Question

The volume of the prism shown is 72 inches cubed. A rectangular prism with a length of 4 inches, width of 3 inches, and height of 6 inches. What is the volume of a pyramid with the same base length, base width, and height? 24 inches cubed 36 inches cubed 72 inches cubed 216 inches cubed

Answer 1

24 in³

Explanation:

Volume of a pyramid:

⅓(base area) × height

⅓(4×3)×6

24

Answer 2

24 inches cubed

Explanation:

The volume of a rectangular prism is given by the following formula:

Volume = Length * Width * Height

The volume of a pyramid is given by the following formula:

Volume = (1/3) * Length * Width * Height

So the volume of the prism is 3 times the volume of the pyramid.

If the volume of the prism is 72 in3, we have that the volume of the pyramid is 72/3 = 24 in3