A sandbox in the shape of a rectangular prism is ft. high and needs to contain at least 42 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

Let b be the length of the base in feet.

The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.

Since the sandbox is in the shape of a rectangular prism, the volume of the sandbox is given by V = bh(12).

We know the volume must be at least 42 ft^3, so we can write the inequality as:

bh(12) ≥ 42

Simplifying the inequality, we get:

bh ≥ 42/12

bh ≥ 3.5

Therefore, the inequality expressing the possible area of the base, b, of the sandbox is b ≥ 3.5.