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anonymous

  • one year ago

Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches.

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  1. mathstudent55
    • one year ago
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    Do you know the formula for the volume of a pyramid?

  2. anonymous
    • one year ago
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    no i forgot

  3. mathstudent55
    • one year ago
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    Here it is: \(A_{pyramid} = \dfrac{1}{3}Bh\) where B = area of the base

  4. anonymous
    • one year ago
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    these are the answers i can choose from: 4 inches 8 inches 16 inches 24 inches

  5. mathstudent55
    • one year ago
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    In this case, the base is a square. If the side of the square has length s, the area of the base is \(s^2\). Ok so far?

  6. anonymous
    • one year ago
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    yes

  7. anonymous
    • one year ago
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    @LiveLaughDie

  8. mathstudent55
    • one year ago
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    Now enter all the info we have in the formula. The side is unknow, s, and the area of the base is \(s^2\). The volume is 48 in^3. The height is 9 in.

  9. anonymous
    • one year ago
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    im horrible at this

  10. anonymous
    • one year ago
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    @tkhunny

  11. mathstudent55
    • one year ago
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    \(A_{pyramid} = \dfrac{1}{3} Bh\) \(48.~in^3 = \dfrac{1}{3} \times s^2 \times 9 ~in.\) Since all units are inches and cubic inches, I'll leave out the units to simplify the problem. Our answer will be in inches. \(48 = \dfrac{1}{3} \times s^2 \times 9\) On the right side, 9/3 = 3, so we have: \(48 = 3s^2\) Divide both sides by 3: \(16 = s^2\) \(s^2 = 16\) \(s = 4\) The length of the side is 4 in.

  12. anonymous
    • one year ago
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    thanks u rock :D :D :D

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