{"id":6335,"date":"2016-01-08T10:12:45","date_gmt":"2016-01-08T09:12:45","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=6335"},"modified":"2016-01-08T10:15:30","modified_gmt":"2016-01-08T09:15:30","slug":"prisma-definizione-formule-e-proprieta","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=6335","title":{"rendered":"Prisma: definizione, formule e propriet\u00e0"},"content":{"rendered":"<p>Un poliedro le cui basi sono due poligoni congruenti di <i>n<\/i> lati posti su piani paralleli e connessi da una serie di parallelogrammi (dette facce laterali) si chiama PRISMA. Il segmento perpendicolare alle due basi \u00e8 detto\u00a0altezza del prisma. Se la\u00a0base \u00e8 \u00a0un triangolo trattasi di prisma triangolare, se la\u00a0base \u00e8 \u00a0un quadrato si tratta di\u00a0prisma quadrato (o <span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"http:\/\/www.matematicaok.it\/?p=6327\">parallelepipedo<\/a><\/span>),\u00a0 se la\u00a0base \u00e8 \u00a0un\u00a0pentagono abbiamo\u00a0prisma pentagonale; ecc.<\/p>\n<p>Un prisma con base poligonale di\u00a0<i>n<\/i> lati ha:<\/p>\n<ul>\n<li dir=\"ltr\">2n vertici ossia\u00a0n vertici per\u00a0ciascuna delle due basi;<\/li>\n<li dir=\"ltr\">3n spigoli (n lati per le 2\u00a0basi ed n\u00a0spigoli che collegano i loro vertici);<\/li>\n<li dir=\"ltr\">n+2 facce, che sono le due basi e gli n parallelogrammi (uno per ogni lato delle basi).<\/li>\n<\/ul>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/01\/Prisma.jpg\" rel=\"attachment wp-att-6339\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-6339\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/01\/Prisma-1024x792.jpg\" alt=\"Prisma\" width=\"600\" height=\"464\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Prisma-1024x792.jpg 1024w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Prisma-300x232.jpg 300w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Prisma-768x594.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Prisma.jpg 1241w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"text-decoration: underline;\">FORMULE PRINCIPALI<\/span><\/p>\n<p style=\"text-align: center;\"><strong>S<sub>lat<\/sub> = 2p<sub>base<\/sub> \u00d7\u00a0h<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>S<sub>tot<\/sub> = S<sub>lat<\/sub>\u00a0+ 2\u00a0\u00d7 A<sub>base<\/sub><\/strong><\/p>\n<p style=\"text-align: center;\"><strong>V = A<sub>base<\/sub>\u00a0\u00d7\u00a0h<\/strong><\/p>\n<p style=\"text-align: center;\">\n","protected":false},"excerpt":{"rendered":"<p>Un poliedro le cui basi sono due poligoni congruenti di n lati posti su piani paralleli e connessi da una serie di parallelogrammi (dette facce laterali) si chiama PRISMA. Il segmento perpendicolare alle due basi \u00e8 detto\u00a0altezza del prisma. Se la\u00a0base \u00e8 \u00a0un triangolo trattasi di prisma triangolare, se la\u00a0base \u00e8 \u00a0un quadrato si tratta di\u00a0prisma quadrato (o parallelepipedo),\u00a0 se la\u00a0base \u00e8 \u00a0un\u00a0pentagono abbiamo\u00a0prisma pentagonale; ecc. Un prisma con base&hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[213,244],"tags":[],"class_list":["post-6335","post","type-post","status-publish","format-standard","hentry","category-geometria-solida","category-prisma"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1Eb","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/6335","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6335"}],"version-history":[{"count":6,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/6335\/revisions"}],"predecessor-version":[{"id":6344,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/6335\/revisions\/6344"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6335"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6335"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6335"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}