Question

A prism has three times the volume of a pyramid with the same base and altitude.

a. true
b. false

Answer 1

A) True.

Explanation:

Volume of any prism = base area x Height.

Volume of any Pyramid = Base area x height ÷3.

The volume of Pyramid is volume of prism divided by 3.

In other words we can say the volume of prism is 3 times the volume of a pyramid which will have the same base and height.

So the statement A prism has three times the volume of a pyramid with the same base and altitude is True.

Answer 2

The correct answer is true.

To go from a prism to a pyramid with the same base and altitude, you simply need to divide it by 3. There is a factor of 3 between them.

This is also true of cylinders and cones.