Monica is constructing a box in the shape of a right rectangular prism to hold grain on her farm. Use the formula for the volume of a rectangular prism to find the area of the base when the volume is 50 cubic feet and the height is 4 feet.
12.5 ft.2
6.25 ft.2
200 ft.2
37.5 ft.2
The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
Given:
V = 50 cubic feet
h = 4 feet
We can rearrange the formula to solve for the area of the base (lwh = V).
lwh = V
lw(4) = 50
lw = 50/4
lw = 12.5
The area of the base is lw, so the answer is 12.5 ft.2.