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anonymous

  • one year ago

Rachel has a box in the shape of a prism with a square base. The capacity of the box is 150 cubic inches. The height of the box (y) is 112 times the base length of the box (x). Find the approximate height and the length of the box.

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  1. anonymous
    • one year ago
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    @peachpi

  2. anonymous
    • one year ago
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    *1 1/2

  3. anonymous
    • one year ago
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    not 112

  4. anonymous
    • one year ago
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    |dw:1436190466675:dw|

  5. anonymous
    • one year ago
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    The equation you want to solve is \[1.5x^3=150\]

  6. anonymous
    • one year ago
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    that isnt any of the answer choices? im confused, the answer options are x = 4 and y = 6 x = 5 and y = 7.5 x = 4.2 and y = 6.3 x = 4.6 and y = 6.9

  7. anonymous
    • one year ago
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    i also meant that it isnt 112, it is one and one half

  8. anonymous
    • one year ago
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    the volume of a box is all the sides multiplied together. the box has a square base, so two sides are x. It is given in the problem that the height is 1½ * x, that's where 1.5x came from. Multiply the 3 sides lengths together to get the volume is 1.5x³. The volume is also given as 150 in the problem. Therefore, the volume equation is \[1.5x^3=150\] We have to solve this equation for x to get the answer

  9. anonymous
    • one year ago
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    We start by moving 1.5 to the other side? How do we do that?

  10. anonymous
    • one year ago
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    oooohhh ok ok so i understand how you got the volume, that makes much more sense. and divide it??

  11. anonymous
    • one year ago
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    yes

  12. anonymous
    • one year ago
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    so i got 100, then what

  13. anonymous
    • one year ago
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    Now you have to get rid of the exponent. Since the exponent is 3, take the cube root of both sides

  14. anonymous
    • one year ago
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    i got 4.6

  15. anonymous
    • one year ago
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    yes

  16. anonymous
    • one year ago
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    x = 4.6 then just multiply by 1.5 to get y

  17. anonymous
    • one year ago
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    oh so the answer is 6.9

  18. anonymous
    • one year ago
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    ? so the answer is D?

  19. anonymous
    • one year ago
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    yes

  20. anonymous
    • one year ago
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    thank you!!!

  21. anonymous
    • one year ago
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    you're welcome

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