{"id":567227,"date":"2026-07-20T11:27:33","date_gmt":"2026-07-20T04:27:33","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=567227"},"modified":"2026-07-21T15:00:54","modified_gmt":"2026-07-21T08:00:54","slug":"hinh-lang-tru-dung","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-lang-tru-dung\/","title":{"rendered":"H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng: C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch, di\u1ec7n t\u00edch v\u00e0 v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i"},"content":{"rendered":"<p>H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 h\u00ecnh kh\u1ed1i kh\u00f4ng gian c\u00f3 hai \u0111\u00e1y l\u00e0 hai \u0111a gi\u00e1c b\u1eb1ng nhau, n\u1eb1m tr\u00ean hai m\u1eb7t ph\u1eb3ng song song; c\u00e1c m\u1eb7t b\u00ean l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y. 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: V = S<sub>\u0111\u00e1y<\/sub> \u00d7 h. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc kh\u00f4ng gian n\u1ec1n t\u1ea3ng trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 7-8. N\u1ed9i dung d\u01b0\u1edbi \u0111\u00e2y tr\u00ecnh b\u00e0y \u0111\u1ecbnh ngh\u0129a, c\u00e1ch ph\u00e2n lo\u1ea1i, c\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch, di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n, k\u00e8m v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc \u0111\u1ec3 b\u1ea1n \u00e1p d\u1ee5ng ngay v\u00e0o b\u00e0i t\u1eadp.<\/p>\n<h2>H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 g\u00ec?<\/h2>\n<p>H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 m\u1ed9t h\u00ecnh \u0111a di\u1ec7n c\u00f3 hai m\u1eb7t \u0111\u00e1y l\u00e0 hai \u0111a gi\u00e1c b\u1eb1ng nhau v\u00e0 song song v\u1edbi nhau; c\u00e1c m\u1eb7t b\u00ean l\u00e0 c\u00e1c h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y. C\u00e1c c\u1ea1nh b\u00ean c\u1ee7a l\u0103ng tr\u1ee5 \u0111\u1ee9ng song song, b\u1eb1ng nhau v\u00e0 c\u0169ng vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y; \u0111\u1ed9 d\u00e0i c\u1ea1nh b\u00ean ch\u00ednh l\u00e0 chi\u1ec1u cao c\u1ee7a l\u0103ng tr\u1ee5. V\u00ed d\u1ee5 quen thu\u1ed9c v\u1ec1 h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 h\u1ed9p qu\u00e0, vi\u00ean g\u1ea1ch, c\u00e2y b\u00fat ch\u00ec s\u00e1u c\u1ea1nh.<\/p>\n<p>M\u1ed9t h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 \u0111\u1ea7y \u0111\u1ee7 c\u00e1c \u0111\u1eb7c \u0111i\u1ec3m sau:<\/p>\n<ul>\n<li>Hai m\u1eb7t \u0111\u00e1y l\u00e0 hai \u0111a gi\u00e1c b\u1eb1ng nhau, n\u1eb1m tr\u00ean hai m\u1eb7t ph\u1eb3ng song song.<\/li>\n<li>C\u00e1c m\u1eb7t b\u00ean \u0111\u1ec1u l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt.<\/li>\n<li>C\u00e1c c\u1ea1nh b\u00ean song song, b\u1eb1ng nhau v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t \u0111\u00e1y.<\/li>\n<li>Chi\u1ec1u cao c\u1ee7a l\u0103ng tr\u1ee5 b\u1eb1ng \u0111\u00fang \u0111\u1ed9 d\u00e0i c\u1ea1nh b\u00ean.<\/li>\n<\/ul>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-567766 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-1.jpg\" alt=\"hinh-lang-tru-dung-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>Ph\u00e2n lo\u1ea1i h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng<\/h2>\n<p>H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng \u0111\u01b0\u1ee3c g\u1ecdi t\u00ean theo h\u00ecnh d\u1ea1ng \u0111\u00e1y: l\u0103ng tr\u1ee5 \u0111\u1ee9ng tam gi\u00e1c (\u0111\u00e1y l\u00e0 tam gi\u00e1c), l\u0103ng tr\u1ee5 \u0111\u1ee9ng t\u1ee9 gi\u00e1c (\u0111\u00e1y l\u00e0 t\u1ee9 gi\u00e1c), l\u0103ng tr\u1ee5 \u0111\u1ee9ng ng\u0169 gi\u00e1c, l\u1ee5c gi\u00e1c\u2026 M\u1ed9t tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t l\u00e0 l\u0103ng tr\u1ee5 \u0111\u1ec1u \u2013 l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 \u0111\u00e1y l\u00e0 m\u1ed9t \u0111a gi\u00e1c \u0111\u1ec1u.<\/p>\n<p>Ngo\u00e0i ra, <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-hinh-hop-chu-nhat\/\">h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/a> v\u00e0 h\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u0169ng ch\u00ednh l\u00e0 nh\u1eefng tr\u01b0\u1eddng h\u1ee3p ri\u00eang c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 \u0111\u00e1y l\u1ea7n l\u01b0\u1ee3t l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 h\u00ecnh vu\u00f4ng. \u0110i\u1ec3m ph\u00e2n bi\u1ec7t l\u0103ng tr\u1ee5 \u0111\u1ee9ng v\u1edbi l\u0103ng tr\u1ee5 xi\u00ean n\u1eb1m \u1edf g\u00f3c gi\u1eefa c\u1ea1nh b\u00ean v\u00e0 \u0111\u00e1y: l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y n\u00ean m\u1eb7t b\u00ean l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt, c\u00f2n l\u0103ng tr\u1ee5 xi\u00ean c\u00f3 c\u1ea1nh b\u00ean nghi\u00eang n\u00ean m\u1eb7t b\u00ean l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-567767 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-2.jpg\" alt=\"hinh-lang-tru-dung-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng<\/h2>\n<p>Th\u1ec3 t\u00edch h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng b\u1eb1ng di\u1ec7n t\u00edch \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao: V = S<sub>\u0111\u00e1y<\/sub> \u00d7 h. Trong \u0111\u00f3 S<sub>\u0111\u00e1y<\/sub> l\u00e0 di\u1ec7n t\u00edch m\u1ed9t m\u1eb7t \u0111\u00e1y, h l\u00e0 chi\u1ec1u cao (b\u1eb1ng \u0111\u1ed9 d\u00e0i c\u1ea1nh b\u00ean).<\/p>\n<p>V\u00ec \u0111\u00e1y c\u00f3 th\u1ec3 l\u00e0 b\u1ea5t k\u1ef3 \u0111a gi\u00e1c n\u00e0o, b\u1ea1n c\u1ea7n t\u00ednh di\u1ec7n t\u00edch \u0111\u00e1y theo c\u00f4ng th\u1ee9c t\u01b0\u01a1ng \u1ee9ng tr\u01b0\u1edbc khi nh\u00e2n v\u1edbi chi\u1ec1u cao. M\u1ed9t s\u1ed1 c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch \u0111\u00e1y th\u01b0\u1eddng g\u1eb7p:<\/p>\n<ul>\n<li>\u0110\u00e1y tam gi\u00e1c: S = 1\/2 \u00d7 c\u1ea1nh \u0111\u00e1y \u00d7 chi\u1ec1u cao tam gi\u00e1c. <strong>Xem th\u00eam c\u00e1ch t\u00ednh \u0111\u1ea7y \u0111\u1ee7 trong b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-tam-giac\/\" target=\"_blank\" rel=\"noopener\">c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c<\/a>.<\/strong><\/li>\n<li>\u0110\u00e1y h\u00ecnh ch\u1eef nh\u1eadt: S = chi\u1ec1u d\u00e0i \u00d7 chi\u1ec1u r\u1ed9ng.<\/li>\n<li>\u0110\u00e1y h\u00ecnh vu\u00f4ng: S = c\u1ea1nh \u00d7 c\u1ea1nh.<\/li>\n<li>\u0110\u00e1y h\u00ecnh thang: S = 1\/2 \u00d7 (\u0111\u00e1y l\u1edbn + \u0111\u00e1y nh\u1ecf) \u00d7 chi\u1ec1u cao h\u00ecnh thang.<\/li>\n<li>\u0110\u00e1y \u0111a gi\u00e1c \u0111\u1ec1u (ng\u0169 gi\u00e1c, l\u1ee5c gi\u00e1c\u2026): th\u01b0\u1eddng chia nh\u1ecf th\u00e0nh c\u00e1c tam gi\u00e1c b\u1eb1ng nhau r\u1ed3i c\u1ed9ng di\u1ec7n t\u00edch t\u1eebng tam gi\u00e1c l\u1ea1i.<\/li>\n<\/ul>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/chu-vi-hinh-tu-giac\/\" target=\"_blank\" rel=\"noopener\">C\u00f4ng th\u1ee9c t\u00ednh chu vi h\u00ecnh t\u1ee9 gi\u00e1c: L\u00fd thuy\u1ebft, c\u00e1c d\u1ea1ng to\u00e1n v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i<\/a><\/strong><\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-567768 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-3.jpg\" alt=\"hinh-lang-tru-dung-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-3-768x432.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<\/h2>\n<p>Di\u1ec7n t\u00edch xung quanh b\u1eb1ng chu vi \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao; 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. B\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y t\u1ed5ng h\u1ee3p \u0111\u1ea7y \u0111\u1ee7 ba c\u00f4ng th\u1ee9c c\u1ee7a h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng:<\/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<\/td>\n<td>V = S<sub>\u0111\u00e1y<\/sub> \u00d7 h<\/td>\n<\/tr>\n<tr>\n<td>Di\u1ec7n t\u00edch xung quanh<\/td>\n<td>S<sub>xq<\/sub> = C<sub>\u0111\u00e1y<\/sub> \u00d7 h (chu vi \u0111\u00e1y nh\u00e2n chi\u1ec1u cao)<\/td>\n<\/tr>\n<tr>\n<td>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n<\/td>\n<td>S<sub>tp<\/sub> = S<sub>xq<\/sub> + 2 \u00b7 S<sub>\u0111\u00e1y<\/sub><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Trong \u0111\u00f3 C<sub>\u0111\u00e1y<\/sub> l\u00e0 chu vi \u0111\u00e1y, h l\u00e0 chi\u1ec1u cao. N\u1ebfu \u0111\u00e1y l\u00e0 \u0111a gi\u00e1c \u0111\u1ec1u, chu vi \u0111\u00e1y b\u1eb1ng s\u1ed1 c\u1ea1nh nh\u00e2n v\u1edbi \u0111\u1ed9 d\u00e0i m\u1ed9t c\u1ea1nh; n\u1ebfu \u0111\u00e1y l\u00e0 t\u1ee9 gi\u00e1c ho\u1eb7c \u0111a gi\u00e1c b\u1ea5t k\u1ef3, b\u1ea1n c\u1ed9ng tr\u1ef1c ti\u1ebfp \u0111\u1ed9 d\u00e0i c\u00e1c c\u1ea1nh l\u1ea1i v\u1edbi nhau. Di\u1ec7n t\u00edch xung quanh l\u00e0 t\u1ed5ng di\u1ec7n t\u00edch c\u00e1c m\u1eb7t b\u00ean (\u0111\u1ec1u l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt); di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ed9ng th\u00eam di\u1ec7n t\u00edch hai \u0111\u00e1y.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-567769 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-4.jpg\" alt=\"hinh-lang-tru-dung-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>V\u00ed d\u1ee5 t\u00ednh th\u1ec3 t\u00edch, di\u1ec7n t\u00edch l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<p>Ba v\u00ed d\u1ee5 d\u01b0\u1edbi \u0111\u00e2y \u00e1p d\u1ee5ng \u0111\u00fang c\u00e1c c\u00f4ng th\u1ee9c \u1edf tr\u00ean v\u00e0o t\u1eebng d\u1ea1ng \u0111\u00e1y kh\u00e1c nhau, tr\u00ecnh b\u00e0y l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc \u0111\u1ec3 b\u1ea1n \u0111\u1ed1i chi\u1ebfu khi t\u1ef1 l\u00e0m b\u00e0i.<\/p>\n<p><strong>V\u00ed d\u1ee5 1: L\u0103ng tr\u1ee5 \u0111\u1ee9ng \u0111\u00e1y l\u00e0 tam gi\u00e1c vu\u00f4ng<\/strong><br \/>\n\u0110\u1ec1 b\u00e0i: M\u1ed9t l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 \u0111\u00e1y l\u00e0 tam gi\u00e1c vu\u00f4ng v\u1edbi hai c\u1ea1nh g\u00f3c vu\u00f4ng 3cm v\u00e0 4cm, chi\u1ec1u cao l\u0103ng tr\u1ee5 10cm. T\u00ednh th\u1ec3 t\u00edch v\u00e0 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n.<\/p>\n<p>L\u1eddi gi\u1ea3i:<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: C\u1ea1nh huy\u1ec1n c\u1ee7a tam gi\u00e1c \u0111\u00e1y = \u221a(3\u00b2 + 4\u00b2) = \u221a25 = 5cm.<\/li>\n<li>B\u01b0\u1edbc 2: Di\u1ec7n t\u00edch \u0111\u00e1y S = 1\/2 \u00d7 3 \u00d7 4 = 6cm\u00b2.<\/li>\n<li>B\u01b0\u1edbc 3: Chu vi \u0111\u00e1y C = 3 + 4 + 5 = 12cm.<\/li>\n<li>B\u01b0\u1edbc 4: Th\u1ec3 t\u00edch V = S \u00d7 h = 6 \u00d7 10 = 60cm\u00b3.<\/li>\n<li>B\u01b0\u1edbc 5: Di\u1ec7n t\u00edch xung quanh S<sub>xq<\/sub> = C \u00d7 h = 12 \u00d7 10 = 120cm\u00b2.<\/li>\n<li>B\u01b0\u1edbc 6: Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n S<sub>tp<\/sub> = S<sub>xq<\/sub> + 2S = 120 + 2 \u00d7 6 = 132cm\u00b2.<\/li>\n<\/ul>\n<p><strong>V\u00ed d\u1ee5 2: L\u0103ng tr\u1ee5 \u0111\u1ee9ng \u0111\u00e1y l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt (h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt)<\/strong><br \/>\n\u0110\u1ec1 b\u00e0i: H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 \u0111\u00e1y 4cm \u00d7 5cm, chi\u1ec1u cao 8cm. T\u00ednh th\u1ec3 t\u00edch, di\u1ec7n t\u00edch xung quanh v\u00e0 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n.<\/p>\n<p>L\u1eddi gi\u1ea3i:<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: Di\u1ec7n t\u00edch \u0111\u00e1y S = 4 \u00d7 5 = 20cm\u00b2.<\/li>\n<li>B\u01b0\u1edbc 2: Chu vi \u0111\u00e1y C = 2 \u00d7 (4 + 5) = 18cm (xem th\u00eam <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/chu-vi-hinh-chu-nhat\/\" target=\"_blank\" rel=\"noopener\">c\u00f4ng th\u1ee9c t\u00ednh chu vi h\u00ecnh ch\u1eef nh\u1eadt<\/a>).<\/li>\n<li>B\u01b0\u1edbc 3: Th\u1ec3 t\u00edch V = S \u00d7 h = 20 \u00d7 8 = 160cm\u00b3.<\/li>\n<li>B\u01b0\u1edbc 4: Di\u1ec7n t\u00edch xung quanh S<sub>xq<\/sub> = C \u00d7 h = 18 \u00d7 8 = 144cm\u00b2.<\/li>\n<li>B\u01b0\u1edbc 5: Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n S<sub>tp<\/sub> = 144 + 2 \u00d7 20 = 184cm\u00b2.<\/li>\n<\/ul>\n<p><strong>V\u00ed d\u1ee5 3: L\u0103ng tr\u1ee5 \u0111\u1ee9ng \u0111\u00e1y l\u00e0 h\u00ecnh thang<\/strong><br \/>\n\u0110\u1ec1 b\u00e0i: L\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 \u0111\u00e1y l\u00e0 h\u00ecnh thang v\u1edbi \u0111\u00e1y l\u1edbn 8cm, \u0111\u00e1y nh\u1ecf 5cm, chi\u1ec1u cao h\u00ecnh thang 4cm; chi\u1ec1u cao l\u0103ng tr\u1ee5 15cm. T\u00ednh th\u1ec3 t\u00edch.<\/p>\n<p>L\u1eddi gi\u1ea3i:<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: Di\u1ec7n t\u00edch \u0111\u00e1y S = 1\/2 \u00d7 (8 + 5) \u00d7 4 = 26cm\u00b2.<\/li>\n<li>B\u01b0\u1edbc 2: Th\u1ec3 t\u00edch V = S \u00d7 h = 26 \u00d7 15 = 390cm\u00b3.<\/li>\n<\/ul>\n<p><strong>B\u00e0i t\u1eadp t\u1ef1 luy\u1ec7n:<\/strong> L\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u1ee5c gi\u00e1c \u0111\u1ec1u c\u1ea1nh \u0111\u00e1y 6cm c\u00f3 di\u1ec7n t\u00edch \u0111\u00e1y kho\u1ea3ng 93,5cm\u00b2, chi\u1ec1u cao l\u0103ng tr\u1ee5 12cm. Th\u1ec3 t\u00edch l\u0103ng tr\u1ee5 l\u00e0 bao nhi\u00eau? <em>\u0110\u00e1p s\u1ed1: V = S \u00d7 h = 93,5 \u00d7 12 \u2248 1.122cm\u00b3.<\/em><\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-the-tich-khoi-tron-xoay\/\" target=\"_blank\" rel=\"noopener\">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><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-567770 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-5.jpg\" alt=\"hinh-lang-tru-dung-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-lang-tru-dung-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>L\u01b0u \u00fd khi gi\u1ea3i b\u00e0i t\u1eadp l\u0103ng tr\u1ee5 \u0111\u1ee9ng<\/h2>\n<p>M\u1ed9t v\u00e0i l\u1ed7i th\u01b0\u1eddng g\u1eb7p khi\u1ebfn k\u1ebft qu\u1ea3 b\u1ecb sai d\u00f9 nh\u1edb \u0111\u00fang c\u00f4ng th\u1ee9c:<\/p>\n<ul>\n<li>Ch\u01b0a \u0111\u1ed5i c\u00e1c s\u1ed1 \u0111o v\u1ec1 c\u00f9ng m\u1ed9t \u0111\u01a1n v\u1ecb tr\u01b0\u1edbc khi t\u00ednh (v\u00ed d\u1ee5 \u0111\u1ec1 cho c\u1ea3 cm l\u1eabn m).<\/li>\n<li>Nh\u1ea7m chi\u1ec1u cao l\u0103ng tr\u1ee5 v\u1edbi chi\u1ec1u cao c\u1ee7a h\u00ecnh \u0111\u00e1y \u2014 hai \u0111\u1ea1i l\u01b0\u1ee3ng n\u00e0y ch\u1ec9 tr\u00f9ng nhau khi \u0111\u00e1y l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt ho\u1eb7c h\u00ecnh vu\u00f4ng \u0111\u1eb7t \u0111\u00fang chi\u1ec1u.<\/li>\n<li>Qu\u00ean nh\u00e2n \u0111\u00f4i di\u1ec7n t\u00edch \u0111\u00e1y khi t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n (l\u0103ng tr\u1ee5 c\u00f3 2 \u0111\u00e1y, kh\u00f4ng ph\u1ea3i 1).<\/li>\n<li>Nh\u1ea7m \u0111\u01a1n v\u1ecb: th\u1ec3 t\u00edch d\u00f9ng \u0111\u01a1n v\u1ecb kh\u1ed1i (cm\u00b3, m\u00b3, dm\u00b3), di\u1ec7n t\u00edch d\u00f9ng \u0111\u01a1n v\u1ecb vu\u00f4ng (cm\u00b2, m\u00b2).<\/li>\n<li>V\u1edbi \u0111\u00e1y l\u00e0 \u0111a gi\u00e1c kh\u00f4ng \u0111\u1ec1u, n\u00ean chia nh\u1ecf th\u00e0nh c\u00e1c tam gi\u00e1c \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch \u0111\u00e1y cho ch\u00ednh x\u00e1c.<\/li>\n<\/ul>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng<\/h2>\n<h3>H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 g\u00ec?<\/h3>\n<p>L\u00e0 h\u00ecnh kh\u1ed1i c\u00f3 hai \u0111\u00e1y l\u00e0 \u0111a gi\u00e1c b\u1eb1ng nhau song song, c\u00e1c m\u1eb7t b\u00ean l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y.<\/p>\n<h3>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 g\u00ec?<\/h3>\n<p>V = S<sub>\u0111\u00e1y<\/sub> \u00d7 h, t\u1ee9c di\u1ec7n t\u00edch \u0111\u00e1y nh\u00e2n chi\u1ec1u cao.<\/p>\n<h3>Di\u1ec7n t\u00edch xung quanh l\u0103ng tr\u1ee5 \u0111\u1ee9ng t\u00ednh th\u1ebf n\u00e0o?<\/h3>\n<p>B\u1eb1ng chu vi \u0111\u00e1y nh\u00e2n chi\u1ec1u cao: S<sub>xq<\/sub> = C<sub>\u0111\u00e1y<\/sub> \u00d7 h.<\/p>\n<h3>H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 ph\u1ea3i l\u0103ng tr\u1ee5 \u0111\u1ee9ng kh\u00f4ng?<\/h3>\n<p>C\u00f3. H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 \u0111\u00e1y l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt.<\/p>\n<h3>L\u0103ng tr\u1ee5 \u0111\u1ec1u l\u00e0 g\u00ec?<\/h3>\n<p>L\u00e0 l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 \u0111\u00e1y l\u00e0 m\u1ed9t \u0111a gi\u00e1c \u0111\u1ec1u.<\/p>\n<h3>L\u0103ng tr\u1ee5 \u0111\u1ee9ng kh\u00e1c l\u0103ng tr\u1ee5 xi\u00ean \u1edf \u0111i\u1ec3m n\u00e0o?<\/h3>\n<p>L\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 c\u1ea1nh b\u00ean vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y n\u00ean m\u1eb7t b\u00ean l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt; l\u0103ng tr\u1ee5 xi\u00ean c\u00f3 c\u1ea1nh b\u00ean nghi\u00eang n\u00ean m\u1eb7t b\u00ean l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh.<\/p>\n<h3>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 ph\u1ea3i m\u1ed9t d\u1ea1ng l\u0103ng tr\u1ee5 \u0111\u1ee9ng kh\u00f4ng?<\/h3>\n<p>C\u00f3. H\u00ecnh l\u1eadp ph\u01b0\u01a1ng l\u00e0 l\u0103ng tr\u1ee5 \u0111\u1ee9ng \u0111\u1eb7c bi\u1ec7t c\u00f3 \u0111\u00e1y l\u00e0 h\u00ecnh vu\u00f4ng v\u00e0 chi\u1ec1u cao b\u1eb1ng \u0111\u00fang c\u1ea1nh \u0111\u00e1y.<\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>T\u00f3m l\u1ea1i, h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng c\u00f3 hai \u0111\u00e1y l\u00e0 \u0111a gi\u00e1c b\u1eb1ng nhau, c\u00e1c m\u1eb7t b\u00ean l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y. Th\u1ec3 t\u00edch \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng V = S<sub>\u0111\u00e1y<\/sub> \u00d7 h, di\u1ec7n t\u00edch xung quanh b\u1eb1ng chu vi \u0111\u00e1y nh\u00e2n chi\u1ec1u cao, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ed9ng th\u00eam hai l\u1ea7n di\u1ec7n t\u00edch \u0111\u00e1y. Ch\u1ec9 c\u1ea7n x\u00e1c \u0111\u1ecbnh \u0111\u00fang d\u1ea1ng \u0111a gi\u00e1c \u0111\u00e1y r\u1ed3i \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u01b0\u01a1ng \u1ee9ng, b\u1ea1n s\u1ebd gi\u1ea3i nhanh m\u1ecdi b\u00e0i t\u1eadp. M\u1eddi b\u1ea1n tham kh\u1ea3o th\u00eam <strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/the-tich-khoi-cau\/\" target=\"_blank\" rel=\"noopener\">th\u1ec3 t\u00edch h\u00ecnh c\u1ea7u<\/a><\/strong> v\u00e0 <strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-xung-quanh-hinh-tru\/\" target=\"_blank\" rel=\"noopener\">di\u1ec7n t\u00edch xung quanh h\u00ecnh tr\u1ee5<\/a><\/strong> tr\u00ean chuy\u00ean m\u1ee5c tin t\u1ee9c c\u1ee7a Ho\u00e0ng H\u00e0 Mobile.<\/p>\n<p><script type=\"application\/ld+json\">\n{\"@context\": \"https:\/\/schema.org\", \"@type\": \"FAQPage\", \"mainEntity\": [\n{\"@type\": \"Question\", \"name\": \"H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 g\u00ec?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"L\u00e0 h\u00ecnh kh\u1ed1i c\u00f3 hai \u0111\u00e1y l\u00e0 \u0111a gi\u00e1c b\u1eb1ng nhau song song, c\u00e1c m\u1eb7t b\u00ean l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y.\"}},\n{\"@type\": \"Question\", \"name\": \"C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 g\u00ec?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"V = S \u0111\u00e1y \u00d7 h, t\u1ee9c di\u1ec7n t\u00edch \u0111\u00e1y nh\u00e2n chi\u1ec1u cao.\"}},\n{\"@type\": \"Question\", \"name\": \"Di\u1ec7n t\u00edch xung quanh l\u0103ng tr\u1ee5 \u0111\u1ee9ng t\u00ednh th\u1ebf n\u00e0o?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"B\u1eb1ng chu vi \u0111\u00e1y nh\u00e2n chi\u1ec1u cao: S xung quanh = C \u0111\u00e1y \u00d7 h.\"}},\n{\"@type\": \"Question\", \"name\": \"H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 ph\u1ea3i l\u0103ng tr\u1ee5 \u0111\u1ee9ng kh\u00f4ng?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"C\u00f3. 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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: V = [&hellip;]<\/p>\n","protected":false},"author":65,"featured_media":567765,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng","_yoast_wpseo_title":"H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c v\u00e0 v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i","_yoast_wpseo_metadesc":"H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng l\u00e0 g\u00ec, c\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch, di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n k\u00e8m v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft. 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