{"id":989,"date":"2023-10-01T13:29:10","date_gmt":"2023-10-01T13:29:10","guid":{"rendered":"https:\/\/www.matematikazavsicki.com\/tr\/?p=989"},"modified":"2023-10-01T13:29:11","modified_gmt":"2023-10-01T13:29:11","slug":"piramit","status":"publish","type":"post","link":"https:\/\/www.matematikazavsicki.com\/tr\/piramit\/","title":{"rendered":"Piramit"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Bir piramit, bir \u00e7okgen olan bir tabana ve tabandaki \u00e7okgenin kenar say\u0131s\u0131na e\u015fit say\u0131da yan duvarlara sahip olan geometrik bir g\u00f6vdedir.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bir tarafta t\u00fcm yan duvarlar tabana tutturulurken, kar\u015f\u0131 tarafta (e\u011fer piramit tamamlanm\u0131\u015fsa) hepsi piramidin tepesi ad\u0131 verilen ayn\u0131 noktada bitiyor. Piramidin tepesini tabana dik a\u00e7\u0131yla ba\u011flayan par\u00e7aya piramidin y\u00fcksekli\u011fi denir ve H (Latince) ile g\u00f6sterilir.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"380\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Piramit.jpg\" alt=\"Piramit\" class=\"wp-image-994\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Piramit.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Piramit-300x228.jpg 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">Piramit T\u00fcrleri<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Piramitler iki farkl\u0131 kritere g\u00f6re farkl\u0131 piramit t\u00fcrlerine ayr\u0131labilir:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) Taban\u0131n geometrik \u015fekline g\u00f6re piramitler a\u015fa\u011f\u0131dakilere ayr\u0131l\u0131r:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00dc\u00e7gen piramit (piramidin taban\u0131 bir <a href=\"https:\/\/www.matematikazavsicki.com\/tr\/ucgen-turleri\/\">\u00fc\u00e7gen<\/a> ise)<\/li>\n\n\n\n<li>D\u00f6rtgen piramit (piramidin taban\u0131 d\u00f6rtgen ise)<\/li>\n\n\n\n<li>Be\u015fgen piramit (piramidin taban\u0131 be\u015fgen ise)<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Mant\u0131ksal olarak, tabandaki \u00e7okgenin a\u00e7\u0131lar\u0131n\u0131n (kenarlar\u0131n\u0131n) say\u0131s\u0131na ba\u011fl\u0131 olarak buna piramit de denir!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) Piramidin y\u00fcksekli\u011fi ile taban\u0131n\u0131n bulundu\u011fu d\u00fczlemin olu\u015fturdu\u011fu a\u00e7\u0131n\u0131n boyutuna g\u00f6re piramit \u015f\u00f6yle olabilir:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u00fcz &#8211; y\u00fckseklik ve taban birbirine dik a\u00e7\u0131daysa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E\u011fik &#8211; y\u00fckseklik ve taban dik a\u00e7\u0131dan farkl\u0131 bir a\u00e7\u0131y\u0131 kaps\u0131yorsa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Taban\u0131 e\u015fit kenarl\u0131 bir \u00e7okgen ise ve taban ile y\u00fckseklik aras\u0131ndaki a\u00e7\u0131 dik a\u00e7\u0131 ise, bir piramidin d\u00fczenli oldu\u011fu s\u00f6ylenebilir. Bu tip piramitlerde t\u00fcm yan duvarlar birbirine e\u015fit ikizkenar \u00fc\u00e7genlerdir.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Bir Piramidin Alan\u0131<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Bir piramidin alan\u0131 a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak hesaplan\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\/Bir-piramidin-alani-icin-formul.jpg\" alt=\"Bir piramidin alan\u0131 i\u00e7in form\u00fcl\" class=\"wp-image-996\" style=\"width:201px;height:52px\" width=\"201\" height=\"52\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-piramidin-alani-icin-formul.jpg 319w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-piramidin-alani-icin-formul-300x77.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">burada B taban\u0131n alan\u0131n\u0131, M ise yan duvarlar\u0131n toplam alan\u0131n\u0131 g\u00f6sterir.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bir piramidin alan\u0131n\u0131 hesaplama form\u00fcl\u00fc, piramidin t\u00fcr\u00fcne g\u00f6re ayarlanmal\u0131d\u0131r. Piramit \u00fc\u00e7gense, piramidin alan\u0131n\u0131 hesaplamak i\u00e7in \u00fc\u00e7genin alan form\u00fcl\u00fcn\u00fc kullanmam\u0131z gerekir; taban\u0131n yaln\u0131zca bir \u00fc\u00e7gen oldu\u011funu, M&#8217;nin ise \u00fc\u00e7 kenardan olu\u015ftu\u011funu ak\u0131lda tutarak \u00fc\u00e7gen \u015fekli.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E\u011fer piramit sa\u00e7 ise, o zaman hesaplama ger\u00e7ekten karma\u015f\u0131k hale gelir \u00e7\u00fcnk\u00fc t\u00fcm yan duvarlar birbirinden farkl\u0131d\u0131r.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Alan Sorunu<\/h4>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">\u00d6rnek 1: Kenar uzunlu\u011fu 30 cm ise, taban\u0131 20 cm olan kare tabanl\u0131 normal bir piramidin alan\u0131n\u0131 hesaplay\u0131n.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">G\u00f6revi \u00e7\u00f6zme prosed\u00fcr\u00fc a\u015fa\u011f\u0131daki rotay\u0131 takip eder:<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">a) Taban alan\u0131n\u0131n karenin alan\u0131 form\u00fcl\u00fcne g\u00f6re hesaplanmas\u0131. (M de\u011feri)<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">b) Heron form\u00fcl\u00fc ile ikizkenar \u00fc\u00e7genin alan\u0131n\u0131n hesaplanmas\u0131 (birka\u00e7 yolla yap\u0131labilir). D\u00f6rt e\u015fit kenar oldu\u011fundan de\u011fer 4 ile \u00e7arp\u0131l\u0131r. (de\u011fer B).<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">c) M i\u00e7in elde edilen de\u011fer ile B i\u00e7in elde edilen de\u011ferin toplam\u0131n\u0131n hesaplanmas\u0131.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">\u00c7\u00f6z\u00fcm:<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">a) Piramidin taban alan\u0131n\u0131n hesaplanmas\u0131:<\/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\/Piramidin-kare-tabaninin-alaninin-hesaplanmasi.jpg\" alt=\"Piramidin kare taban\u0131n\u0131n alan\u0131n\u0131n hesaplanmas\u0131\" class=\"wp-image-998\" style=\"width:136px;height:70px\" width=\"136\" height=\"70\"\/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">taban\u0131n kenar uzunlu\u011funun de\u011ferini de\u011fi\u015ftirerek \u015funu elde ederiz:<\/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\/Piramidin-kare-taban-alani-degeri.jpg\" alt=\"Piramidin kare taban alan\u0131 de\u011feri\" class=\"wp-image-1000\" style=\"width:209px;height:62px\" width=\"209\" height=\"62\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Piramidin-kare-taban-alani-degeri.jpg 353w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Piramidin-kare-taban-alani-degeri-300x89.jpg 300w\" sizes=\"auto, (max-width: 209px) 100vw, 209px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">bundan taban\u0131n alan\u0131n\u0131n 400 santimetre kare oldu\u011fu anla\u015f\u0131lmaktad\u0131r. Bu de\u011fer piramidin alan\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131lan form\u00fcl\u00fcn B de\u011ferini temsil eder.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">b) Kenarlar\u0131 20cm, 30cm ve 30cm olan bir \u00fc\u00e7gen olan piramidin yan duvar\u0131 i\u00e7in Heron form\u00fcl\u00fc kullan\u0131larak bir \u00fc\u00e7genin alan\u0131n\u0131n 283&#8217;e e\u015fit oldu\u011fu elde edilir ( yakla\u015f\u0131k) santimetre kare. Form\u00fclden M de\u011ferinin tamam\u0131n\u0131 elde etmek i\u00e7in bir yan duvar\u0131n alan\u0131 de\u011feri 4 ile \u00e7arp\u0131larak M de\u011feri 1132 santimetrekare elde edilir.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">c) Piramidin alan\u0131 B ve M&#8217;nin toplam\u0131 olarak yer de\u011fi\u015ftirir. Nihai sonu\u00e7 1532 santimetre karedir.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Bir Piramidin Hacmi<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Bir piramidin hacmi a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak hesaplan\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\/Bir-piramidin-hacmi-icin-formul.jpg\" alt=\"Bir piramidin hacmi i\u00e7in form\u00fcl\" class=\"wp-image-1002\" style=\"width:183px;height:96px\" width=\"183\" height=\"96\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-piramidin-hacmi-icin-formul.jpg 321w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-piramidin-hacmi-icin-formul-300x157.jpg 300w\" sizes=\"auto, (max-width: 183px) 100vw, 183px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Herhangi bir piramidin hacmini belirlemek i\u00e7in piramidin taban alan\u0131 ile piramidin y\u00fcksekli\u011finin \u00e7arp\u0131m\u0131n\u0131n \u00fc\u00e7te birini hesaplamam\u0131z gerekir.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">\u00d6rnek 2: Piramidin y\u00fcksekli\u011fi 25 cm ise, taban\u0131 kare ve kenar\u0131 15 cm olan bir piramidin hacmini hesaplay\u0131n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u00f6revi \u00e7\u00f6zmek i\u00e7in gereklidir:<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">a) Taban\u0131n alan\u0131n\u0131 hesaplamak i\u00e7in (kare form\u00fcl\u00fcne g\u00f6re 225 santimetre kare elde edilir, (bkz. \u00f6rnek 1).<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">b) Taban alan\u0131 de\u011feri H y\u00fcksekli\u011fi ile \u00e7arp\u0131l\u0131r. Bu iki de\u011ferin \u00e7arp\u0131m\u0131 5625 santimetrek\u00fcp olur.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">c) Son olarak b) \u015f\u0131kk\u0131nda elde edilen de\u011ferin \u00fc\u00e7te biri hesaplan\u0131r. 5625&#8217;in \u00fc\u00e7te biri 1875&#8217;tir.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">2 numaral\u0131 \u00f6rnekteki piramidin hacmi 1875 santimetrek\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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Bir tarafta t\u00fcm yan duvarlar tabana tutturulurken, kar\u015f\u0131 tarafta [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":994,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[132,133,134,5,6,8],"tags":[252,248,260,299,302,47],"class_list":["post-989","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-10-sinif-matematik","category-11-sinif-matematik","category-12-sinif-matematik","category-8-sinif-matematik","category-9-sinif-matematik","category-geometri","tag-alani","tag-formul","tag-formulu","tag-hacmi","tag-piramit","tag-turleri"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Piramit<\/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\/piramit\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Piramit\" \/>\n<meta property=\"og:description\" content=\"Bir piramit, bir \u00e7okgen olan bir tabana ve tabandaki \u00e7okgenin kenar say\u0131s\u0131na e\u015fit say\u0131da yan duvarlara sahip olan geometrik bir g\u00f6vdedir. 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