{"id":6346,"date":"2016-01-08T11:19:34","date_gmt":"2016-01-08T10:19:34","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=6346"},"modified":"2016-01-09T00:54:31","modified_gmt":"2016-01-08T23:54:31","slug":"piramide-definizione-formule-e-proprieta","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=6346","title":{"rendered":"Piramide: definizione, formule e propriet\u00e0"},"content":{"rendered":"<p>Il poliedro ottenuto collegando un punto V nello spazio (detto vertice), non complanare ad un poligono di n lati (base)\u00a0\u00e8 detto piramide.<br \/>\nL&#8217;altezza della piramide \u00e8 il segmento che congiunge perpendicolarmente\u00a0il vertice con il piano dove giace la base.<\/p>\n<p>Una piramide\u00a0con base poligonale di\u00a0<i>n<\/i> lati ha:<\/p>\n<ul>\n<li dir=\"ltr\">n+1 vertici<\/li>\n<li dir=\"ltr\">2n spigoli<\/li>\n<li dir=\"ltr\">n+1 facce<\/li>\n<\/ul>\n<p>Una <span style=\"text-decoration: underline;\">piramide si dice retta<\/span> se il poligono di base \u00e8 circoscrittibile a una circonferenza e il &#8220;piede&#8221; dell\u2019altezza coincide con il centro di questa circonferenza.<br \/>\nL<span style=\"text-decoration: underline;\">\u2019apotema<\/span> di una piramide retta \u00e8 l\u2019altezza delle sue facce.<br \/>\nUna <span style=\"text-decoration: underline;\">piramide si dice regolare<\/span> se \u00e8 retta ed il poligono di base \u00e8 un poligono regolare.<br \/>\n<a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/01\/Piramide.jpg\" rel=\"attachment wp-att-6347\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-6347\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/01\/Piramide-1024x710.jpg\" alt=\"Piramide\" width=\"600\" height=\"416\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Piramide-1024x710.jpg 1024w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Piramide-300x208.jpg 300w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Piramide-768x532.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Piramide.jpg 1241w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"text-decoration: underline;\">FORMULE PIRAMIDE RETTA<\/span><\/p>\n<p style=\"text-align: center;\"><strong>S<sub>lat<\/sub> = (2p<sub>base<\/sub> \u00d7\u00a0apotema) \/ 2<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>S<sub>tot<\/sub> = S<sub>lat<\/sub>\u00a0+ A<sub>base<\/sub><\/strong><\/p>\n<p style=\"text-align: center;\"><strong>V = ( A<sub>base<\/sub>\u00a0\u00d7\u00a0h ) \/ 3<\/strong><\/p>\n<p style=\"text-align: center;\">\n","protected":false},"excerpt":{"rendered":"<p>Il poliedro ottenuto collegando un punto V nello spazio (detto vertice), non complanare ad un poligono di n lati (base)\u00a0\u00e8 detto piramide. L&#8217;altezza della piramide \u00e8 il segmento che congiunge perpendicolarmente\u00a0il vertice con il piano dove giace la base. Una piramide\u00a0con base poligonale di\u00a0n lati ha: n+1 vertici 2n spigoli n+1 facce Una piramide si dice retta se il poligono di base \u00e8 circoscrittibile a una circonferenza e il &#8220;piede&#8221;&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":[213,245],"tags":[],"class_list":["post-6346","post","type-post","status-publish","format-standard","hentry","category-geometria-solida","category-piramide"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1Em","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/6346","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=6346"}],"version-history":[{"count":3,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/6346\/revisions"}],"predecessor-version":[{"id":6378,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/6346\/revisions\/6378"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6346"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6346"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6346"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}