{"id":166674,"date":"2024-11-14T00:11:31","date_gmt":"2024-11-14T00:11:31","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=166674"},"modified":"2024-11-14T00:11:35","modified_gmt":"2024-11-14T00:11:35","slug":"which-of-the-following-quantities-is-equivalent-to-3-7-cm","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/14\/which-of-the-following-quantities-is-equivalent-to-3-7-cm\/","title":{"rendered":"Which of the following quantities is equivalent to 3.7 cm"},"content":{"rendered":"\n

Which of the following quantities is equivalent to 3.7 cm?
A. 3.7\u00d710\u207b\u2075 km
B. 3.7\u00d710\u2075 \u03bcm
C. 3.7\u00d710\u207b\u00b2 mm
D. 3.7\u00d710\u00b2 mm
E. 3.7\u00d710\u207b\u00b3 m<\/p>\n\n\n\n

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

The correct answer is E. 3.7\u00d710\u207b\u00b3 m<\/strong>.<\/p>\n\n\n\n

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

To solve this, let’s convert 3.7 cm into various units of length and determine which option is equivalent.<\/p>\n\n\n\n

Step 1: Convert 3.7 cm to meters (m).<\/h4>\n\n\n\n

We know that 1 cm = 0.01 m (since 1 m = 100 cm). So to convert 3.7 cm to meters:<\/p>\n\n\n\n

[
3.7 \\, \\text{cm} = 3.7 \\times 0.01 \\, \\text{m} = 0.037 \\, \\text{m}
]<\/p>\n\n\n\n

Step 2: Convert 0.037 m to other units in the options.<\/h4>\n\n\n\n
    \n
  • Option A<\/strong>: (3.7 \\times 10^{-5}) km:\n
      \n
    • To convert meters to kilometers, we use the conversion factor: 1 km = 1000 m.<\/li>\n\n\n\n
    • Thus, (3.7 \\, \\text{cm} = 0.037 \\, \\text{m} = 0.037 \\div 1000 = 3.7 \\times 10^{-5} \\, \\text{km}).<\/li>\n\n\n\n
    • This is correct but doesn’t match the other options since it’s in kilometers.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Option B<\/strong>: (3.7 \\times 10^5 \\, \\mu\\text{m}) (micrometers):\n
        \n
      • To convert meters to micrometers (\u03bcm), we know that 1 m = (10^6 \\, \\mu\\text{m}).<\/li>\n\n\n\n
      • So, (0.037 \\, \\text{m} = 0.037 \\times 10^6 \\, \\mu\\text{m} = 37,000 \\, \\mu\\text{m} = 3.7 \\times 10^4 \\, \\mu\\text{m}).<\/li>\n\n\n\n
      • This is incorrect because (3.7 \\times 10^5 \\, \\mu\\text{m}) is too large.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Option C<\/strong>: (3.7 \\times 10^{-2}) mm (millimeters):\n
          \n
        • To convert meters to millimeters (mm), we know that 1 m = 1000 mm.<\/li>\n\n\n\n
        • So, (0.037 \\, \\text{m} = 0.037 \\times 1000 \\, \\text{mm} = 37 \\, \\text{mm}), which is much larger than (3.7 \\times 10^{-2} \\, \\text{mm}), making this option incorrect.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
        • Option D<\/strong>: (3.7 \\times 10^2 \\, \\text{mm}):\n
            \n
          • Again, we know (0.037 \\, \\text{m} = 37 \\, \\text{mm}), which is not (3.7 \\times 10^2 = 370 \\, \\text{mm}).<\/li>\n\n\n\n
          • This option is incorrect because it is too large.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
          • Option E<\/strong>: (3.7 \\times 10^{-3} \\, \\text{m}):\n
              \n
            • This directly matches the value we obtained from the conversion in step 1. (0.037 \\, \\text{m} = 3.7 \\times 10^{-3} \\, \\text{m}).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n

              Thus, E. 3.7\u00d710\u207b\u00b3 m<\/strong> is the correct answer.<\/p>\n","protected":false},"excerpt":{"rendered":"

              Which of the following quantities is equivalent to 3.7 cm?A. 3.7\u00d710\u207b\u2075 kmB. 3.7\u00d710\u2075 \u03bcmC. 3.7\u00d710\u207b\u00b2 mmD. 3.7\u00d710\u00b2 mmE. 3.7\u00d710\u207b\u00b3 m The Correct Answer and Explanation is: The correct answer is E. 3.7\u00d710\u207b\u00b3 m. Explanation: To solve this, let’s convert 3.7 cm into various units of length and determine which option is equivalent. Step 1: Convert […]<\/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-166674","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166674","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=166674"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166674\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=166674"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=166674"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=166674"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}