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 12.5 ft.2 12.5 feet squared 37.5 ft.2 37.5 feet squared 6.25 ft.2 6.25 feet squared 200 ft.2
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.
In this case, we are given that the volume is 50 cubic feet and the height is 4 feet. Let's call the length and width of the base "x" and "y" respectively.
So we have the equation 50 = xy(4).
To find the area of the base, we need to solve for xy. We can divide both sides of the equation by 4 to isolate xy:
50/4 = xy
12.5 = xy
So the area of the base is 12.5 square feet. Therefore, the correct answer is 12.5 ft.2.