Question

The original base dimensions of a square pyramid are tripled while the height remains the same. How do the changes in the dimensions of the base of the pyramid affect the volume of the solid?

9 times bigger
3 times bigger
27 times bigger
6 times bigger

Answer 1

Volume = (1/3)(base area)(height). Tripling each side of the square base multiplies the base area by 3^2 = 9, and the height is unchanged, so the volume becomes 9 times bigger.