Dimension Changes in Volume

Question

A scale factor of 2 is applied to the lengths of the sides of the base of a square pyramid. The height remains the same. If the original pyramid had a volume of 168 cubic units, what is the new volume?

Answer choices are:

336 cubic units

504 cubic units

1008 cubic units

2016 cubic units

Answer 1

Volume of a square based pyramid is V =a²h/3 = 168 cubic units where a is the side length and h is the height.

For the 2a base scale factor, V = (2a)²h/3 = 4a²h/3 so the volume increases by the factor of 4 = or 672 Cubic units.

The answer choices do not have this value.