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KierseyClemons

  • 3 years ago

Help!?!?These two rectangular prisms are similar. Find the volume of the larger rectangular prism

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  1. KierseyClemons
    • 3 years ago
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  2. Directrix
    • 3 years ago
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    If two solids are similar, the cube of their scale factor is equal to the ratio of their volumes. In this problem, 4/12 or 1/3 is the scale factor.

  3. Directrix
    • 3 years ago
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    The cube of (1/3) = 24/V where V is the volume of the larger prism.

  4. Directrix
    • 3 years ago
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    (1/3)^3 = 24/V Solve the equation for V.

  5. Directrix
    • 2 years ago
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    @not_so_smart Question?

  6. not_so_smart
    • 2 years ago
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    I got 192cm3 but that's wrong. Whats the answer so I can work the steps backwards? thanks

  7. Directrix
    • 2 years ago
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    Is your question identical to this one? http://openstudy.com/study#/updates/523bf07ae4b00182897ed413

  8. not_so_smart
    • 2 years ago
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    yes

  9. Directrix
    • 2 years ago
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    Hold on.

  10. Directrix
    • 2 years ago
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    @not_so_smart What equation did you use to get 192cm3 ?

  11. Directrix
    • 2 years ago
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    (1/3)^3 = 24/V 1/27 = 24/V Cross multiply: V = 27 * 24 V = ? @not_so_smart Just multiply those two numbers.

  12. not_so_smart
    • 2 years ago
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    648? I think i get it now. Thank u. It helped to do it backwards.

  13. Directrix
    • 2 years ago
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    Yes, you are welcome.

  14. not_so_smart
    • 2 years ago
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    no you are!

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