Question

If both base dimensions of a square pyramid double, but the height remains the same, then the volume of the new figure will be four times larger.
True
False



If all three dimensions of a rectangular prism double, then the volume will be three times larger.


True
False

Answer 1

The formula of the volume of a pyramid is 1/3 b*h where b is the area of the base which in this case is a square and has a formula of s^2. Hence doubling the side would make the new figure having four times the original volume. Answer is true. In 2, if all three dimensions of a rectangular prism double, then the volume will be 2^3 or 8 times larger. Answer is false.