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Area and Volume

SAT Math· difficulty 4/5

Two similar pyramids have heights 44 and 1010. The smaller has volume 3232. What is the volume of the larger?

  • A

    8080

  • B

    200200

  • C

    500500

    check_circle
  • D

    10001000

Explanation

Volume ratio =(104)3=1258=\left(\frac{10}{4}\right)^3=\frac{125}{8}. Larger =32⋅1258=500=32\cdot\frac{125}{8}=500.

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