Question

A playground has two sandboxes. Each sandbox is in the shape of a right prism. The first sandbox has a square base with a side length of 8 feet. What is the area, in square feet, of the base of the first sandbox? Show or explain how you got your answer. Help

Answer 1

64 ft²

Explanation:

A prism is a three dimensional shape with two identical shapes facing each other known as bases. A right prism is a three dimensional solid with a polygon as its base and vertical sides which are perpendicular to the base.

Given that the first sandbox is a right prism a square base, hence this is a square prism (that is a cube).

Since the side length of the square base is 8 ft, hence the area of the base of the first sandbox is:

Area of the base = length * length = 8 ft * 8 ft = 64 ft²