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?

Answer 1

The ratio of volumes is 5

Answer 2

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Answer:

5

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.