Question

A square pyramid has a volume of 20 cubic units. What would be the change to the volume if the dimensions of the square base were doubled?

The volume would be eight times the original.
The volume would be four times the original.
The volume would be three times the original.
The volume would be twice the original.

Answer 1

When the base side length doubles, the base area quadruples (since area ∝ side^2) and the height stays the same. Volume = (1/3)(base area)(height), so the volume becomes 4 times the original. (From 20 to 80 cubic units.)