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.
a 200 ft.^2
b 12.5 ft.^2
c 6.25 ft.^2
d 37.5 ft.^2
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
Since we are given that the volume is 50 cubic feet and the height is 4 feet, we can write the equation as 50 = lw(4).
To find the area of the base, we need to solve for lw. We can divide both sides of the equation by 4 to isolate lw:
lw = 50/4 = 12.5
Therefore, the area of the base is 12.5 square feet.
The answer is b) 12.5 ft.^2.