The area of the base of a right square pyramid is multiplied by 5, but the height is unchanged. What is the volume of the new pyramid divide

Question

The area of the base of a right square pyramid is multiplied by 5, but the height is unchanged. What is the volume of the new pyramid divided by the volume of the original pyramid?

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Thanh Hà 3 years 2021-08-18T23:17:03+00:00 2 Answers 6 views 0

Answers ( )

  1. taiduc
    0
    2021-08-18T23:18:08+00:00
    Reply

    The ratio of volumes is 5

  2. Giakhanh
    0
    2021-08-18T23:18:17+00:00
    Reply

    9514 1404 393

    Answer:

      5

    Step-by-step explanation:

    The volume of a right square pyramid is given by the formula …

      V = 1/3Bh

    where B is the area of the base.

    The volume of the larger pyramid will be …

      V’ = 1/3(5B)h

    So, the ratio of volumes is …

      V’/V = (1/3(5B)h)/(1/3Bh)

      V’/V = 5

    The ratio of volumes is 5.

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