{"id":567148,"date":"2026-07-22T14:41:47","date_gmt":"2026-07-22T07:41:47","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=567148"},"modified":"2026-07-22T14:41:47","modified_gmt":"2026-07-22T07:41:47","slug":"the-tich-hinh-lap-phuong","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-hinh-lap-phuong\/","title":{"rendered":"Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng: c\u00f4ng th\u1ee9c V = a\u00b3 v\u00e0 v\u00ed d\u1ee5"},"content":{"rendered":"<p>Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c V = a\u00b3, trong \u0111\u00f3 a l\u00e0 \u0111\u1ed9 d\u00e0i m\u1ed9t c\u1ea1nh. \u0110\u00e2y l\u00e0 c\u00f4ng th\u1ee9c h\u00ecnh h\u1ecdc kh\u00f4ng gian c\u01a1 b\u1ea3n, xu\u1ea5t hi\u1ec7n xuy\u00ean su\u1ed1t ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n ti\u1ec3u h\u1ecdc, THCS v\u00e0 trong nhi\u1ec1u b\u00e0i to\u00e1n th\u1ef1c t\u1ebf nh\u01b0 t\u00ednh dung t\u00edch th\u00f9ng, b\u1ec3 n\u01b0\u1edbc hay h\u1ed9p qu\u00e0 d\u1ea1ng kh\u1ed1i vu\u00f4ng. Ngo\u00e0i c\u00f4ng th\u1ee9c th\u1ec3 t\u00edch, b\u1ea1n c\u00f2n c\u1ea7n n\u1eafm di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 \u0111\u01b0\u1eddng ch\u00e9o c\u1ee7a h\u00ecnh l\u1eadp ph\u01b0\u01a1ng \u0111\u1ec3 gi\u1ea3i tr\u1ecdn v\u1eb9n m\u1ed9t b\u00e0i to\u00e1n. Ph\u1ea7n t\u1ed5ng h\u1ee3p sau c\u00f3 \u0111\u1ea7y \u0111\u1ee7 c\u00f4ng th\u1ee9c, b\u1ea3ng tra nhanh, v\u00ed d\u1ee5 gi\u1ea3i t\u1eebng b\u01b0\u1edbc v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng \u0111\u1ec3 b\u1ea1n \u00f4n luy\u1ec7n.<\/p>\n<h2>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng l\u00e0 g\u00ec?<\/h2>\n<p>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng l\u00e0 m\u1ed9t kh\u1ed1i h\u00ecnh h\u1ecdc kh\u00f4ng gian c\u00f3 s\u00e1u m\u1eb7t \u0111\u1ec1u l\u00e0 h\u00ecnh vu\u00f4ng b\u1eb1ng nhau, 8 \u0111\u1ec9nh v\u00e0 12 c\u1ea1nh c\u00f3 \u0111\u1ed9 d\u00e0i b\u1eb1ng nhau. \u0110\u00e2y l\u00e0 tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt khi c\u1ea3 ba k\u00edch th\u01b0\u1edbc d\u00e0i, r\u1ed9ng v\u00e0 cao \u0111\u1ec1u b\u1eb1ng nhau. Con x\u00fac x\u1eafc, kh\u1ed1i Rubik hay vi\u00ean g\u1ea1ch vu\u00f4ng l\u00e0 nh\u1eefng v\u1eadt th\u1ec3 quen thu\u1ed9c c\u00f3 d\u1ea1ng h\u00ecnh l\u1eadp ph\u01b0\u01a1ng trong \u0111\u1eddi s\u1ed1ng h\u1eb1ng ng\u00e0y.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-568909 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-1.jpg\" alt=\"the-tich-hinh-lap-phuong-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-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 l\u1eadp ph\u01b0\u01a1ng<\/h2>\n<p>Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u1ea1nh a \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng t\u00edch c\u1ee7a ba c\u1ea1nh b\u1eb1ng nhau:<\/p>\n<p>V = a \u00d7 a \u00d7 a = a\u00b3<\/p>\n<p>Trong \u0111\u00f3 a l\u00e0 \u0111\u1ed9 d\u00e0i m\u1ed9t c\u1ea1nh, \u0111\u01a1n v\u1ecb c\u1ee7a th\u1ec3 t\u00edch l\u00e0 \u0111\u01a1n v\u1ecb d\u00e0i l\u0169y th\u1eeba ba (cm\u00b3, dm\u00b3, m\u00b3&#8230;). Ng\u01b0\u1ee3c l\u1ea1i, n\u1ebfu \u0111\u00e3 bi\u1ebft th\u1ec3 t\u00edch V, b\u1ea1n t\u00ecm c\u1ea1nh a b\u1eb1ng c\u00e1ch l\u1ea5y c\u0103n b\u1eadc ba: a = \u221bV. C\u00f4ng th\u1ee9c n\u00e0y \u00e1p d\u1ee5ng cho m\u1ecdi h\u00ecnh l\u1eadp ph\u01b0\u01a1ng, kh\u00f4ng ph\u1ee5 thu\u1ed9c k\u00edch th\u01b0\u1edbc l\u1edbn hay nh\u1ecf.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-568910 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-2.jpg\" alt=\"the-tich-hinh-lap-phuong-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>Di\u1ec7n t\u00edch xung quanh v\u00e0 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh l\u1eadp ph\u01b0\u01a1ng<\/h2>\n<p>B\u00ean c\u1ea1nh th\u1ec3 t\u00edch, h\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f2n c\u00f3 hai lo\u1ea1i di\u1ec7n t\u00edch th\u01b0\u1eddng g\u1eb7p trong \u0111\u1ec1 b\u00e0i: di\u1ec7n t\u00edch xung quanh v\u00e0 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n.<\/p>\n<ul>\n<li>Di\u1ec7n t\u00edch m\u1ed9t m\u1eb7t: S<sub>1 m\u1eb7t<\/sub> = a\u00b2.<\/li>\n<li>Di\u1ec7n t\u00edch xung quanh (4 m\u1eb7t b\u00ean, kh\u00f4ng t\u00ednh m\u1eb7t \u0111\u00e1y v\u00e0 m\u1eb7t tr\u00ean): S<sub>xq<\/sub> = 4a\u00b2.<\/li>\n<li>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n (to\u00e0n b\u1ed9 6 m\u1eb7t): S<sub>tp<\/sub> = 6a\u00b2.<\/li>\n<\/ul>\n<p>\u0110\u1ec3 d\u1ec5 tra c\u1ee9u, b\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y t\u1ed5ng h\u1ee3p th\u1ec3 t\u00edch v\u00e0 di\u1ec7n t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng v\u1edbi m\u1ed9t s\u1ed1 \u0111\u1ed9 d\u00e0i c\u1ea1nh th\u01b0\u1eddng g\u1eb7p:<\/p>\n<table>\n<thead>\n<tr>\n<th>C\u1ea1nh a (cm)<\/th>\n<th>Th\u1ec3 t\u00edch V = a\u00b3 (cm\u00b3)<\/th>\n<th>S<sub>xq<\/sub> = 4a\u00b2 (cm\u00b2)<\/th>\n<th>S<sub>tp<\/sub> = 6a\u00b2 (cm\u00b2)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1<\/td>\n<td>1<\/td>\n<td>4<\/td>\n<td>6<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>8<\/td>\n<td>16<\/td>\n<td>24<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>27<\/td>\n<td>36<\/td>\n<td>54<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>64<\/td>\n<td>64<\/td>\n<td>96<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>125<\/td>\n<td>100<\/td>\n<td>150<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>216<\/td>\n<td>144<\/td>\n<td>216<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>512<\/td>\n<td>256<\/td>\n<td>384<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>1.000<\/td>\n<td>400<\/td>\n<td>600<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img decoding=\"async\" class=\"size-full wp-image-568911 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-3.jpg\" alt=\"the-tich-hinh-lap-phuong-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>\u0110\u01b0\u1eddng ch\u00e9o h\u00ecnh l\u1eadp ph\u01b0\u01a1ng<\/h2>\n<p>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u1ea1nh a c\u00f3 hai lo\u1ea1i \u0111\u01b0\u1eddng ch\u00e9o c\u1ea7n ph\u00e2n bi\u1ec7t khi l\u00e0m b\u00e0i.<\/p>\n<ul>\n<li>\u0110\u01b0\u1eddng ch\u00e9o m\u1ed9t m\u1eb7t (n\u1ed1i 2 \u0111\u1ec9nh \u0111\u1ed1i nhau tr\u00ean c\u00f9ng m\u1ed9t m\u1eb7t vu\u00f4ng): b\u1eb1ng a\u221a2.<\/li>\n<li>\u0110\u01b0\u1eddng ch\u00e9o kh\u1ed1i (n\u1ed1i 2 \u0111\u1ec9nh \u0111\u1ed1i nhau xuy\u00ean qua t\u00e2m kh\u1ed1i): d = a\u221a3.<\/li>\n<\/ul>\n<p>V\u00ed d\u1ee5, h\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u1ea1nh 2 cm c\u00f3 \u0111\u01b0\u1eddng ch\u00e9o m\u1eb7t 2\u221a2 \u2248 2,83 cm v\u00e0 \u0111\u01b0\u1eddng ch\u00e9o kh\u1ed1i d = 2\u221a3 \u2248 3,46 cm.<\/p>\n<h2>V\u00ed d\u1ee5 t\u00ednh th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc<\/h2>\n<p>Ba v\u00ed d\u1ee5 sau minh h\u1ecda c\u00e1ch \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c V = a\u00b3 theo c\u1ea3 hai chi\u1ec1u: t\u1eeb c\u1ea1nh suy ra th\u1ec3 t\u00edch v\u00e0 ng\u01b0\u1ee3c l\u1ea1i.<\/p>\n<ul>\n<li><strong>V\u00ed d\u1ee5 1:<\/strong> H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u1ea1nh 3 cm. T\u00ednh th\u1ec3 t\u00edch.<br \/><em>B\u01b0\u1edbc 1:<\/em> X\u00e1c \u0111\u1ecbnh a = 3 cm.<br \/><em>B\u01b0\u1edbc 2:<\/em> \u00c1p d\u1ee5ng V = a\u00b3 = 3\u00b3 = 27 cm\u00b3.<\/li>\n<li><strong>V\u00ed d\u1ee5 2:<\/strong> M\u1ed9t kh\u1ed1i l\u1eadp ph\u01b0\u01a1ng c\u00f3 th\u1ec3 t\u00edch 64 cm\u00b3. T\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh.<br \/><em>B\u01b0\u1edbc 1:<\/em> T\u1eeb V = a\u00b3, suy ra a = \u221bV.<br \/><em>B\u01b0\u1edbc 2:<\/em> a = \u221b64 = 4 cm.<\/li>\n<li><strong>V\u00ed d\u1ee5 3:<\/strong> M\u1ed9t kh\u1ed1i l\u1eadp ph\u01b0\u01a1ng c\u00f3 \u0111\u01b0\u1eddng ch\u00e9o d = 6\u221a3 cm. T\u00ednh th\u1ec3 t\u00edch.<br \/><em>B\u01b0\u1edbc 1:<\/em> T\u1eeb d = a\u221a3, suy ra a = d\/\u221a3 = 6\u221a3\/\u221a3 = 6 cm.<br \/><em>B\u01b0\u1edbc 2:<\/em> V = a\u00b3 = 6\u00b3 = 216 cm\u00b3.<\/li>\n<\/ul>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-hinh-hop-chu-nhat\/\">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<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-568912 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-4.jpg\" alt=\"the-tich-hinh-lap-phuong-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<p>B\u1ea1n c\u00f3 th\u1ec3 t\u1ef1 luy\u1ec7n th\u00eam v\u1edbi 6 b\u00e0i t\u1eadp sau, m\u1ed7i b\u00e0i \u0111\u1ec1u c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft \u0111\u1ec3 \u0111\u1ed1i chi\u1ebfu k\u1ebft qu\u1ea3.<\/p>\n<ol>\n<li>T\u00ednh th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u1ea1nh 5 cm.<br \/><em>L\u1eddi gi\u1ea3i:<\/em> V = 5\u00b3 = 125 cm\u00b3.<\/li>\n<li>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n 96 cm\u00b2. T\u00ednh c\u1ea1nh v\u00e0 th\u1ec3 t\u00edch.<br \/><em>L\u1eddi gi\u1ea3i:<\/em> B\u01b0\u1edbc 1: 6a\u00b2 = 96 \u2192 a\u00b2 = 16 \u2192 a = 4 cm. B\u01b0\u1edbc 2: V = 4\u00b3 = 64 cm\u00b3.<\/li>\n<li>M\u1ed9t b\u1ec3 ch\u1ee9a h\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u1ea1nh 1 m. B\u1ec3 ch\u1ee9a \u0111\u01b0\u1ee3c bao nhi\u00eau l\u00edt n\u01b0\u1edbc?<br \/><em>L\u1eddi gi\u1ea3i:<\/em> V = 1\u00b3 = 1 m\u00b3 = 1.000 l\u00edt.<\/li>\n<li>(Tr\u1eafc nghi\u1ec7m) Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u1ea1nh 2 cm l\u00e0 bao nhi\u00eau? A. 6 cm\u00b3  B. 8 cm\u00b3  C. 4 cm\u00b3  D. 12 cm\u00b3.<br \/><em>\u0110\u00e1p \u00e1n:<\/em> B, v\u00ec V = 2\u00b3 = 8 cm\u00b3.<\/li>\n<li>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 th\u1ec3 t\u00edch 27 dm\u00b3. T\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n.<br \/><em>L\u1eddi gi\u1ea3i:<\/em> B\u01b0\u1edbc 1: a = \u221b27 = 3 dm. B\u01b0\u1edbc 2: S<sub>tp<\/sub> = 6 \u00d7 3\u00b2 = 54 dm\u00b2.<\/li>\n<li>M\u1ed9t th\u00f9ng \u0111\u1ef1ng h\u00e0ng d\u1ea1ng l\u1eadp ph\u01b0\u01a1ng c\u00f3 \u0111\u01b0\u1eddng ch\u00e9o kh\u1ed1i d = 3\u221a3 dm. T\u00ednh c\u1ea1nh v\u00e0 th\u1ec3 t\u00edch th\u00f9ng.<br \/><em>L\u1eddi gi\u1ea3i:<\/em> B\u01b0\u1edbc 1: a = d\/\u221a3 = 3\u221a3\/\u221a3 = 3 dm. B\u01b0\u1edbc 2: V = 3\u00b3 = 27 dm\u00b3 = 27 l\u00edt.<\/li>\n<\/ol>\n<h2>C\u00e1c b\u01b0\u1edbc gi\u1ea3i b\u00e0i to\u00e1n th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng<\/h2>\n<p>V\u1edbi b\u1ea5t k\u1ef3 b\u00e0i to\u00e1n n\u00e0o v\u1ec1 th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng, b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng quy tr\u00ecnh 3 b\u01b0\u1edbc sau.<\/p>\n<ol>\n<li>X\u00e1c \u0111\u1ecbnh \u0111\u1ed9 d\u00e0i c\u1ea1nh a, \u0111\u01b0a c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng \u0111\u00e3 cho v\u1ec1 c\u00f9ng m\u1ed9t \u0111\u01a1n v\u1ecb \u0111o.<\/li>\n<li>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c ph\u00f9 h\u1ee3p v\u1edbi d\u1eef ki\u1ec7n \u0111\u1ec1 b\u00e0i: V = a\u00b3 n\u1ebfu \u0111\u00e3 bi\u1ebft c\u1ea1nh; a = \u221bV n\u1ebfu bi\u1ebft th\u1ec3 t\u00edch; n\u1ebfu bi\u1ebft di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n th\u00ec t\u00ednh a\u00b2 = S<sub>tp<\/sub>\/6 r\u1ed3i suy ra a; n\u1ebfu bi\u1ebft \u0111\u01b0\u1eddng ch\u00e9o kh\u1ed1i th\u00ec t\u00ednh a = d\/\u221a3.<\/li>\n<li>Ghi k\u1ebft qu\u1ea3 k\u00e8m \u0111\u01a1n v\u1ecb th\u1ec3 t\u00edch, \u0111\u1ed1i chi\u1ebfu l\u1ea1i \u0111\u1ec1 b\u00e0i \u0111\u1ec3 ch\u1eafc ch\u1eafn kh\u00f4ng nh\u1ea7m \u0111\u01a1n v\u1ecb.<\/li>\n<\/ol>\n<p>V\u1edbi c\u00e1c b\u00e0i to\u00e1n v\u1ec1 dung t\u00edch ch\u1ee9a n\u01b0\u1edbc, c\u1ea7n nh\u1edb 1 dm\u00b3 = 1 l\u00edt v\u00e0 1 m\u00b3 = 1.000 l\u00edt.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-568913 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-5.jpg\" alt=\"the-tich-hinh-lap-phuong-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>Ph\u00e2n bi\u1ec7t h\u00ecnh l\u1eadp ph\u01b0\u01a1ng v\u00e0 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/h2>\n<p>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng th\u1ef1c ch\u1ea5t l\u00e0 m\u1ed9t h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u1eb7c bi\u1ec7t, n\u00ean hai kh\u1ed1i n\u00e0y d\u1ec5 b\u1ecb nh\u1ea7m l\u1eabn n\u1ebfu kh\u00f4ng \u0111\u1ec3 \u00fd k\u1ef9 k\u00edch th\u01b0\u1edbc. H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 ba k\u00edch th\u01b0\u1edbc d\u00e0i, r\u1ed9ng, cao b\u1eb1ng nhau v\u00e0 c\u1ea3 s\u00e1u m\u1eb7t \u0111\u1ec1u l\u00e0 h\u00ecnh vu\u00f4ng. Trong khi \u0111\u00f3, h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt th\u01b0\u1eddng c\u00f3 ba k\u00edch th\u01b0\u1edbc kh\u00e1c nhau v\u00e0 c\u00e1c m\u1eb7t l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. V\u00ec v\u1eady, m\u1ecdi h\u00ecnh l\u1eadp ph\u01b0\u01a1ng \u0111\u1ec1u l\u00e0 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt, nh\u01b0ng kh\u00f4ng ph\u1ea3i h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt n\u00e0o c\u0169ng l\u00e0 h\u00ecnh l\u1eadp ph\u01b0\u01a1ng.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-tron\/\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-568914 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-6.jpg\" alt=\"the-tich-hinh-lap-phuong-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/the-tich-hinh-lap-phuong-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng<\/h2>\n<h3>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng l\u00e0 g\u00ec?<\/h3>\n<p>V = a\u00b3, t\u1ee9c b\u1eb1ng l\u1eadp ph\u01b0\u01a1ng \u0111\u1ed9 d\u00e0i m\u1ed9t c\u1ea1nh.<\/p>\n<h3>C\u00e1ch t\u00ecm c\u1ea1nh khi bi\u1ebft th\u1ec3 t\u00edch?<\/h3>\n<p>L\u1ea5y c\u0103n b\u1eadc ba c\u1ee7a th\u1ec3 t\u00edch: a = \u221bV.<\/p>\n<h3>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh l\u1eadp ph\u01b0\u01a1ng t\u00ednh th\u1ebf n\u00e0o?<\/h3>\n<p>S<sub>tp<\/sub> = 6a\u00b2, b\u1eb1ng s\u00e1u l\u1ea7n di\u1ec7n t\u00edch m\u1ed9t m\u1eb7t.<\/p>\n<h3>Di\u1ec7n t\u00edch xung quanh h\u00ecnh l\u1eadp ph\u01b0\u01a1ng t\u00ednh ra sao?<\/h3>\n<p>S<sub>xq<\/sub> = 4a\u00b2, t\u00ednh b\u1eb1ng di\u1ec7n t\u00edch 4 m\u1eb7t b\u00ean, kh\u00f4ng g\u1ed3m m\u1eb7t \u0111\u00e1y v\u00e0 m\u1eb7t tr\u00ean.<\/p>\n<h3>\u0110\u01b0\u1eddng ch\u00e9o kh\u1ed1i l\u1eadp ph\u01b0\u01a1ng b\u1eb1ng bao nhi\u00eau?<\/h3>\n<p>d = a\u221a3, v\u1edbi a l\u00e0 \u0111\u1ed9 d\u00e0i c\u1ea1nh.<\/p>\n<h3>\u0110\u01b0\u1eddng ch\u00e9o c\u1ee7a m\u1ed9t m\u1eb7t h\u00ecnh l\u1eadp ph\u01b0\u01a1ng t\u00ednh th\u1ebf n\u00e0o?<\/h3>\n<p>B\u1eb1ng a\u221a2, kh\u00e1c v\u1edbi \u0111\u01b0\u1eddng ch\u00e9o kh\u1ed1i l\u00e0 a\u221a3.<\/p>\n<h3>1 m\u00e9t kh\u1ed1i b\u1eb1ng bao nhi\u00eau l\u00edt?<\/h3>\n<p>1 m\u00b3 = 1.000 l\u00edt, th\u01b0\u1eddng d\u00f9ng khi t\u00ednh dung t\u00edch b\u1ec3 n\u01b0\u1edbc h\u00ecnh l\u1eadp ph\u01b0\u01a1ng.<\/p>\n<h3>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng kh\u00e1c h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u1edf \u0111i\u1ec3m n\u00e0o?<\/h3>\n<p>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 ba k\u00edch th\u01b0\u1edbc b\u1eb1ng nhau v\u00e0 s\u00e1u m\u1eb7t l\u00e0 h\u00ecnh vu\u00f4ng, c\u00f2n h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt th\u01b0\u1eddng c\u00f3 ba k\u00edch th\u01b0\u1edbc kh\u00e1c nhau.<\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>T\u00f3m l\u1ea1i, th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c V = a\u00b3, \u0111i k\u00e8m di\u1ec7n t\u00edch xung quanh S<sub>xq<\/sub> = 4a\u00b2, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n S<sub>tp<\/sub> = 6a\u00b2 v\u00e0 \u0111\u01b0\u1eddng ch\u00e9o kh\u1ed1i d = a\u221a3. N\u1eafm ch\u1eafc c\u00e1c c\u00f4ng th\u1ee9c n\u00e0y c\u00f9ng quy tr\u00ecnh 3 b\u01b0\u1edbc \u1edf tr\u00ean s\u1ebd gi\u00fap b\u1ea1n gi\u1ea3i nhanh v\u00e0 ch\u00ednh x\u00e1c m\u1ecdi d\u1ea1ng b\u00e0i v\u1ec1 h\u00ecnh l\u1eadp ph\u01b0\u01a1ng. N\u1ebfu c\u1ea7n \u00f4n th\u00eam c\u00e1c d\u1ea1ng h\u00ecnh h\u1ecdc v\u00e0 \u0111\u1ed5i \u0111\u01a1n v\u1ecb li\u00ean quan, b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o th\u00eam b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/1-lit-bang-bao-nhieu-ml\/\">1 l\u00edt b\u1eb1ng bao nhi\u00eau ml<\/a> v\u00e0 <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-tam-giac\/\">c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c<\/a> tr\u00ean chuy\u00ean m\u1ee5c tin t\u1ee9c Ho\u00e0ng H\u00e0 Mobile.<br \/>\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [\n    {\"@type\": \"Question\", \"name\": \"C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng l\u00e0 g\u00ec?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"V = a\u00b3, t\u1ee9c b\u1eb1ng l\u1eadp ph\u01b0\u01a1ng \u0111\u1ed9 d\u00e0i m\u1ed9t c\u1ea1nh.\"}},\n    {\"@type\": \"Question\", \"name\": \"C\u00e1ch t\u00ecm c\u1ea1nh khi bi\u1ebft th\u1ec3 t\u00edch?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"L\u1ea5y c\u0103n b\u1eadc ba c\u1ee7a th\u1ec3 t\u00edch: a = \u221bV.\"}},\n    {\"@type\": \"Question\", \"name\": \"Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh l\u1eadp ph\u01b0\u01a1ng t\u00ednh th\u1ebf n\u00e0o?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Stp = 6a\u00b2, b\u1eb1ng s\u00e1u l\u1ea7n di\u1ec7n t\u00edch m\u1ed9t m\u1eb7t.\"}},\n    {\"@type\": \"Question\", \"name\": \"Di\u1ec7n t\u00edch xung quanh h\u00ecnh l\u1eadp ph\u01b0\u01a1ng t\u00ednh ra sao?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Sxq = 4a\u00b2, t\u00ednh b\u1eb1ng di\u1ec7n t\u00edch 4 m\u1eb7t b\u00ean, kh\u00f4ng g\u1ed3m m\u1eb7t \u0111\u00e1y v\u00e0 m\u1eb7t tr\u00ean.\"}},\n    {\"@type\": \"Question\", \"name\": \"\u0110\u01b0\u1eddng ch\u00e9o kh\u1ed1i l\u1eadp ph\u01b0\u01a1ng b\u1eb1ng bao nhi\u00eau?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"d = a\u221a3, v\u1edbi a l\u00e0 \u0111\u1ed9 d\u00e0i c\u1ea1nh.\"}},\n    {\"@type\": \"Question\", \"name\": \"\u0110\u01b0\u1eddng ch\u00e9o c\u1ee7a m\u1ed9t m\u1eb7t h\u00ecnh l\u1eadp ph\u01b0\u01a1ng t\u00ednh th\u1ebf n\u00e0o?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"B\u1eb1ng a\u221a2, kh\u00e1c v\u1edbi \u0111\u01b0\u1eddng ch\u00e9o kh\u1ed1i l\u00e0 a\u221a3.\"}},\n    {\"@type\": \"Question\", \"name\": \"1 m\u00e9t kh\u1ed1i b\u1eb1ng bao nhi\u00eau l\u00edt?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"1 m\u00b3 = 1.000 l\u00edt, th\u01b0\u1eddng d\u00f9ng khi t\u00ednh dung t\u00edch b\u1ec3 n\u01b0\u1edbc h\u00ecnh l\u1eadp ph\u01b0\u01a1ng.\"}},\n    {\"@type\": \"Question\", \"name\": \"H\u00ecnh l\u1eadp ph\u01b0\u01a1ng kh\u00e1c h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u1edf \u0111i\u1ec3m n\u00e0o?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 ba k\u00edch th\u01b0\u1edbc b\u1eb1ng nhau v\u00e0 s\u00e1u m\u1eb7t l\u00e0 h\u00ecnh vu\u00f4ng, c\u00f2n h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt th\u01b0\u1eddng c\u00f3 ba k\u00edch th\u01b0\u1edbc kh\u00e1c nhau.\"}}\n  ]\n}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c V = a\u00b3, trong \u0111\u00f3 a l\u00e0 \u0111\u1ed9 d\u00e0i m\u1ed9t c\u1ea1nh. \u0110\u00e2y l\u00e0 c\u00f4ng th\u1ee9c h\u00ecnh h\u1ecdc kh\u00f4ng gian c\u01a1 b\u1ea3n, xu\u1ea5t hi\u1ec7n xuy\u00ean su\u1ed1t ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n ti\u1ec3u h\u1ecdc, THCS v\u00e0 trong nhi\u1ec1u b\u00e0i to\u00e1n th\u1ef1c t\u1ebf nh\u01b0 t\u00ednh dung t\u00edch th\u00f9ng, b\u1ec3 n\u01b0\u1edbc [&hellip;]<\/p>\n","protected":false},"author":65,"featured_media":568908,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng","_yoast_wpseo_title":"Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng: c\u00f4ng th\u1ee9c V = a\u00b3 v\u00e0 v\u00ed d\u1ee5","_yoast_wpseo_metadesc":"Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng t\u00ednh theo c\u00f4ng th\u1ee9c V = a\u00b3. Xem c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch, \u0111\u01b0\u1eddng ch\u00e9o, v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng chi ti\u1ebft, d\u1ec5 hi\u1ec3u.","footnotes":""},"categories":[16],"tags":[],"class_list":["post-567148","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-thu-thuat"],"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 l\u1eadp ph\u01b0\u01a1ng: c\u00f4ng th\u1ee9c V = a\u00b3 v\u00e0 v\u00ed d\u1ee5<\/title>\n<meta name=\"description\" content=\"Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng t\u00ednh theo c\u00f4ng th\u1ee9c V = a\u00b3. Xem c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch, \u0111\u01b0\u1eddng ch\u00e9o, v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng chi ti\u1ebft, d\u1ec5 hi\u1ec3u.\" \/>\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\/the-tich-hinh-lap-phuong\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng: c\u00f4ng th\u1ee9c V = a\u00b3 v\u00e0 v\u00ed d\u1ee5\" \/>\n<meta property=\"og:description\" content=\"Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng t\u00ednh theo c\u00f4ng th\u1ee9c V = a\u00b3. 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