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.(1 point)
Responses
200 ft.2
200 feet squared
12.5 ft.2
12.5 feet squared
37.5 ft.2
37.5 feet squared
6.25 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.
In this case, the volume is given as 50 cubic feet and the height is given as 4 feet. Let's substitute these values into the formula to find the area of the base.
50 = lwh
Since we are trying to find the area of the base, we can rearrange the formula to solve for it:
lwh = 50
lw = 50/h
lw = 50/4
lw = 12.5
The area of the base is lw, so the answer is 12.5 ft.2 or 12.5 square feet.