Dimensional Volume

Question

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

V = b² (h/3). If the b --> 2b, then b² = (2b)² = 4 b².

V(new) = 4 b² (h/3) = 4V