\u00e0i t\u1eadp linh ho\u1ea1t. T\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 g\u1ed3m:\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Hai \u0111\u00e1y c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 l\u00e0 hai \u0111a gi\u00e1c b\u1eb1ng nhau n\u1eb1m trong hai m\u1eb7t ph\u1eb3ng song song.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">C\u00e1c c\u1ea1nh b\u00ean c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 song song v\u1edbi nhau.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">C\u00e1c m\u1eb7t b\u00ean c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ec1u l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh.\u00a0<\/span><\/li>\n<\/ul>\n<h3><span style=\"font-weight: 400;\">H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Khi t\u00ecm hi\u1ec3u th\u1ec3 t\u00edch kh\u1ed1i l\u0103ng tr\u1ee5 ch\u00ednh l\u00e0 t\u00ednh th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng. \u0110\u1ecbnh ngh\u0129a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 h\u00ecnh c\u00f3 hai c\u1ea1nh \u0111\u00e1y l\u00e0 hai \u0111a gi\u00e1c ph\u1eb3ng, b\u1eb1ng nhau v\u00e0 n\u1eb1m tr\u00ean hai m\u1eb7t ph\u1eb3ng song song. H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng s\u1ebd c\u00f3 c\u00e1c m\u1eb7t b\u00ean l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt, vu\u00f4ng g\u00f3c v\u1edbi nh\u1eefng m\u1eb7t ph\u1eb3ng \u0111\u00e1y l\u00e0 \u0111a gi\u00e1c. Chi\u1ec1u cao c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 \u0111\u1ed9 d\u00e0i c\u1ee7a c\u1ea1nh b\u00ean. D\u1ef1a v\u00e0o h\u00ecnh \u0111a gi\u00e1c \u0111\u00e1y c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng \u0111\u1ec3 g\u1ecdi t\u00ean ch\u1eb3ng h\u1ea1n nh\u01b0 h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng t\u1ee9 gi\u00e1c, h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng tam gi\u00e1c,&#8230;.\u00a0<\/span><\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-308140 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-3.jpg\" alt=\"the-tich-khoi-lang-tru-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">T\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng g\u1ed3m:\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 c\u00e1c c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 c\u00e1c m\u1eb7t b\u00ean l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">M\u1eb7t ph\u1eb3ng ch\u1ee9a \u0111\u00e1y h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng song song v\u1edbi nhau.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0110\u1ed9 d\u00e0i c\u1ea1nh b\u00ean c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng ch\u00ednh l\u00e0 chi\u1ec1u cao.\u00a0<\/span><\/li>\n<\/ul>\n<h3><span style=\"font-weight: 400;\">H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ec1u\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110\u1ecbnh ngh\u0129a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ec1u hay c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00ecnh l\u0103ng tr\u1ee5 vu\u00f4ng v\u1edbi \u0111\u1eb7c \u0111i\u1ec3m \u0111\u00e1y l\u00e0 \u0111a gi\u00e1c \u0111\u1ec1u. Khi h\u1ecdc n\u1ed9i dung th\u1ec3 t\u00edch kh\u1ed1i l\u0103ng tr\u1ee5, ch\u1eafc h\u1eb3n c\u00e1c b\u1ea1n \u0111\u00e3 \u0111\u01b0\u1ee3c nghe kh\u1ed1i l\u0103ng tr\u1ee5 tam gi\u00e1c \u0111\u1ec1u, t\u1ee9 gi\u00e1c \u0111\u1ec1u,&#8230; Do \u0111\u00e1y c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 l\u00e0 \u0111a gi\u00e1c \u0111\u1ec1u n\u00ean s\u1ebd c\u00f3 c\u00e1c c\u1ea1nh \u0111\u00e1y b\u1eb1ng nhau. B\u00ean c\u1ea1nh \u0111\u00f3, c\u1ea1nh b\u00ean c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ec1u l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 s\u1ebd vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t \u0111\u00e1y.\u00a0<\/span><\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-308141 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-4.jpg\" alt=\"the-tich-khoi-lang-tru-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2><span style=\"font-weight: 400;\">C\u00e1c c\u00f4ng th\u1ee9c li\u00ean quan \u0111\u1ebfn h\u00ecnh l\u0103ng tr\u1ee5\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">T\u01b0\u01a1ng t\u1ef1 nh\u01b0 m\u1ed9t s\u1ed1 h\u00ecnh h\u1ecdc kh\u00f4ng gian kh\u00e1c, h\u00ecnh l\u0103ng tr\u1ee5 g\u1ed3m c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n, th\u1ec3 t\u00edch kh\u1ed1i l\u0103ng tr\u1ee5. T\u1eebng c\u00f4ng th\u1ee9c t\u00ednh ch\u00fang t\u00f4i s\u1ebd chia s\u1ebb ngay trong ph\u1ea7n d\u01b0\u1edbi \u0111\u00e2y \u0111\u1ec3 c\u00e1c b\u1ea1n theo d\u00f5i nh\u00e9!\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">T\u00ednh di\u1ec7n t\u00edch xung quanh\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">C\u00e1ch t\u00edch di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng s\u1ebd b\u1eb1ng t\u1ed5ng di\u1ec7n t\u00edch c\u1ee7a c\u00e1c m\u1eb7t b\u00ean ho\u1eb7c c\u00f3 th\u1ec3 l\u1ea5y chu vi \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao.\u00a0<\/span><span style=\"font-weight: 400;\">Sxq = p.h (P l\u00e0 chu vi \u0111\u00e1y v\u00e0 h l\u00e0 chi\u1ec1u cao)\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308142 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-5.jpg\" alt=\"the-tich-khoi-lang-tru-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u00ecn chung c\u00e1ch t\u00ednh di\u1ec7n t\u00edch xung quanh h\u00ecnh l\u0103ng tr\u1ee5 c\u0169ng kh\u00e1 \u0111\u01a1n gi\u1ea3n. Tuy nhi\u00ean \u0111\u1ec3 gi\u00fap c\u00e1c b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n c\u00f4ng th\u1ee9c n\u00e0y, ch\u00fang t\u00f4i s\u1ebd l\u1ea5y v\u00ed d\u1ee5 c\u1ee5 th\u1ec3. Cho h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng tam gi\u00e1c ADCDEF. H\u00e3y t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 tr\u00ean?\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">H\u01b0\u1edbng d\u1eabn gi\u1ea3i: Theo d\u1eef li\u1ec7u \u0111\u1ec1 b\u00e0i cho \u0111\u00e3 bi\u1ebft t\u1eebng c\u1ea1nh c\u1ee7a m\u1eb7t \u0111\u00e1y \u0111\u1ec3 t\u00ednh chu vi v\u00e0 chi\u1ec1u cao. L\u01b0u \u00fd, \u0111\u1ec1 b\u00e0i y\u00eau c\u1ea7u t\u00ednh di\u1ec7n t\u00edch xung quanh, kh\u00f4ng ph\u1ea3i t\u00ednh th\u1ec3 t\u00edch kh\u1ed1i l\u0103ng tr\u1ee5 n\u00ean c\u1ea7n \u00e1p d\u1ee5ng \u0111\u00fang c\u00f4ng th\u1ee9c. Sxq = (3+4+5) x 7 = 84 (cm2) Nh\u01b0 v\u1eady ch\u00fang ta \u0111\u00e3 t\u00ecm \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 ABCDEF l\u00e0 84cm.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh l\u0103ng tr\u1ee5\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng di\u1ec7n t\u00edch xung quanh c\u1ed9ng v\u1edbi di\u1ec7n t\u00edch hai \u0111\u00e1y. Do \u0111\u00f3, \u0111\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n, ch\u00fang ta ph\u1ea3i t\u00ednh di\u1ec7n t\u00edch xung quanh.\u00a0<\/span><span style=\"font-weight: 400;\">Stp = Sxq + S2\u0110\u00e1y<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308143 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-6.jpg\" alt=\"the-tich-khoi-lang-tru-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Ch\u00fang t\u00f4i s\u1ebd ti\u1ebfp t\u1ee5c l\u1ea5y v\u00ed d\u1ee5 trong h\u00ecnh l\u0103ng tr\u1ee5 ABCDEF tr\u00ean, \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ea7n t\u00ednh di\u1ec7n t\u00edch \u0111\u00e1y. \u0110\u00e2y l\u00e0 h\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c n\u00ean di\u1ec7n t\u00edch m\u1eb7t \u0111\u00e1y b\u1eb1ng 1\/2 x 3 x 4 = 6 (cm2). Sau khi bi\u1ebft \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch m\u1eb7t \u0111\u00e1y s\u1ebd t\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Stp = 84 + 2 x 6 = 96 (cm2) =&gt; Nh\u01b0 v\u1eady di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng ABCDEF l\u00e0 96 cm2.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">Th\u1ec3 t\u00edch kh\u1ed1i l\u0103ng tr\u1ee5\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Th\u1ec3 t\u00ednh h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng trong th\u1ef1c ti\u1ec5n. Th\u1ec3 t\u00edch h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng di\u1ec7n t\u00edch \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao.\u00a0<\/span><span style=\"font-weight: 400;\">V = S\u0111\u00e1y x h<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308144 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-7.jpg\" alt=\"the-tich-khoi-lang-tru-7\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-7.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-7-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-7-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5: Cho h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 m\u1eb7t \u0111\u00e1y l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt v\u1edbi chi\u1ec1u r\u1ed9ng l\u00e0 3cm, chi\u1ec1u d\u00e0i l\u00e0 4cm, chi\u1ec1u cao l\u00e0 5,5cm. H\u00e3y t\u00ednh th\u1ec3 t\u00edch c\u1ee7a kh\u1ed1i l\u0103ng tr\u1ee5 v\u1edbi th\u00f4ng s\u1ed1 \u0111\u00e3 cho.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1ch gi\u1ea3i: Theo d\u1eef li\u1ec7u ban \u0111\u1ea7u, x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c \u0111\u00e2y l\u00e0 h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ec1u h\u00ecnh ch\u1eef nh\u1eadt. Tr\u01b0\u1edbc ti\u00ean ta s\u1ebd t\u00ednh di\u1ec7n t\u00edch m\u1eb7t \u0111\u00e1y S\u0111\u00e1y = 3 x 4 = 12 (cm2). Ti\u1ebfp theo, ch\u00fang ta t\u00ednh th\u1ec3 t\u00edch h\u00ecnh l\u0103ng tr\u1ee5 b\u1eb1ng V = 12. 5,5 = 66 (cm2). Nh\u01b0 v\u1eady, ch\u00fang ta \u0111\u00e3 t\u00ednh \u0111\u01b0\u1ee3c th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 c\u1ea7n t\u00ecm l\u00e0 66 cm2.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">M\u1ed9t s\u1ed1 d\u1ea1ng h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1eb7c bi\u1ec7t\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Ngo\u00e0i h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u01b0\u1ee3c k\u1ec3 tr\u00ean, trong h\u00ecnh h\u1ecdc kh\u00f4ng gian c\u00f2n m\u1ed9t s\u1ed1 d\u1ea1ng h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1eb7c bi\u1ec7t nh\u01b0 h\u00ecnh h\u1ed9p \u0111\u1ee9ng, h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt, h\u00ecnh l\u1eadp ph\u01b0\u01a1ng. \u0110\u1ec3 m\u1edf r\u1ed9ng th\u00eam ki\u1ebfn th\u1ee9c v\u1ec1 h\u00ecnh l\u0103ng tr\u1ee5, ch\u00fang t\u00f4i s\u1ebd chia s\u1ebb \u0111\u1ecbnh ngh\u0129a, t\u00ednh ch\u1ea5t c\u1ee7a m\u1ed9t s\u1ed1 h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1eb7c bi\u1ec7t cho c\u00e1c b\u1ea1n tham kh\u1ea3o:\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">H\u00ecnh h\u1ed9p \u0111\u1ee9ng\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">H\u00ecnh h\u1ed9p c\u00f3 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t \u0111\u00e1y \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00ecnh h\u1ed9p \u0111\u1ee9ng. Theo \u0111\u00f3, h\u00ecnh h\u1ed9p \u0111\u1ee9ng s\u1ebd c\u00f3 m\u1eb7t \u0111\u00e1y l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh c\u00f2n nh\u1eefng m\u1eb7t xung quanh s\u1ebd l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt.\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308145 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-8.jpg\" alt=\"the-tich-khoi-lang-tru-8\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-8.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-8-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-8-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h3><span style=\"font-weight: 400;\">H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">H\u00ecnh h\u1ed9p c\u00f3 m\u1eb7t \u0111\u00e1y l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt th\u00ec \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt. Nh\u01b0 v\u1eady, h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt s\u1ebd c\u00f3 t\u1ea5t c\u1ea3 6 m\u1eb7t xung quanh \u0111\u1ec1u l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. B\u00ean c\u1ea1nh \u0111\u00f3, h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1eb7c bi\u1ec7t n\u00e0y s\u1ebd c\u00f3 t\u1ed5ng 12 c\u1ea1nh, 8 \u0111\u1ec9nh, 6 m\u1eb7t. Hai \u0111\u1ec9nh \u0111\u1ed1i nhau c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng ch\u00e9o c\u00f3 hai \u0111\u1ea7u m\u00fat v\u00e0 \u0111\u1ed3ng quy t\u1ea1i m\u1ed9t \u0111i\u1ec3m. Di\u1ec7n t\u00edch, chu vi c\u1ee7a m\u1eb7t \u0111\u1ed1i di\u1ec7n c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh b\u1eb1ng nhau.\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308146 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-9.jpg\" alt=\"the-tich-khoi-lang-tru-9\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-9.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-9-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-9-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h3><span style=\"font-weight: 400;\">H\u00ecnh l\u1eadp ph\u01b0\u01a1ng\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">H\u00ecnh l\u1eadp ph\u01b0\u01a1ng thu\u1ed9c nh\u00f3m h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1eb7c bi\u1ec7t l\u00e0 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt v\u1edbi hai \u0111\u00e1y + b\u1ed1n m\u1eb7t b\u00ean \u0111\u1ec1u l\u00e0 h\u00ecnh vu\u00f4ng. \u0110\u00e2y l\u00e0 m\u1ed9t h\u00ecnh h\u1ecdc \u0111a di\u1ec7n c\u00f3 c\u00e1c m\u1eb7t l\u00e0 h\u00ecnh vu\u00f4ng \u0111\u1ed3ng th\u1eddi m\u1ed7i \u0111\u1ec9nh l\u00e0 \u0111\u1ec9nh chung c\u1ee7a ba m\u1eb7t.\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308147 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-10.jpg\" alt=\"the-tich-khoi-lang-tru-10\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-10.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-10-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-10-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2><span style=\"font-weight: 400;\">M\u1ed9t s\u1ed1 d\u1ea1ng b\u00e0i t\u1eadp v\u1ec1 kh\u1ed1i l\u0103ng tr\u1ee5\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, ch\u00fang t\u00f4i \u0111\u00e3 t\u1ed5ng h\u1ee3p ki\u1ebfn th\u1ee9c l\u00fd thuy\u1ebft, c\u00e1ch t\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n, th\u1ec3 t\u00edch kh\u1ed1i l\u0103ng tr\u1ee5 cho c\u00e1c b\u1ea1n n\u1eafm \u0111\u01b0\u1ee3c. \u0110\u1ec3 gi\u1ea3i \u0111\u01b0\u1ee3c nh\u1eefng b\u00e0i t\u1eadp li\u00ean quan \u0111\u1ebfn h\u00ecnh l\u0103ng tr\u1ee5, c\u00e1c b\u1ea1n c\u1ea7n ch\u0103m ch\u1ec9 luy\u1ec7n t\u1eadp. Sau \u0111\u00e2y, ch\u00fang t\u00f4i s\u1ebd \u0111\u01b0a ra m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp ph\u1ed5 bi\u1ebfn c\u00f9ng c\u00e1ch gi\u1ea3i cho c\u00e1c b\u1ea1n tham kh\u1ea3o:\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 1<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho h\u00ecnh l\u0103ng tr\u1ee5 v\u1edbi k\u00edch th\u01b0\u1edbc nh\u01b0 h\u00ecnh d\u01b0\u1edbi \u0111\u00e2y, l\u01b0u \u00fd \u0111\u00e1y c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 l\u00e0 tam gi\u00e1c vu\u00f4ng. Y\u00eau c\u1ea7u t\u00ednh di\u1ec7n t\u00edch xung quanh, th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 n\u00e0y?\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308148 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-11.jpg\" alt=\"the-tich-khoi-lang-tru-11\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-11.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-11-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-11-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ea7u ti\u00ean, ch\u00fang ta c\u1ea7n t\u00ednh chu vi c\u1ee7a m\u1eb7t \u0111\u00e1y h\u00ecnh l\u0103ng tr\u1ee5. Theo h\u00ecnh v\u1ebd, chu vi tam gi\u00e1c ABC b\u1eb1ng 12cm, chi\u1ec1u cao 6cm. Ti\u1ebfp theo s\u1ebd t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 ABCDEF = 12 x 6 = 72cm2.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ta c\u00f3 di\u1ec7n t\u00edch \u0111\u00e1y h\u00ecnh l\u0103ng tr\u1ee5 b\u1eb1ng 6cm2 =&gt; th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 ABCDEF = S x h = 6 x 6 = 36cm3. Nh\u01b0 v\u1eady, \u0111\u00e3 t\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 b\u1eb1ng 72cm2 v\u00e0 th\u1ec3 t\u00edch b\u1eb1ng 36cm3.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 2\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 \u0111\u00e1y l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt, h\u00e3y t\u00ednh di\u1ec7n t\u00edch xung quang v\u00e0 th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh \u0111\u00f3?\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308149 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-12.jpg\" alt=\"the-tich-khoi-lang-tru-12\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-12.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-12-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-12-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">T\u01b0\u01a1ng t\u1ef1 nh\u01b0 tr\u00ean, \u0111\u1ea7u ti\u00ean ch\u00fang ta c\u1ea7n t\u00ednh chu vi \u0111\u00e1y = 2.( 1+ 3) = 8 v\u00e0 c\u00f3 chi\u1ec1u cao b\u1eb1ng 5cm.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 ch\u1eef nh\u1eadt = C x h = 8 x 5 = 40cm2.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 t\u00ednh th\u1ec3 t\u00edch kh\u1ed1i l\u0103ng tr\u1ee5, tr\u01b0\u1edbc ti\u00ean c\u1ea7n t\u00ednh di\u1ec7n t\u00edch \u0111\u00e1y = 3 x 1 = 3cm2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng = S x h = 3 x 5 = 15cm3.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 3<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">D\u1ef1a v\u00e0o h\u00ecnh l\u0103ng tr\u1ee5 sau \u0111\u00e2y \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh s\u1ed1 c\u1ea1nh.\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308150 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-13.jpg\" alt=\"the-tich-khoi-lang-tru-13\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-13.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-13-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-13-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> 9 c\u1ea1nh\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 8 c\u1ea1nh\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 5 c\u1ea1nh\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 6 c\u1ea1nh\u00a0<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">\u0110\u00e1p \u00e1n: Theo l\u00fd thuy\u1ebft, \u0111\u00e2y l\u00e0 h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng tam gi\u00e1c s\u1ebd c\u00f3 6 \u0111\u1ec9nh, 5 m\u1eb7t v\u00e0 9 c\u1ea1nh =&gt; \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. 9 c\u1ea1nh. \u0110\u00e2y l\u00e0 c\u00e2u h\u1ecfi l\u00fd thuy\u1ebft th\u01b0\u1eddng g\u1eb7p trong b\u00e0i ki\u1ec3m tra n\u00ean c\u00e1c b\u1ea1n c\u1ea7n n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c nh\u00e9!\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 4<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng t\u1ee9 gi\u00e1c d\u01b0\u1edbi \u0111\u00e2y v\u1edbi k\u00edch th\u01b0\u1edbc chi ti\u1ebft. H\u00e3y t\u00ednh th\u1ec3 t\u00edch h\u00ecnh l\u0103ng tr\u1ee5 v\u00e0 ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang?\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308151 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-14.jpg\" alt=\"the-tich-khoi-lang-tru-14\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-14.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-14-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-14-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> V = 80 cm3<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> V = 18 cm3<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> V = 19 cm3<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> V = 90 cm3<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">D\u1ea1ng b\u00e0i tr\u1eafc nghi\u1ec7m th\u1ec3 t\u00edch kh\u1ed1i l\u0103ng tr\u1ee5 c\u0169ng r\u1ea5t th\u01b0\u1eddng g\u1eb7p trong b\u00e0i ki\u1ec3m tra. Theo h\u00ecnh l\u0103ng tr\u1ee5 tr\u00ean, ch\u00fang ta x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c m\u1eb7t \u0111\u00e1y l\u00e0 h\u00ecnh thang b\u1eb1ng nhau =&gt; di\u1ec7n t\u00edch m\u1eb7t \u0111\u00e1y = 12.(4+8).3=18 =&gt; S=12.(4+8).3=18 (cm2)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Sau khi t\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch m\u1ed9t m\u1eb7t \u0111\u00e1y s\u1ebd t\u00ednh \u0111\u01b0\u1ee3c th\u1ec3 t\u00edch h\u00ecnh l\u0103ng tr\u1ee5 V = 18 . 5 = 90 (cm3). Nh\u01b0 v\u1eady, \u0111\u00e1p \u00e1n \u0111\u00fang cho c\u00e2u h\u1ecfi n\u00e0y l\u00e0 D.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 5<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Ti\u1ebfp t\u1ee5c l\u00e0 m\u1ed9t d\u1ea1ng b\u00e0i cho h\u00ecnh l\u0103ng tr\u1ee5, y\u00eau c\u1ea7u t\u00ednh di\u1ec7n t\u00edch xung quanh r\u1ed3i khoanh v\u00e0o \u0111\u00e1p \u00e1n ch\u00ednh x\u00e1c.\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-308153 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-15.jpg\" alt=\"the-tich-khoi-lang-tru-15\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-15.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-15-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/the-tich-khoi-lang-tru-15-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> 7 200 cm2<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 6 900 cm2<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 6 250 cm2<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 7 900 cm2\u00a0<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">X\u00e1c \u0111\u1ecbnh \u0111\u00e2y l\u00e0 h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng tam gi\u00e1c n\u00ean c\u00f3 di\u1ec7n t\u00edch xung quanh = 45 + 20 + 50) . 60 = 6 900 (cm2). Nh\u01b0 v\u1eady, B l\u00e0 \u0111\u00e1p \u00e1n ch\u00ednh x\u00e1c c\u1ee7a b\u00e0i t\u1eadp n\u00e0y.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">T\u1ea1m K\u1ebft\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">B\u00e0i vi\u1ebft tr\u00ean, ch\u00fang t\u00f4i \u0111\u00e3 chia s\u1ebb c\u00e1ch t\u00ednh th\u1ec3 t\u00edch kh\u1ed1i l\u0103ng tr\u1ee5 cho c\u00e1c b\u1ea1n tham kh\u1ea3o. B\u00ean c\u1ea1nh \u0111\u00f3, ch\u00fang t\u00f4i c\u00f2n h\u01b0\u1edbng d\u1eabn gi\u1ea3i m\u1ed9t s\u1ed1 d\u1ea1ng b\u00e0i t\u1eadp th\u01b0\u1eddng g\u1eb7p. Mong r\u1eb1ng c\u00e1c b\u1ea1n s\u1ebd n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c l\u00fd thuy\u1ebft \u0111\u1ed3ng th\u1eddi c\u00f3 \u0111\u1ee7 k\u1ef9 n\u0103ng \u0111\u1ec3 gi\u1ea3i b\u00e0i t\u1eadp li\u00ean quan. H\u00e3y b\u1ea5m theo d\u00f5i fanpage <\/span><b>Ho\u00e0ng H\u00e0 Mobile<\/b> <span style=\"font-weight: 400;\">v\u00e0 k\u00eanh Youtube <\/span><b>Ho\u00e0ng H\u00e0 Channel<\/b><span style=\"font-weight: 400;\"> \u0111\u1ec3 kh\u00f4ng b\u1ecf l\u1ee1 nh\u1eefng th\u00f4ng tin th\u00fa v\u1ecb t\u1eeb ch\u00fang t\u00f4i nh\u00e9!<\/span><\/p>\n<p><strong>XEM TH\u00caM:<\/strong><\/p>\n<ul>\n<li><strong><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><\/strong><\/li>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cach-tinh-dien-tich-tam-giac-deu\/\">T\u00ecm hi\u1ec3u c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tam gi\u00e1c \u0111\u1ec1u, \u0111\u01b0\u1eddng cao tam gi\u00e1c \u0111\u1ec1u<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>H\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c l\u00e0 m\u1ed9t d\u1ea1ng h\u00ecnh h\u1ecdc kh\u00f4ng gian ph\u1ed5 bi\u1ebfn trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 7, g\u1ed3m hai \u0111\u00e1y tam gi\u00e1c b\u1eb1ng nhau song song v\u00e0 ba m\u1eb7t b\u00ean h\u00ecnh ch\u1eef nh\u1eadt. Bi\u1ebft t\u00ednh ch\u1ea5t h\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c v\u00e0 c\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch gi\u00fap h\u1ecdc sinh gi\u1ea3i b\u00e0i [&hellip;]<\/p>\n","protected":false},"author":73,"featured_media":308138,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-307934","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 v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>H\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c: \u0110\u1ecbnh ngh\u0129a, t\u00ednh ch\u1ea5t, c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch v\u00e0 th\u1ec3 t\u00edch<\/title>\n<meta name=\"description\" content=\"H\u00ecnh l\u0103ng tr\u1ee5 tam gi\u00e1c l\u00e0 g\u00ec? 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