Question

A rectangular pyramid has a volume of 210 cubic centimeters. What would be the volume of a rectangular prism with the same measurements for its base and height?

Answer 1

630 cm³

Explanation:

The general formula for the volume of a prism is:

V = Bh, where 'B' is the area of the base and 'h' is the height of the prism

The general formula for the volume of a pyramid is:

V =
`(1)/(3)`Bh, where 'B' is the area of the base and 'h' is the height of the pyramid

Since the only difference between these two formulas is the pyramid is 1/3 of the size, to find the volume a rectangular prism with the same measurements as a rectangular pyramid for its base and height:

Pyramid = 210 cm³

Prism = 210 x 3 = 630 cm³