Correct Answer:<\/strong><\/p>\n\n\n\n The volume of the right triangular prism is 3 cubic meters (m\u00b3).<\/strong><\/p>\n\n\n\n Textbook-Style Explanation<\/strong><\/p>\n\n\n\n To calculate the volume of a right triangular prism, the following formula is used:Volume=Area of base\u00d7Height (or length\/altitude) of the prism\\text{Volume} = \\text{Area of base} \\times \\text{Height (or length\/altitude) of the prism}Volume=Area of base\u00d7Height (or length\/altitude) of the prism<\/p>\n\n\n\n A right triangular prism<\/strong> is a three-dimensional figure with two congruent right triangle bases and three rectangular lateral faces. The given problem states that the base is a right triangle<\/strong> with legs of 1 meter and 2 meters, and the altitude (height)<\/strong> of the prism (the distance between the two triangular bases) is 3 meters.<\/p>\n\n\n\n The base of the prism is a right triangle. The formula for the area AAA of a right triangle is:A=12\u00d7base\u00d7heightA = \\frac{1}{2} \\times \\text{base} \\times \\text{height}A=21\u200b\u00d7base\u00d7height<\/p>\n\n\n\n Here, the legs of the triangle are 1 meter and 2 meters, which serve as the base and height:A=12\u00d71\u00d72=22=1\u2009m2A = \\frac{1}{2} \\times 1 \\times 2 = \\frac{2}{2} = 1 \\, \\text{m}^2A=21\u200b\u00d71\u00d72=22\u200b=1m2<\/p>\n\n\n\n The prism has an altitude (length\/depth) of 3 meters:Volume=1\u2009m2\u00d73\u2009m=3\u2009m3\\text{Volume} = 1 \\, \\text{m}^2 \\times 3 \\, \\text{m} = 3 \\, \\text{m}^3Volume=1m2\u00d73m=3m3<\/p>\n\n\n\n 3\u2009m3\\boxed{3 \\, \\text{m}^3}3m3\u200b<\/p>\n\n\n\n This means the total space occupied by the triangular prism is 3 cubic meters. Volume is always expressed in cubic units because it measures how much three-dimensional space an object occupies. The right triangular prism here is relatively simple due to the right triangle base, allowing direct application of the basic geometric formulas.<\/p>\n\n\n\n Find the volume of a right triangular prism whose altitude is 3m and a right triangular base whose legs are 1m and 2m The Correct Answer and Explanation is: Correct Answer: The volume of the right triangular prism is 3 cubic meters (m\u00b3). Textbook-Style Explanation To calculate the volume of a right triangular prism, the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-233374","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233374","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=233374"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233374\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=233374"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=233374"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=233374"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nStep 1: Calculate the Area of the Triangular Base<\/h3>\n\n\n\n
Step 2: Multiply the Area of the Base by the Altitude of the Prism<\/h3>\n\n\n\n
Final Answer:<\/h3>\n\n\n\n
![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-222.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"