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 1/9 of original.

The volume becomes 1/3 of original.

The volume becomes 3 times larger than original.

The volume becomes 9 times larger than original.

Answer 1

The volume becomes 1/3 of the original. With a rectangular base, volume of a pyramid is V=(length*width*height)/3. Cutting the height to 1/3 of the original length will make the total volume 1/3 of the original volume.