{"id":234218,"date":"2025-06-14T02:30:02","date_gmt":"2025-06-14T02:30:02","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=234218"},"modified":"2025-06-14T02:30:05","modified_gmt":"2025-06-14T02:30:05","slug":"how-many-cm%c2%b3-are-there-in-2-5-m%c2%b3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/14\/how-many-cm%c2%b3-are-there-in-2-5-m%c2%b3\/","title":{"rendered":"How many cm\u00b3 are there in 2.5 m\u00b3"},"content":{"rendered":"\n

How many cm\u00b3 are there in 2.5 m\u00b3? 2.5 x 102<\/sup> 2.5 x 10-6<\/sup> 2.5 x 106<\/sup> 2.5 x 10-2<\/sup> none of the above
How many cm\u00b3 are there in 2.5 m\u00b3? 2.5 x 102<\/sup> 2.5 x 10-6<\/sup> 2.5 x 106<\/sup> 2.5 x 10-2<\/sup> none of the above<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/strong><\/p>\n\n\n\n

The correct answer is 2.5 x 10\u2076<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

This problem requires converting a unit of volume, specifically from cubic meters (m\u00b3) to cubic centimeters (cm\u00b3). To solve this, we must first understand the fundamental relationship between meters (m) and centimeters (cm) and then apply it to three-dimensional space.<\/p>\n\n\n\n

1. Establish the Linear Relationship:<\/strong><\/p>\n\n\n\n

The base unit of length in this problem is the meter. The prefix “centi-” means one-hundredth (1\/100 or 10\u207b\u00b2). This gives us the primary conversion factor for length:<\/p>\n\n\n\n

    \n
  • 1 meter = 100 centimeters<\/li>\n<\/ul>\n\n\n\n

    In scientific notation, this is expressed as:<\/p>\n\n\n\n

      \n
    • 1 m = 10\u00b2 cm<\/li>\n<\/ul>\n\n\n\n

      2. Convert to Volumetric Relationship:<\/strong><\/p>\n\n\n\n

      The question deals with volume, which is a three-dimensional measurement (length \u00d7 width \u00d7 height). Therefore, we cannot use the linear conversion factor directly. We must cube the entire linear relationship to find the volumetric equivalent.<\/p>\n\n\n\n

      Imagine a cube with each side measuring 1 meter. Its volume is 1 m \u00d7 1 m \u00d7 1 m = 1 m\u00b3. To find this volume in cubic centimeters, we convert each side’s length to centimeters first:<\/p>\n\n\n\n

        \n
      • Volume = (100 cm) \u00d7 (100 cm) \u00d7 (100 cm)<\/li>\n\n\n\n
      • Volume = (100)\u00b3 cm\u00b3<\/li>\n\n\n\n
      • Volume = 1,000,000 cm\u00b3<\/li>\n<\/ul>\n\n\n\n

        Using scientific notation, which is more convenient for this calculation:<\/p>\n\n\n\n

          \n
        • 1 m\u00b3 = (10\u00b2 cm)\u00b3<\/li>\n\n\n\n
        • 1 m\u00b3 = 10\u00b2\u02e3\u00b3 cm\u00b3<\/li>\n\n\n\n
        • 1 m\u00b3 = 10\u2076 cm\u00b3<\/li>\n<\/ul>\n\n\n\n

          So, one cubic meter is equal to one million cubic centimeters. This is our conversion factor for volume.<\/p>\n\n\n\n

          3. Apply the Conversion Factor:<\/strong><\/p>\n\n\n\n

          Now, we can convert the given value of 2.5 m\u00b3 to cm\u00b3 by multiplying it by our derived conversion factor:<\/p>\n\n\n\n

            \n
          • 2.5 m\u00b3 \u00d7 (10\u2076 cm\u00b3 \/ 1 m\u00b3)<\/li>\n<\/ul>\n\n\n\n

            The m\u00b3 units cancel out, leaving us with the answer in cm\u00b3:<\/p>\n\n\n\n

              \n
            • 2.5 \u00d7 10\u2076 cm\u00b3<\/li>\n<\/ul>\n\n\n\n

              Comparing this result to the given options, we find that it matches the third choice.<\/p>\n\n\n\n

              \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

              How many cm\u00b3 are there in 2.5 m\u00b3? 2.5 x 102 2.5 x 10-6 2.5 x 106 2.5 x 10-2 none of the aboveHow many cm\u00b3 are there in 2.5 m\u00b3? 2.5 x 102 2.5 x 10-6 2.5 x 106 2.5 x 10-2 none of the above The Correct Answer and Explanation is: The correct […]<\/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-234218","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234218","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=234218"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234218\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=234218"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=234218"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=234218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}