{"id":155968,"date":"2022-03-26T01:14:04","date_gmt":"2022-03-25T19:44:04","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/area-of-a-prism-introduction-formulae-types-solved-examples-faqs\/"},"modified":"2023-05-08T14:33:14","modified_gmt":"2023-05-08T09:03:14","slug":"area-of-a-prism-introduction-formulae-types-solved-examples-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/","title":{"rendered":"Area of a Prism &#8211; Introduction, Formulae, Types, Solved Examples &#038; FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#Area_of_Prism\" title=\"Area of Prism\">Area of Prism<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#Types_of_Prisms\" title=\"Types of Prisms\">Types of Prisms<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#Area_of_Prism-2\" title=\"Area of Prism\">Area of Prism<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#Area_of_Prism_Example\" title=\"Area of Prism Example\">Area of Prism Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#Area_of_Prism_Solved_Example\" title=\"Area of Prism Solved Example\">Area of Prism Solved Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#FAQs\" title=\"FAQs\">FAQs<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Area_of_Prism\"><\/span>Area of Prism<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The area of a prism is the total area of the faces of the prism. The area of a prism can be found by multiplying the base area by the height of the prism.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155967 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-prism-introduction-formulae-types-solved-examples-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-prism-introduction-formulae-types-solved-examples-faqs.jpg?v=1648237443 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-prism-introduction-formulae-types-solved-examples-faqs-300x212.jpg?v=1648237443 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Types_of_Prisms\"><\/span><b>Types of Prisms<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The unique feature of a prism is if it is cut from the middle or basically at the intersection. The cross-section of the object will be parallel to the base. This means that the cross-section of the prism will be uniform throughout. Given that most prisms are polygonal, depending on the shape of the cross-section, there are mainly two types of prisms, regular and irregular prisms. <\/span><\/p>\n<p style=\"font-weight: 400;\">A regular prism may be defined as a prism whose base corresponds to a regular polygonal shape, for example, a square, a circle, a triangle, etc. Let\u2019s take the example of a rod. Cylindrical in shape, if this rod is cut in the middle, we will obtain a perfect circle which will be identical to its circular base. Similarly, if you were to cut out a plateau in the middle, you\u2019d get a quadrilateral which would be parallel to its base.<\/p>\n<p style=\"font-weight: 400;\">On the contrary, an irregular prism has every other property of a prism but it doesn\u2019t resemble a regular polygon. This is to say that it does not have a rectangle or a triangle or any other regular polygonal shape as its base. Remember those fascinating kaleidoscopes that we all loved to buy from the fairs? Many of them had interesting shapes like hearts, stars, bubbles, etc. Now, these are not regular polygons so prisms with irregular shapes base are called irregular prisms.<\/p>\n<p style=\"font-weight: 400;\">Now that we know the definition of a prism, let us move to find out the surface area of the prism.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Area_of_Prism-2\"><\/span><b>Area of Prism<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"font-weight: 400;\">As a three dimensional figure, the area of a prism is calculated in terms of the surface area of the prism, which is basically the sum of the area of all its faces. We know in the case of a two-dimensional figure, we find out the area by multiplying the sides of the figure. In case of a three-dimensional figure like a prism, we calculate the area of the prism by including the height of the object as well.<\/p>\n<p style=\"font-weight: 400;\">We know that the defining feature of a prism is that it has two identical bases, irrespective of the kind of prism. Now, if the area of prism definition reflects, the sum of the surface area of all its faces, then we can simply double up the area of the bases and add the product of the rest of the dimensions. Let us illustrate this better with the area of the prism formula.<\/p>\n<p style=\"font-weight: 400;\">The surface area of prism formula may be defined as 2 x area of base + (perimeter of base x height)<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Area_of_Prism_Example\"><\/span><b>Area of Prism Example<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"font-weight: 400;\">If we take the example of a rectangular prism, then the area of prism formula would read like:<\/p>\n<p style=\"font-weight: 400;\">2 x Length x Breadth + 2( Length + Breadth) x Height<\/p>\n<p style=\"font-weight: 400;\">Let us now understand the area of prism formula in this case with the figure :<\/p>\n<p style=\"font-weight: 400;\">(image will be uploaded soon)<\/p>\n<p style=\"font-weight: 400;\">Area of the base is length x breadth, so we simply need to double it up for the top and the bottom surfaces.<\/p>\n<p style=\"font-weight: 400;\">Then we sum up the perimeter of the base by adding the length and the breadth and again double it up for the parallel sides. Finally, we multiply this with the height to account for the third dimension and voila! We have our surface area of prism for a rectangular prism.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Area_of_Prism_Solved_Example\"><\/span><b>Area of Prism Solved Example<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"font-weight: 400;\">How can we calculate the surface area of a prism for a triangular prism?<\/p>\n<p style=\"font-weight: 400;\">The area of prism formula is 2 x Length x Breadth + 2( Length + Breadth) x Height<\/p>\n<p style=\"font-weight: 400;\">On a similar count, we can combine the area of the prism formula to a triangular in order to find the surface area of prism in this case.<\/p>\n<p style=\"font-weight: 400;\">The formula to be used here would be Area of the triangular base + 2( perimeter of the sides) x height<\/p>\n<p style=\"font-weight: 400;\">Hence, the area of the base can be evaluated as : H x B + 2(S1+S2+S3) x H<\/p>\n<p>&nbsp;<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Sure, here are some frequently asked questions about Prism with short answers:<\/p>\n<p>Q. What is Prism?<br \/>\nA. Prism is a software framework that helps you build maintainable, scalable, and testable desktop applications using .NET technologies.<\/p>\n<p>Q. What platforms does Prism support?<br \/>\nA. Prism supports multiple platforms including WPF, WinForms, and UWP (Universal Windows Platform).<\/p>\n<p>Q. What is the role of a module in Prism?<br \/>\nA. A module is a self-contained unit of functionality in Prism that can be added or removed from the application at runtime. Modules help in achieving modular application design.<\/p>\n<p>Q. What is the purpose of regions in Prism?<br \/>\nA. Regions are placeholders in the application&#8217;s UI where views can be dynamically loaded and unloaded at runtime. This enables developers to create flexible and dynamic UIs.<\/p>\n<p>Q. How does Prism support Dependency Injection (DI)?<br \/>\nA. Prism provides a built-in container for DI that can be used to manage the dependencies of the application&#8217;s components.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Area of Prism The area of a prism is the total area of the faces of the prism. The area [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Area of a Prism - Introduction, Formulae, Types, Solved Examples & FAQs","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Area of a Prism in detail on infinitylearn.com. Know more about the Area of a Prism introduction, Formulae,Types and Solved Examples for better understanding. Register Now for free to learn more!","custom_permalink":"maths\/area-of-a-prism\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Area of a Prism - Introduction, Formulae, Types, Solved Examples &amp; FAQs - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about Area of a Prism in detail on infinitylearn.com. Know more about the Area of a Prism introduction, Formulae,Types and Solved Examples for better understanding. Register Now for free to learn more!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Area of a Prism - Introduction, Formulae, Types, Solved Examples &amp; FAQs - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Learn about Area of a Prism in detail on infinitylearn.com. Know more about the Area of a Prism introduction, Formulae,Types and Solved Examples for better understanding. Register Now for free to learn more!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-03-25T19:44:04+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-05-08T09:03:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-prism-introduction-formulae-types-solved-examples-faqs.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"vipin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Area of a Prism - Introduction, Formulae, Types, Solved Examples & FAQs - Infinity Learn by Sri Chaitanya","description":"Learn about Area of a Prism in detail on infinitylearn.com. Know more about the Area of a Prism introduction, Formulae,Types and Solved Examples for better understanding. Register Now for free to learn more!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/","og_locale":"en_US","og_type":"article","og_title":"Area of a Prism - Introduction, Formulae, Types, Solved Examples & FAQs - Infinity Learn by Sri Chaitanya","og_description":"Learn about Area of a Prism in detail on infinitylearn.com. Know more about the Area of a Prism introduction, Formulae,Types and Solved Examples for better understanding. Register Now for free to learn more!","og_url":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-03-25T19:44:04+00:00","article_modified_time":"2023-05-08T09:03:14+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-prism-introduction-formulae-types-solved-examples-faqs.jpg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"vipin","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-prism-introduction-formulae-types-solved-examples-faqs.jpg?v=1648237443","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-prism-introduction-formulae-types-solved-examples-faqs.jpg?v=1648237443","width":606,"height":428},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/","name":"Area of a Prism - Introduction, Formulae, Types, Solved Examples & FAQs - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#primaryimage"},"datePublished":"2022-03-25T19:44:04+00:00","dateModified":"2023-05-08T09:03:14+00:00","description":"Learn about Area of a Prism in detail on infinitylearn.com. Know more about the Area of a Prism introduction, Formulae,Types and Solved Examples for better understanding. Register Now for free to learn more!","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Area of a Prism &#8211; Introduction, Formulae, Types, Solved Examples &#038; FAQs"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2"},"headline":"Area of a Prism &#8211; Introduction, Formulae, Types, Solved Examples &#038; FAQs","datePublished":"2022-03-25T19:44:04+00:00","dateModified":"2023-05-08T09:03:14+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#webpage"},"wordCount":861,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-prism\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-a-prism-introduction-formulae-types-solved-examples-faqs.jpg","articleSection":["Maths"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2","name":"vipin","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","caption":"vipin"},"sameAs":["http:\/\/surge.infinitylearn.com"],"url":"https:\/\/infinitylearn.com\/surge\/author\/vipin\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/155968"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=155968"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/155968\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=155968"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=155968"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=155968"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=155968"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}