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

Answer 1

To express the possible area of the base, b, of the sandbox in terms of an inequality, we can use the formula for the volume of a rectangular prism:

Volume = length x width x height

Given that the height is 1/2 ft and the volume needs to be at least 42 cubic ft, we can write the inequality as:

b x w x 1/2 ≥ 42

Simplifying this inequality, we get:

b x w ≥ 84

Therefore, the inequality to express the possible area of the base, b, of the sandbox is b x w ≥ 84.