{"id":568918,"date":"2026-07-27T09:23:56","date_gmt":"2026-07-27T02:23:56","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=568918"},"modified":"2026-07-27T09:23:56","modified_gmt":"2026-07-27T02:23:56","slug":"hinh-non-cut-la-gi","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-non-cut-la-gi\/","title":{"rendered":"H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c th\u1ec3 t\u00edch, di\u1ec7n t\u00edch v\u00e0 b\u00e0i t\u1eadp"},"content":{"rendered":"<p style=\"text-align: justify;\">H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 h\u00ecnh \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh khi c\u1eaft m\u1ed9t h\u00ecnh n\u00f3n b\u1eb1ng m\u1ed9t m\u1eb7t ph\u1eb3ng song song v\u1edbi \u0111\u00e1y v\u00e0 b\u1ecf \u0111i ph\u1ea7n n\u00f3n nh\u1ecf ph\u00eda tr\u00ean; h\u00ecnh n\u00f3n c\u1ee5t c\u00f3 hai \u0111\u00e1y l\u00e0 hai h\u00ecnh tr\u00f2n kh\u00f4ng b\u1eb1ng nhau v\u00e0 song song v\u1edbi nhau. Th\u1ec3 t\u00edch h\u00ecnh n\u00f3n c\u1ee5t t\u00ednh b\u1eb1ng V = \u2153\u03c0h(R\u00b2 + r\u00b2 + R\u00b7r). \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c To\u00e1n l\u1edbp 9 v\u00e0 l\u1edbp 12. B\u00e0i vi\u1ebft n\u00e0y tr\u00ecnh b\u00e0y <b>h\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec<\/b>, c\u00e1c y\u1ebfu t\u1ed1, c\u00f4ng th\u1ee9c th\u1ec3 t\u00edch, di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u00f9ng nhi\u1ec1u b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft t\u1eebng b\u01b0\u1edbc \u0111\u1ec3 b\u1ea1n d\u1ec5 v\u1eadn d\u1ee5ng.<\/p>\n<h2 style=\"text-align: justify;\"><b>H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec?<\/b><\/h2>\n<p style=\"text-align: justify;\">H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 ph\u1ea7n c\u00f2n l\u1ea1i c\u1ee7a m\u1ed9t h\u00ecnh n\u00f3n sau khi c\u1eaft b\u1ecf ph\u1ea7n ch\u00f3p b\u1eb1ng m\u1ed9t m\u1eb7t ph\u1eb3ng song song v\u1edbi m\u1eb7t \u0111\u00e1y. K\u1ebft qu\u1ea3 l\u00e0 m\u1ed9t h\u00ecnh c\u00f3 hai m\u1eb7t \u0111\u00e1y l\u00e0 hai h\u00ecnh tr\u00f2n song song v\u1edbi b\u00e1n k\u00ednh kh\u00e1c nhau: \u0111\u00e1y l\u1edbn b\u00e1n k\u00ednh R v\u00e0 \u0111\u00e1y nh\u1ecf b\u00e1n k\u00ednh r. Kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111\u00e1y l\u00e0 chi\u1ec1u cao h c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t. Trong th\u1ef1c t\u1ebf, b\u1ea1n c\u00f3 th\u1ec3 h\u00ecnh dung h\u00ecnh n\u00f3n c\u1ee5t qua chi\u1ebfc c\u1ed1c gi\u1ea5y hay c\u00e1i x\u00f4: mi\u1ec7ng r\u1ed9ng h\u01a1n \u0111\u00e1y v\u00e0 th\u00e0nh nghi\u00eang \u0111\u1ec1u.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-570302\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-1.jpg\" alt=\"hinh-non-cut-la-gi-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00e1c y\u1ebfu t\u1ed1 c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t<\/b><\/h2>\n<p style=\"text-align: justify;\">\u0110\u1ec3 m\u00f4 t\u1ea3 \u0111\u1ea7y \u0111\u1ee7 k\u00edch th\u01b0\u1edbc v\u00e0 \u0111\u1eb7c \u0111i\u1ec3m c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t, c\u1ea7n x\u00e1c \u0111\u1ecbnh c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng h\u00ecnh h\u1ecdc quan tr\u1ecdng li\u00ean quan \u0111\u1ebfn hai \u0111\u00e1y v\u00e0 m\u1eb7t xung quanh. C\u00e1c y\u1ebfu t\u1ed1 n\u00e0y gi\u00fap bi\u1ec3u di\u1ec5n ch\u00ednh x\u00e1c h\u00ecnh d\u1ea1ng c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t v\u00e0 l\u00e0 c\u01a1 s\u1edf \u0111\u1ec3 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p t\u00ednh v\u1ec1 di\u1ec7n t\u00edch, th\u1ec3 t\u00edch.<\/p>\n<p style=\"text-align: justify;\">C\u00e1c y\u1ebfu t\u1ed1 c\u01a1 b\u1ea3n c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t g\u1ed3m:<\/p>\n<ul style=\"text-align: justify;\">\n<li>B\u00e1n k\u00ednh \u0111\u00e1y l\u1edbn (R): B\u00e1n k\u00ednh c\u1ee7a h\u00ecnh tr\u00f2n thu\u1ed9c \u0111\u00e1y l\u1edbn (\u0111\u00e1y d\u01b0\u1edbi).<\/li>\n<li>B\u00e1n k\u00ednh \u0111\u00e1y nh\u1ecf (r): B\u00e1n k\u00ednh c\u1ee7a h\u00ecnh tr\u00f2n thu\u1ed9c \u0111\u00e1y nh\u1ecf (\u0111\u00e1y tr\u00ean).<\/li>\n<li>Chi\u1ec1u cao (h): Kho\u1ea3ng c\u00e1ch gi\u1eefa hai m\u1eb7t \u0111\u00e1y c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t.<\/li>\n<li>\u0110\u01b0\u1eddng sinh (l): \u0110o\u1ea1n th\u1eb3ng n\u1ed1i m\u1ed9t \u0111i\u1ec3m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00e1y l\u1edbn v\u1edbi \u0111i\u1ec3m t\u01b0\u01a1ng \u1ee9ng tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00e1y nh\u1ecf.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Ba \u0111\u1ea1i l\u01b0\u1ee3ng R, r, h v\u00e0 l c\u00f3 m\u1ed1i li\u00ean h\u1ec7 v\u1edbi nhau qua \u0111\u1ecbnh l\u00fd Pythagoras: <b>l\u00b2 = h\u00b2 + (R \u2212 r)\u00b2<\/b>. Nh\u1edd c\u00f4ng th\u1ee9c n\u00e0y, khi bi\u1ebft chi\u1ec1u cao v\u00e0 hai b\u00e1n k\u00ednh, b\u1ea1n lu\u00f4n t\u00ednh \u0111\u01b0\u1ee3c \u0111\u01b0\u1eddng sinh v\u00e0 ng\u01b0\u1ee3c l\u1ea1i.<\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec<\/b><\/h2>\n<p style=\"text-align: justify;\">Th\u1ec3 t\u00edch h\u00ecnh n\u00f3n c\u1ee5t \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c: <b>V = \u2153 \u00d7 \u03c0 \u00d7 h \u00d7 (R\u00b2 + r\u00b2 + R \u00d7 r)<\/b><\/p>\n<p style=\"text-align: justify;\">Trong \u0111\u00f3 R l\u00e0 b\u00e1n k\u00ednh \u0111\u00e1y l\u1edbn, r l\u00e0 b\u00e1n k\u00ednh \u0111\u00e1y nh\u1ecf, h l\u00e0 chi\u1ec1u cao, \u03c0 \u2248 3,14. C\u00f4ng th\u1ee9c n\u00e0y suy ra t\u1eeb hi\u1ec7u th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh n\u00f3n l\u1edbn ban \u0111\u1ea7u v\u00e0 h\u00ecnh n\u00f3n nh\u1ecf \u0111\u00e3 b\u1ecb c\u1eaft b\u1ecf, n\u00ean lu\u00f4n cho k\u1ebft qu\u1ea3 d\u01b0\u01a1ng khi R > r.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-570303\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-2.jpg\" alt=\"hinh-non-cut-la-gi-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch xung quanh v\u00e0 to\u00e0n ph\u1ea7n<\/b><\/h2>\n<p style=\"text-align: justify;\">C\u00e1c c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng d\u1ef1a tr\u00ean c\u00e1c y\u1ebfu t\u1ed1 g\u1ed3m b\u00e1n k\u00ednh \u0111\u00e1y l\u1edbn (R), b\u00e1n k\u00ednh \u0111\u00e1y nh\u1ecf (r) v\u00e0 \u0111\u01b0\u1eddng sinh (l). Nh\u1eefng c\u00f4ng th\u1ee9c n\u00e0y gi\u00fap x\u00e1c \u0111\u1ecbnh ph\u1ea7n di\u1ec7n t\u00edch m\u1eb7t xung quanh v\u00e0 to\u00e0n b\u1ed9 b\u1ec1 m\u1eb7t c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t.<\/p>\n<ul style=\"text-align: justify;\">\n<li>Di\u1ec7n t\u00edch xung quanh: Sxq = \u03c0 \u00d7 (R + r) \u00d7 l, v\u1edbi l l\u00e0 \u0111\u01b0\u1eddng sinh.<\/li>\n<li>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n: Stp = Sxq + di\u1ec7n t\u00edch hai \u0111\u00e1y = \u03c0(R + r)l + \u03c0R\u00b2 + \u03c0r\u00b2.<\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\"><b>B\u1ea3ng t\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c h\u00ecnh n\u00f3n c\u1ee5t<\/b><\/h2>\n<p style=\"text-align: justify;\">B\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y t\u00f3m t\u1eaft to\u00e0n b\u1ed9 c\u00f4ng th\u1ee9c quan tr\u1ecdng \u0111\u1ec3 b\u1ea1n tra c\u1ee9u nhanh khi l\u00e0m b\u00e0i:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0110\u1ea1i l\u01b0\u1ee3ng<\/th>\n<th>C\u00f4ng th\u1ee9c<\/th>\n<th>Ghi ch\u00fa<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0110\u01b0\u1eddng sinh (l)<\/td>\n<td>l = \u221a[h\u00b2 + (R \u2212 r)\u00b2]<\/td>\n<td>Suy t\u1eeb \u0111\u1ecbnh l\u00fd Pythagoras<\/td>\n<\/tr>\n<tr>\n<td>Di\u1ec7n t\u00edch xung quanh (Sxq)<\/td>\n<td>Sxq = \u03c0(R + r)l<\/td>\n<td>Kh\u00f4ng t\u00ednh hai \u0111\u00e1y<\/td>\n<\/tr>\n<tr>\n<td>Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n (Stp)<\/td>\n<td>Stp = \u03c0(R + r)l + \u03c0R\u00b2 + \u03c0r\u00b2<\/td>\n<td>G\u1ed3m c\u1ea3 hai \u0111\u00e1y tr\u00f2n<\/td>\n<\/tr>\n<tr>\n<td>Th\u1ec3 t\u00edch (V)<\/td>\n<td>V = \u2153\u03c0h(R\u00b2 + r\u00b2 + Rr)<\/td>\n<td>\u03c0 \u2248 3,14<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\"><b>V\u00ed d\u1ee5 v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i<\/b><\/h2>\n<p style=\"text-align: justify;\"><b>B\u00e0i 1:<\/b> T\u00ednh th\u1ec3 t\u00edch h\u00ecnh n\u00f3n c\u1ee5t c\u00f3 R = 4 cm, r = 2 cm, h = 6 cm.<\/p>\n<p style=\"text-align: justify;\">L\u1eddi gi\u1ea3i: \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c V = \u2153 \u00d7 \u03c0 \u00d7 h \u00d7 (R\u00b2 + r\u00b2 + R \u00d7 r).<\/p>\n<ul style=\"text-align: justify;\">\n<li>B\u01b0\u1edbc 1: T\u00ednh R\u00b2 + r\u00b2 + R \u00d7 r = 16 + 4 + 8 = 28.<\/li>\n<li>B\u01b0\u1edbc 2: Thay s\u1ed1: V = \u2153 \u00d7 3,14 \u00d7 6 \u00d7 28.<\/li>\n<li>B\u01b0\u1edbc 3: T\u00ednh 3,14 \u00d7 6 = 18,84; r\u1ed3i 18,84 \u00d7 28 = 527,52.<\/li>\n<li>B\u01b0\u1edbc 4: V = 527,52 \u00f7 3 \u2248 175,84 cm\u00b3.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><b>B\u00e0i 2:<\/b> T\u00ednh th\u1ec3 t\u00edch h\u00ecnh n\u00f3n c\u1ee5t c\u00f3 R = 5 cm, r = 3 cm, h = 9 cm.<\/p>\n<p style=\"text-align: justify;\">L\u1eddi gi\u1ea3i:<\/p>\n<ul style=\"text-align: justify;\">\n<li>B\u01b0\u1edbc 1: R\u00b2 + r\u00b2 + R \u00d7 r = 25 + 9 + 15 = 49.<\/li>\n<li>B\u01b0\u1edbc 2: V = \u2153 \u00d7 3,14 \u00d7 9 \u00d7 49.<\/li>\n<li>B\u01b0\u1edbc 3: 3,14 \u00d7 9 = 28,26; 28,26 \u00d7 49 = 1384,74.<\/li>\n<li>B\u01b0\u1edbc 4: V = 1384,74 \u00f7 3 \u2248 461,58 cm\u00b3.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><b>B\u00e0i 3:<\/b> T\u00ednh di\u1ec7n t\u00edch xung quanh h\u00ecnh n\u00f3n c\u1ee5t c\u00f3 R = 6 cm, r = 4 cm, \u0111\u01b0\u1eddng sinh l = 5 cm.<\/p>\n<p style=\"text-align: justify;\">L\u1eddi gi\u1ea3i: Sxq = \u03c0 \u00d7 (R + r) \u00d7 l = 3,14 \u00d7 (6 + 4) \u00d7 5 = 3,14 \u00d7 50 = 157 cm\u00b2.<\/p>\n<p style=\"text-align: justify;\"><b>B\u00e0i 4:<\/b> M\u1ed9t h\u00ecnh n\u00f3n c\u1ee5t c\u00f3 R = 8 cm, r = 3 cm, chi\u1ec1u cao h = 12 cm. T\u00ednh \u0111\u01b0\u1eddng sinh l r\u1ed3i t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n.<\/p>\n<p style=\"text-align: justify;\">L\u1eddi gi\u1ea3i:<\/p>\n<ul style=\"text-align: justify;\">\n<li>B\u01b0\u1edbc 1: T\u00ednh \u0111\u01b0\u1eddng sinh l = \u221a[h\u00b2 + (R \u2212 r)\u00b2] = \u221a[12\u00b2 + (8 \u2212 3)\u00b2] = \u221a[144 + 25] = \u221a169 = 13 cm.<\/li>\n<li>B\u01b0\u1edbc 2: Di\u1ec7n t\u00edch xung quanh Sxq = \u03c0(R + r)l = 3,14 \u00d7 (8 + 3) \u00d7 13 = 3,14 \u00d7 143 = 449,02 cm\u00b2.<\/li>\n<li>B\u01b0\u1edbc 3: Di\u1ec7n t\u00edch hai \u0111\u00e1y = \u03c0R\u00b2 + \u03c0r\u00b2 = 3,14 \u00d7 64 + 3,14 \u00d7 9 = 200,96 + 28,26 = 229,22 cm\u00b2.<\/li>\n<li>B\u01b0\u1edbc 4: Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n Stp = 449,02 + 229,22 = 678,24 cm\u00b2.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><b>B\u00e0i 5 (tr\u1eafc nghi\u1ec7m):<\/b> H\u00ecnh n\u00f3n c\u1ee5t c\u00f3 m\u1ea5y m\u1eb7t \u0111\u00e1y? A. 1  B. 2  C. 3  D. 0. \u0110\u00e1p \u00e1n: B.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-570304\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-3.jpg\" alt=\"hinh-non-cut-la-gi-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>Ph\u00e2n bi\u1ec7t h\u00ecnh n\u00f3n c\u1ee5t v\u00e0 h\u00ecnh n\u00f3n<\/b><\/h2>\n<p style=\"text-align: justify;\">Nhi\u1ec1u b\u1ea1n d\u1ec5 nh\u1ea7m gi\u1eefa h\u00ecnh n\u00f3n v\u00e0 h\u00ecnh n\u00f3n c\u1ee5t v\u00ec ch\u00fang c\u00f3 ngu\u1ed3n g\u1ed1c chung. \u0110i\u1ec3m kh\u00e1c bi\u1ec7t n\u1eb1m \u1edf s\u1ed1 m\u1eb7t \u0111\u00e1y v\u00e0 \u0111\u1ec9nh:<\/p>\n<table>\n<thead>\n<tr>\n<th>Ti\u00eau ch\u00ed<\/th>\n<th>H\u00ecnh n\u00f3n<\/th>\n<th>H\u00ecnh n\u00f3n c\u1ee5t<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>S\u1ed1 m\u1eb7t \u0111\u00e1y<\/td>\n<td>1 \u0111\u00e1y tr\u00f2n<\/td>\n<td>2 \u0111\u00e1y tr\u00f2n kh\u00f4ng b\u1eb1ng nhau<\/td>\n<\/tr>\n<tr>\n<td>\u0110\u1ec9nh<\/td>\n<td>C\u00f3 m\u1ed9t \u0111\u1ec9nh nh\u1ecdn<\/td>\n<td>Kh\u00f4ng c\u00f3 \u0111\u1ec9nh (\u0111\u00e3 b\u1ecb c\u1eaft)<\/td>\n<\/tr>\n<tr>\n<td>C\u00f4ng th\u1ee9c th\u1ec3 t\u00edch<\/td>\n<td>V = \u2153\u03c0r\u00b2h<\/td>\n<td>V = \u2153\u03c0h(R\u00b2 + r\u00b2 + Rr)<\/td>\n<\/tr>\n<tr>\n<td>Di\u1ec7n t\u00edch xung quanh<\/td>\n<td>Sxq = \u03c0rl<\/td>\n<td>Sxq = \u03c0(R + r)l<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\"><b>\u1ee8ng d\u1ee5ng th\u1ef1c t\u1ebf c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec<\/b><\/h2>\n<p style=\"text-align: justify;\">H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 d\u1ea1ng h\u00ecnh h\u1ecdc th\u01b0\u1eddng g\u1eb7p trong nhi\u1ec1u \u0111\u1ed3 v\u1eadt v\u00e0 d\u1ee5ng c\u1ee5 quen thu\u1ed9c trong \u0111\u1eddi s\u1ed1ng. M\u1ed9t s\u1ed1 v\u1eadt d\u1ee5ng c\u00f3 h\u00ecnh d\u1ea1ng n\u00e0y nh\u01b0 x\u00f4, ch\u1eadu, c\u1ed1c gi\u1ea5y, chao \u0111\u00e8n, th\u00f9ng ch\u1ee9a, ph\u1ec5u b\u1ecb c\u1eaft,&#8230;<\/p>\n<p style=\"text-align: justify;\">Vi\u1ec7c t\u00ednh th\u1ec3 t\u00edch v\u00e0 di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t c\u00f3 \u00fd ngh\u0129a quan tr\u1ecdng trong th\u1ef1c t\u1ebf, gi\u00fap x\u00e1c \u0111\u1ecbnh dung t\u00edch ch\u1ee9a c\u1ee7a v\u1eadt d\u1ee5ng ho\u1eb7c l\u01b0\u1ee3ng v\u1eadt li\u1ec7u c\u1ea7n thi\u1ebft \u0111\u1ec3 ch\u1ebf t\u1ea1o s\u1ea3n ph\u1ea9m m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c h\u01a1n. Trong k\u1ef9 thu\u1eadt, c\u00e1c chi ti\u1ebft nh\u01b0 ph\u1ec5u r\u00f3t, \u1ed1ng gi\u1ea3m \u0111\u01b0\u1eddng k\u00ednh hay b\u1ed3n ch\u1ee9a c\u0169ng th\u01b0\u1eddng \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf theo d\u1ea1ng h\u00ecnh n\u00f3n c\u1ee5t.<\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 h\u00ecnh n\u00f3n c\u1ee5t<\/b><\/h2>\n<h3 style=\"text-align: justify;\"><b>H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\">H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 ph\u1ea7n c\u00f2n l\u1ea1i c\u1ee7a h\u00ecnh n\u00f3n khi c\u1eaft b\u1ecf ph\u1ea7n ch\u00f3p b\u1eb1ng m\u1eb7t ph\u1eb3ng song song v\u1edbi \u0111\u00e1y, c\u00f3 hai \u0111\u00e1y tr\u00f2n kh\u00f4ng b\u1eb1ng nhau v\u00e0 song song v\u1edbi nhau.<\/p>\n<h3 style=\"text-align: justify;\"><b>C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\">Th\u1ec3 t\u00edch h\u00ecnh n\u00f3n c\u1ee5t \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c V = \u2153\u03c0h(R\u00b2 + r\u00b2 + R\u00b7r), trong \u0111\u00f3 R l\u00e0 b\u00e1n k\u00ednh \u0111\u00e1y l\u1edbn, r l\u00e0 b\u00e1n k\u00ednh \u0111\u00e1y nh\u1ecf v\u00e0 h l\u00e0 chi\u1ec1u cao.<\/p>\n<h3 style=\"text-align: justify;\"><b>Di\u1ec7n t\u00edch xung quanh h\u00ecnh n\u00f3n c\u1ee5t t\u00ednh th\u1ebf n\u00e0o?<\/b><\/h3>\n<p style=\"text-align: justify;\">Di\u1ec7n t\u00edch xung quanh h\u00ecnh n\u00f3n c\u1ee5t t\u00ednh b\u1eb1ng Sxq = \u03c0(R + r)l, v\u1edbi l l\u00e0 \u0111\u01b0\u1eddng sinh n\u1ed1i hai \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00e1y.<\/p>\n<h3 style=\"text-align: justify;\"><b>C\u00e1ch t\u00ednh \u0111\u01b0\u1eddng sinh c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t?<\/b><\/h3>\n<p style=\"text-align: justify;\">\u0110\u01b0\u1eddng sinh \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c l = \u221a[h\u00b2 + (R \u2212 r)\u00b2], suy ra t\u1eeb \u0111\u1ecbnh l\u00fd Pythagoras d\u1ef1a tr\u00ean chi\u1ec1u cao v\u00e0 hi\u1ec7u hai b\u00e1n k\u00ednh.<\/p>\n<h3 style=\"text-align: justify;\"><b>H\u00ecnh n\u00f3n c\u1ee5t c\u00f3 m\u1ea5y \u0111\u00e1y?<\/b><\/h3>\n<p style=\"text-align: justify;\">H\u00ecnh n\u00f3n c\u1ee5t c\u00f3 hai \u0111\u00e1y l\u00e0 hai h\u00ecnh tr\u00f2n song song v\u1edbi nhau v\u00e0 c\u00f3 b\u00e1n k\u00ednh kh\u00e1c nhau.<\/p>\n<h3 style=\"text-align: justify;\"><b>H\u00ecnh n\u00f3n c\u1ee5t th\u01b0\u1eddng g\u1eb7p \u1edf \u0111\u00e2u?<\/b><\/h3>\n<p style=\"text-align: justify;\">H\u00ecnh n\u00f3n c\u1ee5t th\u01b0\u1eddng g\u1eb7p \u1edf x\u00f4, ch\u1eadu, c\u1ed1c gi\u1ea5y, chao \u0111\u00e8n, ph\u1ec5u c\u1eaft v\u00e0 nhi\u1ec1u v\u1eadt d\u1ee5ng quen thu\u1ed9c trong \u0111\u1eddi s\u1ed1ng.<\/p>\n<p><script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 ph\u1ea7n c\u00f2n l\u1ea1i c\u1ee7a h\u00ecnh n\u00f3n khi c\u1eaft b\u1ecf ph\u1ea7n ch\u00f3p b\u1eb1ng m\u1eb7t ph\u1eb3ng song song v\u1edbi \u0111\u00e1y, c\u00f3 hai \u0111\u00e1y tr\u00f2n kh\u00f4ng b\u1eb1ng nhau v\u00e0 song song v\u1edbi nhau.\"}},{\"@type\":\"Question\",\"name\":\"C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Th\u1ec3 t\u00edch h\u00ecnh n\u00f3n c\u1ee5t \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c V = \u2153\u03c0h(R\u00b2 + r\u00b2 + R\u00b7r), trong \u0111\u00f3 R l\u00e0 b\u00e1n k\u00ednh \u0111\u00e1y l\u1edbn, r l\u00e0 b\u00e1n k\u00ednh \u0111\u00e1y nh\u1ecf v\u00e0 h l\u00e0 chi\u1ec1u cao.\"}},{\"@type\":\"Question\",\"name\":\"Di\u1ec7n t\u00edch xung quanh h\u00ecnh n\u00f3n c\u1ee5t t\u00ednh th\u1ebf n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Di\u1ec7n t\u00edch xung quanh h\u00ecnh n\u00f3n c\u1ee5t t\u00ednh b\u1eb1ng Sxq = \u03c0(R + r)l, v\u1edbi l l\u00e0 \u0111\u01b0\u1eddng sinh n\u1ed1i hai \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00e1y.\"}},{\"@type\":\"Question\",\"name\":\"C\u00e1ch t\u00ednh \u0111\u01b0\u1eddng sinh c\u1ee7a h\u00ecnh n\u00f3n c\u1ee5t?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"\u0110\u01b0\u1eddng sinh \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c l = \u221a[h\u00b2 + (R \u2212 r)\u00b2], suy ra t\u1eeb \u0111\u1ecbnh l\u00fd Pythagoras d\u1ef1a tr\u00ean chi\u1ec1u cao v\u00e0 hi\u1ec7u hai b\u00e1n k\u00ednh.\"}},{\"@type\":\"Question\",\"name\":\"H\u00ecnh n\u00f3n c\u1ee5t c\u00f3 m\u1ea5y \u0111\u00e1y?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"H\u00ecnh n\u00f3n c\u1ee5t c\u00f3 hai \u0111\u00e1y l\u00e0 hai h\u00ecnh tr\u00f2n song song v\u1edbi nhau v\u00e0 c\u00f3 b\u00e1n k\u00ednh kh\u00e1c nhau.\"}},{\"@type\":\"Question\",\"name\":\"H\u00ecnh n\u00f3n c\u1ee5t th\u01b0\u1eddng g\u1eb7p \u1edf \u0111\u00e2u?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"H\u00ecnh n\u00f3n c\u1ee5t th\u01b0\u1eddng g\u1eb7p \u1edf x\u00f4, ch\u1eadu, c\u1ed1c gi\u1ea5y, chao \u0111\u00e8n, ph\u1ec5u c\u1eaft v\u00e0 nhi\u1ec1u v\u1eadt d\u1ee5ng quen thu\u1ed9c trong \u0111\u1eddi s\u1ed1ng.\"}}]}<\/script><\/p>\n<h2 style=\"text-align: justify;\"><b>K\u1ebft lu\u1eadn<\/b><\/h2>\n<p style=\"text-align: justify;\"><b>H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec?<\/b> T\u00f3m l\u1ea1i, h\u00ecnh n\u00f3n c\u1ee5t c\u00f3 hai \u0111\u00e1y tr\u00f2n kh\u00f4ng b\u1eb1ng nhau, th\u1ec3 t\u00edch V = \u2153\u03c0h(R\u00b2 + r\u00b2 + R\u00b7r) v\u00e0 di\u1ec7n t\u00edch xung quanh Sxq = \u03c0(R + r)l. N\u1eafm v\u1eefng c\u00f4ng th\u1ee9c v\u00e0 c\u00e1ch t\u00ednh \u0111\u01b0\u1eddng sinh gi\u00fap b\u1ea1n gi\u1ea3i nhanh b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc kh\u00f4ng gian. \u0110\u1ec3 h\u1ecdc th\u00eam, m\u1eddi b\u1ea1n tham kh\u1ea3o c\u00e1c b\u00e0i <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>, <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-quat-tron\/\">di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n<\/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 c\u1ee7a Ho\u00e0ng H\u00e0 Mobile.<\/p>\n<p style=\"text-align: justify;\"><b>Xem th\u00eam:<\/b><\/p>\n<ul>\n<li><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-thang\/\">H\u00ecnh thang l\u00e0 g\u00ec? C\u00e1c lo\u1ea1i, t\u00ednh ch\u1ea5t v\u00e0 c\u00f4ng th\u1ee9c t\u00ednh<\/a><\/li>\n<li><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/duong-tron-la-gi\/\">\u0110\u01b0\u1eddng tr\u00f2n l\u00e0 g\u00ec? Y\u1ebfu t\u1ed1, chu vi, di\u1ec7n t\u00edch v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 h\u00ecnh \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh khi c\u1eaft m\u1ed9t h\u00ecnh n\u00f3n b\u1eb1ng m\u1ed9t m\u1eb7t ph\u1eb3ng song song v\u1edbi \u0111\u00e1y v\u00e0 b\u1ecf \u0111i ph\u1ea7n n\u00f3n nh\u1ecf ph\u00eda tr\u00ean; h\u00ecnh n\u00f3n c\u1ee5t c\u00f3 hai \u0111\u00e1y l\u00e0 hai h\u00ecnh tr\u00f2n kh\u00f4ng b\u1eb1ng nhau v\u00e0 song song v\u1edbi nhau. Th\u1ec3 t\u00edch h\u00ecnh n\u00f3n c\u1ee5t t\u00ednh b\u1eb1ng V [&hellip;]<\/p>\n","protected":false},"author":84,"featured_media":570301,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"h\u00ecnh n\u00f3n c\u1ee5t","_yoast_wpseo_title":"H\u00ecnh n\u00f3n c\u1ee5t: C\u00f4ng th\u1ee9c th\u1ec3 t\u00edch v\u00e0 di\u1ec7n t\u00edch","_yoast_wpseo_metadesc":"H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c th\u1ec3 t\u00edch, di\u1ec7n t\u00edch xung quanh, to\u00e0n ph\u1ea7n v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft. Xem chi ti\u1ebft t\u1ea1i Ho\u00e0ng H\u00e0 Mobile.","footnotes":""},"categories":[29235,3910,30453],"tags":[],"class_list":["post-568918","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>H\u00ecnh n\u00f3n c\u1ee5t: C\u00f4ng th\u1ee9c th\u1ec3 t\u00edch v\u00e0 di\u1ec7n t\u00edch<\/title>\n<meta name=\"description\" content=\"H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c th\u1ec3 t\u00edch, di\u1ec7n t\u00edch xung quanh, to\u00e0n ph\u1ea7n v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft. 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Xem chi ti\u1ebft t\u1ea1i Ho\u00e0ng H\u00e0 Mobile.","og_url":"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-non-cut-la-gi\/","og_site_name":"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile","article_publisher":"https:\/\/www.facebook.com\/hoanghamobilecom","article_author":"https:\/\/www.facebook.com\/hoanghamobilecom","article_published_time":"2026-07-27T02:23:56+00:00","og_image":[{"width":1200,"height":628,"url":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/hinh-non-cut-la-gi.jpg","type":"image\/jpeg"}],"author":"Daisy Daisy","twitter_card":"summary_large_image","twitter_misc":{"\u0110\u01b0\u1ee3c vi\u1ebft b\u1edfi":"Daisy Daisy","\u01af\u1edbc t\u00ednh th\u1eddi gian \u0111\u1ecdc":"6 ph\u00fat"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-non-cut-la-gi\/#article","isPartOf":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-non-cut-la-gi\/"},"author":{"name":"Daisy Daisy","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/fbfb09918671f672a65debf20f905308"},"headline":"H\u00ecnh n\u00f3n c\u1ee5t l\u00e0 g\u00ec? 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