Question

The dimensions of the base of a right square pyramid are each multiplied by 4, but the height remains fixed. By what factor is the volume of the pyramid multiplied?

A. 32
B. 16
C. 8
D. 4

Answer 1

C. 8

Explanation:

`{a}^(2) (h)/(3) = V`

Starting with the ratio of 2:1, squaring the base edge will give you 4, but you need something more, so that when squared AGAIN, it will give you 8, so that would be 2√2. When you square this it will give you 8.

* This is not the best explanation, but I gave you one.

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