A sandbox in the shape of a rectangular prism is 1/2 ft. high and needs to contain at least 42 ft.3 of sand. How would you write an inequality to express the possible area of the base, b , of the sandbox?(1 point)

Answer 1

The volume of a rectangular prism can be found by multiplying the length, width, and height. In this case, the volume must be at least 42 ft.³, so we can write the inequality as:

Volume = length x width x height ≥ 42 ft.³

Given that the height is 1/2 ft, the volume equation becomes:

b x width x 1/2 ft ≥ 42 ft.³

Solving for the area of the base (b), we get:

b ≥ 84 ft.²