Monica is constructing a box in the shape of a right rectangular prism to hold the 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 12.5 ft.^2
b 37.5 ft.^2
c 200 ft.^2
d 6.25 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.
In this case, the volume is given as 50 cubic feet and the height is 4 feet.
So, we have: 50 = lw(4)
To determine the area of the base, we need to find the values of the length and width.
To do this, we can rearrange the equation to solve for l and w: lw = (50/4) = 12.5
Since we want to find the area of the base, we need to find the product of l and w.
Therefore, the area of the base is 12.5 square feet.
Therefore, the answer is d) 6.25 ft^2