Question

The top of a gate post is in the shape of a square pyramid. The height of the pyramid is 5 inches and each side of the base is 7.4 inches. Find the volume of wood needed to make the top of the gate post. Round to the nearest tenth.

Answer 1

91.3 in³

Explanation:

The formula for the volume of a pyramid is:

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

Given the dimensions in the problem and that the pyramid has a square base, we can first calculate the area of the base:

A = 7.4 x 7.4 = 54.76 in²

Multiply the area of the base x height of the pyramid: (54.76 x 5) = 273.8

Divide by 3 (multiply by
`(1)/(3)`): 273.8/3 ≈ 91.3 in³