{"id":3203,"date":"2011-10-07T11:17:26","date_gmt":"2011-10-07T08:17:26","guid":{"rendered":"http:\/\/www.islamidavet.com\/kutuphane\/\/?p=3203"},"modified":"2011-10-07T11:17:26","modified_gmt":"2011-10-07T08:17:26","slug":"dik-prizmalarin-alan-ve-hacimleri","status":"publish","type":"post","link":"https:\/\/www.islamidavet.com\/kutuphane\/dik-prizmalarin-alan-ve-hacimleri\/","title":{"rendered":"Dik prizmalar\u0131n alan ve hacimleri"},"content":{"rendered":"<p>Alt ve \u00fcst tabanlar\u0131 paralel e\u015f \u015fekillerden olu\u015fan cisimlere prizma denir. Yan y\u00fczeyleri taban d\u00fczlemine dik olan prizmalara dik prizma ad\u0131 verilir. Prizmalarda yan y\u00fczeyleri birle\u015ftiren ayr\u0131tlara yanal ayr\u0131t denir. [AA&#8217;], [BB&#8217;], [CC&#8217;], [DD&#8217;] yanal ayr\u0131tlard\u0131r. Dik prizmalarda yanal ayr\u0131t cismin y\u00fcksekli\u011fine e\u015fittir. Cismin y\u00fcksekli\u011fine h dersek h = |AA&#8217;| = |BB&#8217;| = |CC&#8217;| = |DD&#8217;| olur. Prizman\u0131n Hacmi Hacim=Taban Alan\u0131 x Y\u00fckseklik Dik prizman\u0131n taban bi\u00e7imi nas\u0131l olursa olsun, yanal y\u00fczeyi daima bir dikd\u00f6rtgen olur. Yanal y\u00fcz\u00fc olu\u015fturan dikd\u00f6rtgenin alt kenar\u0131 taban\u0131n \u00e7evresi kadard\u0131r. Di\u011fer kenar\u0131 ise h y\u00fcksekli\u011fi kadar olur. Yanal Alan = Taban \u00e7evresi x Y\u00fckseklik B\u00fct\u00fcn dik prizmalar\u0131n yanal alan\u0131 taban \u00e7evresi ile y\u00fcksekli\u011fin \u00e7arp\u0131m\u0131d\u0131r. B\u00fct\u00fcn Alan ise yanal alan ile iki taban alan\u0131n\u0131n toplam\u0131d\u0131r. T\u00fcm Alan = Yanal Alan + 2. Taban Alan\u0131 1. Dikd\u00f6rtgenler Prizmas\u0131 Dikd\u00f6rtgenler prizmas\u0131 yan y\u00fczeyleri kar\u015f\u0131l\u0131kl\u0131 iki\u015fer iki\u015fer e\u015f olan alt\u0131 adet dikd\u00f6rtgenden olu\u015fan prizmad\u0131r. Burada hacim, taban alan\u0131 olan (a.b) ile y\u00fckseklik olan (c) nin \u00e7arp\u0131m\u0131d\u0131r. Alan ise (a.b), (b.c) ve (a.c) y\u00fczey alanlar\u0131n\u0131n iki\u015fer katlar\u0131n\u0131n toplam\u0131d\u0131r. Dikd\u00f6rtgenler prizmas\u0131nda birbirine en uzak iki k\u00f6\u015feyi birle\u015ftiren do\u011fru par\u00e7as\u0131na cisim k\u00f6\u015fegeni denir. Cisim k\u00f6\u015fegeni daima prizman\u0131n i\u00e7inden ge\u00e7er. Y\u00fczeylerinden ge\u00e7mez. Sadece bir y\u00fczeyden ge\u00e7en k\u00f6\u015fegene o y\u00fcze ait y\u00fczey k\u00f6\u015fegeni denir. Burada k\u00f6\u015fegenlerin uzunluklar\u0131 |AC&#8217;| = |A&#8217;C| = |BD&#8217;| = |B&#8217;D| = e (cisim k\u00f6\u015fegeni) |BD| = f (Y\u00fczey k\u00f6\u015fegeni) olsun. Bu durumda Hacim = a.b.c Alan =2(ab+bc+ac)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Alt ve \u00fcst tabanlar\u0131 paralel e\u015f \u015fekillerden olu\u015fan cisimlere prizma denir. Yan y\u00fczeyleri taban d\u00fczlemine dik olan prizmalara dik prizma ad\u0131 verilir. Prizmalarda yan y\u00fczeyleri birle\u015ftiren ayr\u0131tlara yanal ayr\u0131t denir. [AA&#8217;], [BB&#8217;], [CC&#8217;], [DD&#8217;] yanal ayr\u0131tlard\u0131r. Dik prizmalarda yanal ayr\u0131t cismin y\u00fcksekli\u011fine e\u015fittir. Cismin y\u00fcksekli\u011fine h dersek h = |AA&#8217;| = |BB&#8217;| = |CC&#8217;| = &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1404,1403],"tags":[7439,7295,2748],"class_list":["post-3203","post","type-post","status-publish","format-standard","hentry","category-matematik-odevleri","category-odevler","tag-dik-prizmalarin-alan-ve-hacimleri","tag-dikdortgenler-prizmasi","tag-prizma"],"_links":{"self":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3203","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/comments?post=3203"}],"version-history":[{"count":0,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3203\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/media?parent=3203"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/categories?post=3203"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/tags?post=3203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}