{"id":936,"date":"2023-10-01T12:40:08","date_gmt":"2023-10-01T12:40:08","guid":{"rendered":"https:\/\/www.matematikazavsicki.com\/tr\/?p=936"},"modified":"2023-10-01T12:40:09","modified_gmt":"2023-10-01T12:40:09","slug":"dikdortgen-prizma","status":"publish","type":"post","link":"https:\/\/www.matematikazavsicki.com\/tr\/dikdortgen-prizma\/","title":{"rendered":"Dikd\u00f6rtgen Prizma"},"content":{"rendered":"\n<p>Bir dikd\u00f6rtgen prizma, alt\u0131 dikd\u00f6rtgen kenara veya dikd\u00f6rtgen ve kare kenarlar\u0131n bir kombinasyonuna sahip olan ve biti\u015fik kenarlar aras\u0131ndaki t\u00fcm a\u00e7\u0131lar\u0131n do\u011fru oldu\u011fu (her biri 90 derece) geometrik bir kat\u0131d\u0131r. Dikd\u00f6rtgen prizma kar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131n\u0131n birbirine e\u015fit olmas\u0131 ge\u00e7erlidir.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma.jpg\" alt=\"Dikd\u00f6rtgen Prizma\" class=\"wp-image-944\" style=\"width:600px;height:355px\" width=\"600\" height=\"355\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma.jpg 1003w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-300x178.jpg 300w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-768x455.jpg 768w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-947x561.jpg 947w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-624x370.jpg 624w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n<\/div>\n\n\n<p>Dikd\u00f6rtgen prizmi tan\u0131mlayan karakteristik b\u00fcy\u00fckl\u00fckler uzunlu\u011fu, geni\u015fli\u011fi ve y\u00fcksekli\u011fidir. Bu geometrik cismin y\u00fczeyini ve mekansal hacmini belirlemek i\u00e7in ihtiya\u00e7 duyulan veriler budur.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Elementler<\/h3>\n\n\n\n<p>Her k\u00fcpte \u015funlar bulunur:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 taraf<\/li>\n\n\n\n<li>8 k\u00f6\u015fe &#8211; k\u00fcboidin tepe noktas\u0131, \u00fc\u00e7 farkl\u0131 taraf\u0131n temas etti\u011fi noktad\u0131r.<\/li>\n\n\n\n<li>12 Kenar &#8211; Kenar, iki biti\u015fik taraf\u0131n temas etti\u011fi yeri temsil eden bir segmenttir.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Dikd\u00f6rtgen Prizma Alan\u0131<\/h2>\n\n\n\n<p>Bir dikd\u00f6rtgen prizma bir taraf\u0131n\u0131n <a href=\"https:\/\/www.matematikazavsicki.com\/tr\/dikdortgen\/\">dikd\u00f6rtgen<\/a> veya <a href=\"https:\/\/www.matematikazavsicki.com\/tr\/kare\/\">kare<\/a> olabilece\u011fini bilerek, elbette dikd\u00f6rtgen prizma alan\u0131n\u0131 hesaplamak i\u00e7in bu geometrik \u015fekillerin alan\u0131n\u0131 hesaplamak i\u00e7in form\u00fclleri kullanmal\u0131y\u0131z.<\/p>\n\n\n\n<p>Elbette dikd\u00f6rtgen prizma 6 kenar\u0131 oldu\u011fu i\u00e7in hesaplamada bunlar\u0131n hepsinin dikkate al\u0131nmas\u0131 gerekir. Dikd\u00f6rtgen prizma kar\u015f\u0131t taraflar\u0131n\u0131n birbirine e\u015fit olmas\u0131 uygundur, bu nedenle dikd\u00f6rtgen prizma alan\u0131 form\u00fcl\u00fcnde iki e\u015fit taraf grupland\u0131r\u0131labilir. Bir k\u00fcp\u00fcn alan\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-Dikdortgen-Prizma-alani-icin-formul.jpg\" alt=\"Bir Dikd\u00f6rtgen Prizma alan\u0131 i\u00e7in form\u00fcl\" class=\"wp-image-946\" style=\"width:348px;height:52px\" width=\"348\" height=\"52\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-Dikdortgen-Prizma-alani-icin-formul.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-Dikdortgen-Prizma-alani-icin-formul-300x44.jpg 300w\" sizes=\"auto, (max-width: 348px) 100vw, 348px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color\">G\u00f6rev numaras\u0131 1: Uzunlu\u011fu 15cm, geni\u015fli\u011fi 10cm ve y\u00fcksekli\u011fi 12cm olan dikd\u00f6rtgen prizma alan\u0131n\u0131 hesaplay\u0131n.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color\">a) Farkl\u0131 \u00fc\u00e7 dikd\u00f6rtgenin alanlar\u0131n\u0131, kenarlar\u0131n\u0131n kar\u015f\u0131l\u0131k gelen \u00e7arp\u0131mlar\u0131n\u0131 hesaplayarak hesapl\u0131yoruz.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color\">b) Farkl\u0131 dikd\u00f6rtgenlerin elde edilen alanlar\u0131n\u0131 2 ile \u00e7arp\u0131yoruz.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color\">c) Son olarak elde edilen de\u011ferleri b) alt\u0131nda topluyoruz. Elde edilen de\u011fer bize k\u00fcp\u00fcn alan\u0131n\u0131 g\u00f6sterir.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color\">Prosed\u00fcr \u015fu \u015fekilde ilerlemelidir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"46\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-Alani.jpg\" alt=\"Dikd\u00f6rtgen Prizma Alani\" class=\"wp-image-949\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-Alani.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-Alani-300x28.jpg 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color\">Bireysel \u00fcr\u00fcnlerin hesaplanmas\u0131ndan sonra kay\u0131t \u015fu \u015fekli al\u0131r:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Alani-Dikdortgen-Prizma.jpg\" alt=\"Alani Dikd\u00f6rtgen Prizma\" class=\"wp-image-951\" style=\"width:279px;height:41px\" width=\"279\" height=\"41\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Alani-Dikdortgen-Prizma.jpg 421w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Alani-Dikdortgen-Prizma-300x44.jpg 300w\" sizes=\"auto, (max-width: 279px) 100vw, 279px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color\">1 numaral\u0131 problemden elde edilen dikd\u00f6rtgen prizma alan\u0131 nereden 900 santimetrekaredir.*<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color\">*G\u00f6revi \u00e7\u00f6zerken \u00f6l\u00e7\u00fcler a\u00e7\u0131k ve net bir \u015fekilde g\u00f6sterilemeyecek kadar fazla yer kaplad\u0131\u011f\u0131ndan atlanm\u0131\u015ft\u0131r.<\/p>\n\n\n\n<p>A\u015fa\u011f\u0131daki video size dikd\u00f6rtgen prizma alan\u0131 ve hacmiyle ilgili \u00e7e\u015fitli sorunlar\u0131n \u00e7\u00f6z\u00fcm\u00fcn\u00fc g\u00f6rme f\u0131rsat\u0131 sunuyor. Ayn\u0131s\u0131, bu geometrik formun bir a\u011f\u0131n\u0131n yard\u0131m\u0131yla, k\u00fcp\u00fcn alan\u0131n\u0131n ve hacminin hesapland\u0131\u011f\u0131 form\u00fcl\u00fcn anla\u015f\u0131lmas\u0131n\u0131 sa\u011flar.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/youtu.be\/mB1Pz4nIFPg\"><img loading=\"lazy\" decoding=\"async\" width=\"526\" height=\"315\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-Video.jpg\" alt=\"Dikd\u00f6rtgen Prizma\" class=\"wp-image-953\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-Video.jpg 526w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-Video-300x180.jpg 300w\" sizes=\"auto, (max-width: 526px) 100vw, 526px\" \/><\/a><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading\">Dikd\u00f6rtgen Prizma Hacmi<\/h2>\n\n\n\n<p>Bir dikd\u00f6rtgen prizma hacminin form\u00fcl\u00fc:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-hacmi-icin-formul.jpg\" alt=\"Dikd\u00f6rtgen Prizma hacmi i\u00e7in form\u00fcl\" class=\"wp-image-955\" style=\"width:184px;height:51px\" width=\"184\" height=\"51\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-hacmi-icin-formul.jpg 316w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-hacmi-icin-formul-300x83.jpg 300w\" sizes=\"auto, (max-width: 184px) 100vw, 184px\" \/><\/figure>\n<\/div>\n\n\n<p>Bu geometrik g\u00f6vdenin herhangi bir temsilcisinin hacmini hesaplamak i\u00e7in uzunlu\u011funun, geni\u015fli\u011finin ve y\u00fcksekli\u011finin \u00e7arp\u0131m\u0131n\u0131 belirlemek yeterlidir.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color\">G\u00f6rev numaras\u0131 2: Uzunlu\u011fu 15 cm, geni\u015fli\u011fi 10 cm ve y\u00fcksekli\u011fi 12 cm olan dikd\u00f6rtgen prizma hacmini hesaplay\u0131n.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color\">Hesaplama olduk\u00e7a basit:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-hacmi.jpg\" alt=\"Dikd\u00f6rtgen Prizma hacmi\" class=\"wp-image-957\" style=\"width:336px;height:44px\" width=\"336\" height=\"44\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-hacmi.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Dikdortgen-Prizma-hacmi-300x40.jpg 300w\" sizes=\"auto, (max-width: 336px) 100vw, 336px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color\">Hesaplamadan dikd\u00f6rtgen prizma hacminin 1800 santimetrek\u00fcp oldu\u011fu anla\u015f\u0131lmaktad\u0131r. K\u00fcp\u00fcn hacmini d\u00f6n\u00fc\u015ft\u00fcrerek bunun 1,8 metrek\u00fcp oldu\u011fu tespit edilebilir (<a href=\"https:\/\/www.matematikazavsicki.com\/tr\/olcu-birinleri-ve-donusturmeler-alan-hacim\/\">hacim \u00f6l\u00e7\u00fclerinin nas\u0131l d\u00f6n\u00fc\u015ft\u00fcr\u00fcld\u00fc\u011f\u00fcn\u00fc unutmay\u0131n<\/a>).<\/p>\n\n\n\n<p>Bu geometrik cismin \u00f6zel bir t\u00fcr\u00fc, kenarlar\u0131 birbirine e\u015fit kareler olan k\u00fcpt\u00fcr.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n<form role=\"search\" method=\"get\" action=\"https:\/\/www.matematikazavsicki.com\/tr\/\" class=\"wp-block-search__button-outside wp-block-search__icon-button wp-block-search\"    ><label class=\"wp-block-search__label\" for=\"wp-block-search__input-1\" >Gerekli malzemeyi kolayca bulun! 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[&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":953,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[132,133,4,5,6,8],"tags":[252,297,248,299,298],"class_list":["post-936","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-10-sinif-matematik","category-11-sinif-matematik","category-7-sinif-matematik","category-8-sinif-matematik","category-9-sinif-matematik","category-geometri","tag-alani","tag-dikdortgen-prizma","tag-formul","tag-hacmi","tag-prizma"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Dikd\u00f6rtgen Prizma<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.matematikazavsicki.com\/tr\/dikdortgen-prizma\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Dikd\u00f6rtgen Prizma\" \/>\n<meta property=\"og:description\" content=\"Bir dikd\u00f6rtgen prizma, alt\u0131 dikd\u00f6rtgen kenara veya dikd\u00f6rtgen ve kare kenarlar\u0131n bir kombinasyonuna sahip olan ve biti\u015fik kenarlar aras\u0131ndaki t\u00fcm a\u00e7\u0131lar\u0131n do\u011fru oldu\u011fu (her biri 90 derece) geometrik bir kat\u0131d\u0131r. 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