A square pyramid has a height of 9 units and a volume of 147 units3. If a square prism has the same base area and volume as the square pyramid, what is its height? 1 unit 3 units 6 units 9 units

  3 units

Step-by-step explanation:

The volume of the pyramid is given by the formula ...

  V = 1/3Bh

where B is the base area and h is the height.

Filling in the given numbers, we find the base area to be ...

  147 = (1/3)B(9)

  49 = B . . . . . . . divide by 3

The square prism with the same volume will have a height given by ...

  V = Bh

  147 = 49h . . . . . . . fill in the known numbers

  147/49 = h = 3 . . . divide by 49

The square prism has a height of 3 units.

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