Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n
C\u00f3 th\u1ec3 n\u00f3i nh\u01b0 th\u1ebf v\u00ec t\u1eeb bao di\u00eam, h\u1ed9p qu\u00e0, h\u1ed9p s\u1eefa, c\u1ee5c t\u1ea9y, hay vi\u00ean g\u1ea1ch c\u0169ng c\u00f3 h\u00ecnh d\u1ea1ng c\u01a1 b\u1ea3n l\u00e0 lo\u1ea1i kh\u1ed1i h\u00ecnh h\u1ed9p n\u00e0y.V\u00ec s\u1ef1 ph\u1ed5 bi\u1ebfn c\u1ee7a n\u00f3 m\u00e0 ch\u00fang ta c\u1ea7n t\u00ednh \u0111\u01b0\u1ee3c nh\u1eefng \u0111\u1ea1i l\u01b0\u1ee3ng li\u00ean quan t\u1edbi lo\u1ea1i h\u00ecnh kh\u00f4ng gian n\u00e0y : chu vi, c\u00e1c lo\u1ea1i di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt v\u00e0 th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 nh\u1eefng th\u1ee9 v\u1eadn d\u1ee5ng nhi\u1ec1u nh\u1ea5t.<\/p>\n\n\n\n
V\u1edbi b\u00e0i vi\u1ebft n\u00e0y, Vietlearn gi\u00fap c\u00e1c b\u1ea1n nh\u1eafc l\u1ea1i ho\u1eb7c hi\u1ec3u th\u00eam nh\u1eefng ki\u1ebfn th\u1ee9c v\u1ec1 kh\u1ed1i h\u00ecnh \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng nhi\u1ec1u nh\u1ea5t n\u00e0y nh\u00e9!<\/p>\n\n\n\n
Di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n\n\n\n
Kh\u00e1i ni\u1ec7m v\u1ec1 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n\n\n\n
H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt (c\u00f3 t\u00ean ti\u1ebfng Anh l\u00e0 Rectangular Prism) l\u00e0 m\u1ed9t lo\u1ea1i h\u00ecnh trong h\u00ecnh h\u1ecdc kh\u00f4ng gian, g\u1ed3m c\u00f3 s\u00e1u m\u1eb7t \u0111\u1ec1u l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt, c\u00f3 t\u00e1m \u0111\u1ec9nh v\u00e0 m\u01b0\u1eddi hai c\u1ea1nh. L\u1ea5y hai m\u1eb7t \u0111\u1ed1i di\u1ec7n nhau g\u1ecdi l\u00e0 hai m\u1eb7t \u0111\u00e1y, c\u00f2n b\u1ed1n m\u1eb7t c\u00f2n l\u1ea1i xung quanh g\u1ecdi l\u00e0 c\u00e1c m\u1eb7t b\u00ean.<\/p>\n\n\n\n
H\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n\n\n\n
C\u0169ng nh\u01b0 c\u00e1c lo\u1ea1i h\u00ecnh h\u1ecdc kh\u00e1c, kh\u1ed1i h\u00ecnh h\u1ed9p n\u00e0y c\u0169ng c\u00f3 c\u00e1c t\u00ednh ch\u1ea5t ri\u00eang \u0111\u1ec3 c\u00f3 th\u1ec3 nh\u1eadn bi\u1ebft n\u00f3:<\/p>\n\n\n\n
C\u1ea5u tr\u00fac c\u1ee7a m\u1ed9t h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt g\u1ed3m 12 c\u1ea1nh, 8 \u0111\u1ec9nh v\u00e0 6 m\u1eb7t di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt<\/p>\n\n\n\n
C\u00e1c \u0111\u01b0\u1eddng ch\u00e9o l\u1ea5y hai \u0111\u1ea7u m\u00fat l\u00e0 hai \u0111\u1ec9nh thu\u1ed9c hai m\u1eb7t ph\u1eb3ng \u0111\u1ed1i nhau th\u00ec s\u1ebd \u0111\u1ed3ng quy t\u1ea1i m\u1ed9t \u0111i\u1ec3m.<\/p>\n\n\n\n
Di\u1ec7n t\u00edch c\u1ee7a c\u00e1c h\u00ecnh ch\u1eef nh\u1eadt \u0111\u1ed1i di\u1ec7n nhau l\u00e0 b\u1eb1ng nhau<\/p>\n\n\n\n
Chu vi c\u1ee7a hai m\u1eb7t \u0111\u1ed1i di\u1ec7n nhau c\u0169ng b\u1eb1ng nhau.<\/p>\n\n\n\n
C\u00f4ng th\u1ee9c t\u00ednh chu vi h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n\n\n\n
Chu vi \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 \u0111\u01b0\u1eddng bao quanh m\u1ed9t h\u00ecnh ph\u1eb3ng. C\u0169ng nh\u01b0 v\u1eady, c\u00e1c t\u00ednh chu vi h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt l\u00e0 c\u1ed9ng t\u1ed5ng t\u1ea5t c\u1ea3 12 c\u1ea1nh b\u00ean v\u00e0 c\u1ea3 c\u1ea1nh \u0111\u00e1y. Hay c\u00f2n c\u00f3 th\u1ec3 hi\u1ec3u l\u00e0 t\u1ed5ng chi\u1ec1u cao, chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng c\u1ee7a h\u00ecnh h\u1ed9p v\u00e0 nh\u00e2n cho 4 l\u1ea7n.<\/p>\n\n\n\n
C\u00f4ng th\u1ee9c : C = 4 \u00d7 (h+a +b)<\/p>\n\n\n\n
Ch\u00fa th\u00edch cho c\u00f4ng th\u1ee9c tr\u00ean:<\/p>\n\n\n\n
C l\u00e0 k\u00ed hi\u1ec7u chung c\u1ee7a chu vi c\u1ee7a m\u1ed9t h\u00ecnh b\u1ea5t k\u1ef3<\/p>\n\n\n\n
h l\u00e0 chi\u1ec1u cao c\u1ee7a kh\u1ed1i h\u00ecnh h\u1ed9p \u0111\u00f3<\/p>\n\n\n\n
a, b l\u1ea7n l\u01b0\u1ee3t l\u00e0 chi\u1ec1u d\u00e0i v\u00e0 chi\u1ec1u r\u1ed9ng c\u1ee7a m\u1eb7t \u0111\u00e1y h\u00ecnh h\u1ed9p<\/p>\n\n\n\n
C\u00f4ng th\u1ee9c t\u00ednh c\u00e1c lo\u1ea1i di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n\n\n\n
V\u00ec l\u00e0 h\u00ecnh kh\u00f4ng gian n\u00ean di\u1ec7n t\u00edch \u0111\u01b0\u1ee3c chia th\u00e0nh hai lo\u1ea1i l\u00e0 di\u1ec7n t\u00edch xung quanh ch\u1ec9 g\u1ed3m di\u1ec7n t\u00edch c\u00e1c m\u1eb7t b\u00ean v\u00e0 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n bao g\u1ed3m t\u1ea5t c\u1ea3 c\u00e1c m\u1eb7t c\u1ee7a h\u00ecnh kh\u00f4ng gian \u0111\u00f3.<\/p>\n\n\n\n
Di\u1ec7n t\u00edch xung quanh h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n\n\n\n
N\u00f3i t\u1edbi c\u1ee5m t\u1eeb \u201cxung quanh\u201d h\u1eb3n b\u1ea1n \u0111\u00e3 h\u00ecnh dung ra \u0111\u01b0\u1ee3c c\u00f4ng th\u1ee9c c\u1ee7a lo\u1ea1i di\u1ec7n t\u00edch n\u00e0y. Di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt n\u00e0y l\u00e0 ph\u1ea7n 4 di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt \u0111\u01b0\u1ee3c coi l\u00e0 c\u00e1c m\u1eb7t b\u00ean c\u1ee7a kh\u1ed1i h\u00ecnh h\u1ed9p.<\/p>\n\n\n\n
V\u00ec c\u00e1c m\u1eb7t \u0111\u1ed1i di\u1ec7n nhau s\u1ebd c\u00f3 ph\u1ea7n di\u1ec7n t\u00edch b\u1eb1ng nhau n\u00ean c\u00f3 th\u1ec3 t\u00ednh di\u1ec7n t\u00edch xung quanh b\u1eb1ng c\u00e1ch t\u00ednh chu vi \u0111\u00e1y c\u1ee7a kh\u1ed1i h\u00ecnh h\u1ed9p v\u00e0 nh\u00e2n v\u1edbi chi\u1ec1u cao c\u1ee7a n\u00f3.<\/p>\n\n\n\n
Di\u1ec7n t\u00edch xung quanh h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n\n\n\n
C\u00f4ng th\u1ee9c : Sxq = 2h \u00d7 (a + b)<\/p>\n\n\n\n
Ch\u00fa th\u00edch cho c\u00f4ng th\u1ee9c tr\u00ean:<\/p>\n\n\n\n
Sxq l\u00e0 k\u00ed hi\u1ec7u cho ph\u1ea7n di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh h\u1ed9p<\/p>\n\n\n\n
h, a, b l\u1ea7n l\u01b0\u1ee3t l\u00e0 chi\u1ec1u cao, chi\u1ec1u d\u00e0i v\u00e0 chi\u1ec1u r\u1ed9ng c\u1ee7a kh\u1ed1i h\u00ecnh h\u1ed9p<\/p>\n\n\n\n
Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n\n\n\n
C\u0169ng nh\u01b0 v\u1eady v\u1edbi ph\u1ea7n di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n, \u0111\u00e2y l\u00e0 ph\u1ea7n di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt bao quanh n\u00f3. Bao g\u1ed3m t\u1ed5ng t\u1ea5t c\u1ea3 6 m\u1eb7t ch\u1eef nh\u1eadt c\u1ed9ng l\u1ea1i s\u1ebd ra \u0111\u01b0\u1ee3c ph\u1ea7n di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n.<\/p>\n\n\n\n
\u0110\u1ec3 c\u00f3 th\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n, ta s\u1ebd c\u1ed9ng ph\u1ea7n di\u1ec7n t\u00edch xung quanh \u0111\u00e3 t\u00ednh \u1edf tr\u00ean v\u00e0 th\u00eam v\u1edbi ph\u1ea7n di\u1ec7n t\u00edch hai m\u1eb7t \u0111\u00e1y.<\/p>\n\n\n\n
C\u00f4ng th\u1ee9c: Stp = Sxq + 2\u00d7 S\u0111\u00e1y<\/p>\n\n\n\n
Ch\u00fa th\u00edch cho c\u00f4ng th\u1ee9c tr\u00ean:<\/p>\n\n\n\n
Stp l\u00e0 k\u00ed hi\u1ec7u cho ph\u1ea7n di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh h\u1ed9p<\/p>\n\n\n\n
Sxq l\u00e0 k\u00ed hi\u1ec7u cho ph\u1ea7n di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh h\u1ed9p<\/p>\n\n\n\n
S\u0111\u00e1y l\u00e0 k\u00ed hi\u1ec7u c\u1ee7a di\u1ec7n t\u00edch m\u1eb7t \u0111\u00e1y c\u1ee7a h\u00ecnh h\u1ed9p<\/p>\n\n\n\n
C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n\n\n\n
Th\u1ec3 t\u00edch hay dung t\u00edch \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 l\u01b0\u1ee3ng kh\u00f4ng gian m\u00e0 v\u1eadt \u0111\u00f3 chi\u1ebfm. Th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh khi \u0111\u00e3 c\u00f3 \u0111\u1ee7 d\u1eef li\u1ec7u v\u1ec1 c\u00e1c chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 \u0111\u01b0\u1eddng cao c\u1ee7a kh\u1ed1i h\u00ecnh h\u1ed9p \u0111\u00f3.<\/p>\n\n\n\n
\u0110\u1ec3 c\u00f3 th\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c th\u1ec3 t\u00edch kh\u1ed1i h\u1ed9p ch\u1eef nh\u1eadt n\u00f3i chung, ta ch\u1ec9 c\u1ea7n t\u00ednh \u0111\u01b0\u1ee3c di\u1ec7n t\u00edch m\u1ed9t m\u1eb7t ch\u1eef nh\u1eadt v\u00e0 nh\u00e2n t\u1edbi chi\u1ec1u cao t\u01b0\u01a1ng \u1ee9ng c\u1ee7a m\u1eb7t \u0111\u00f3.<\/p>\n\n\n\n
Th\u1ec3 t\u00edch<\/p>\n\n\n\n
C\u00f4ng th\u1ee9c: V= a \u00d7 b\u00d7h<\/p>\n\n\n\n
Ch\u00fa th\u00edch cho c\u00f4ng th\u1ee9c tr\u00ean:<\/p>\n\n\n\n
V l\u00e0 k\u00fd hi\u1ec7u t\u00ednh th\u1ec3 t\u00edch h\u00ecnh ch\u1eef nh\u1eadt kh\u1ed1i h\u1ed9p<\/p>\n\n\n\n
a, b, h l\u1ea7n l\u01b0\u1ee3t l\u00e0 c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng ch\u1ec9 chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao t\u01b0\u01a1ng \u1ee9ng c\u1ee7a kh\u1ed1i h\u00ecnh.<\/p>\n\n\n\n
\u0110\u01b0\u1eddng ch\u00e9o<\/p>\n\n\n\n
M\u1ed9t trong nh\u1eefng \u0111\u1ea1i l\u01b0\u1ee3ng quan tr\u1ecdng trong h\u00ecnh kh\u00f4ng gian ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng ch\u00e9o, m\u1eb7c d\u00f9 v\u1edbi c\u00e1c b\u00e0i to\u00e1n c\u01a1 b\u1ea3n ch\u1ec9 y\u00eau c\u1ea7u t\u00ednh ra gi\u00e1 tr\u1ecb \u0111\u01b0\u1eddng ch\u00e9o, nh\u01b0ng khi n\u00e2ng cao ki\u1ebfn th\u1ee9c l\u00ean, \u0111\u01b0\u1eddng ch\u00e9o s\u1ebd \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng \u0111\u1ec3 cho c\u00e1c b\u00e0i to\u00e1n. Ch\u00ednh v\u00ec v\u1eady, c\u1ea7n ch\u00fa \u00fd t\u1edbi c\u00f4ng th\u1ee9c t\u00ednh c\u1ee7a \u0111\u01b0\u1eddng ch\u00e9o nh\u01b0 sau: D= \u221a(a2 + b2+h2)<\/p>\n\n\n\n
\u0110\u01b0\u1eddng ch\u00e9o h\u00ecnh h\u1ed9p<\/p>\n\n\n\n
Ch\u00fa th\u00edch cho c\u00f4ng th\u1ee9c tr\u00ean:<\/p>\n\n\n\n
D l\u00e0 k\u00ed hi\u1ec7u c\u1ee7a \u0111\u01b0\u1eddng ch\u00e9o<\/p>\n\n\n\n
a, b, h l\u1ea7n l\u01b0\u1ee3t l\u00e0 c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng ch\u1ec9 chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao t\u01b0\u01a1ng \u1ee9ng c\u1ee7a kh\u1ed1i h\u00ecnh.<\/p>\n\n\n\n
V\u1edbi c\u00e1c c\u00f4ng th\u1ee9c tr\u00ean, c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng trong cu\u1ed9c s\u1ed1ng r\u1ea5t nhi\u1ec1u. T\u1eeb x\u00e2y d\u1ef1ng, c\u00e1c c\u00f4ng vi\u1ec7c th\u1ee7 c\u00f4ng hay c\u0169ng c\u00f3 th\u1ec3 gi\u00fap cho c\u00e1c b\u1ea1n h\u1ecdc sinh<\/a> ho\u00e0n th\u00e0nh b\u00e0i t\u1eadp c\u1ee7a m\u00ecnh. Hy v\u1ecdng v\u1edbi b\u00e0i vi\u1ebft tr\u00ean th\u00ec Vietlearn \u0111\u00e3 cung c\u1ea5p cho c\u00e1c b\u1ea1n c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt, th\u1ec3 t\u00edch v\u00e0 c\u1ea3 \u0111\u01b0\u1eddng ch\u00e9o c\u1ee7a n\u00f3. Ch\u00fac c\u00e1c b\u1ea1n th\u00e0nh c\u00f4ng!<\/p>\n\n\n\n <\/p>\n\n\n\n C\u00e1<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":" Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn C\u00f3 th\u1ec3 n\u00f3i nh\u01b0 th\u1ebf v\u00ec t\u1eeb bao di\u00eam, h\u1ed9p qu\u00e0, h\u1ed9p s\u1eefa, c\u1ee5c t\u1ea9y, hay vi\u00ean g\u1ea1ch c\u0169ng c\u00f3 h\u00ecnh d\u1ea1ng c\u01a1 b\u1ea3n l\u00e0 lo\u1ea1i kh\u1ed1i h\u00ecnh h\u1ed9p n\u00e0y.V\u00ec s\u1ef1 ph\u1ed5 bi\u1ebfn c\u1ee7a n\u00f3 m\u00e0 ch\u00fang ta c\u1ea7n t\u00ednh \u0111\u01b0\u1ee3c nh\u1eefng \u0111\u1ea1i l\u01b0\u1ee3ng li\u00ean quan t\u1edbi lo\u1ea1i h\u00ecnh […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[9],"tags":[],"class_list":["post-1113","post","type-post","status-publish","format-standard","hentry","category-toan-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1113","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=1113"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1113\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=1113"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=1113"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=1113"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}