Question

What happens to the volume of a square pyramid if the base dimensions remain the same, but the height is cut to one third of the original?

The volume becomes 9 times larger than original.
The volume becomes 1/9 of original.
The volume becomes 3 times larger than original.
The volume becomes 1/3 of original.

Answer 1

Volume of a pyramid is V = (1/3)(base area)·height. With the base unchanged and height reduced to 1/3, the volume scales by 1/3.

So the volume becomes 1/3 of the original.