To find the area of the base of a right rectangular prism (box) given the volume and height, we can use the volume formula for a rectangular prism:
\[ V = \text{Base Area} \times \text{Height} \]
Where:
- \( V \) is the volume
- Base Area is the area of the base
- Height is the height of the prism
Given that the volume \( V = 50 \) cubic feet and the height \( h = 4 \) feet, we can rearrange the formula to solve for the base area:
\[ \text{Base Area} = \frac{V}{h} \]
Substituting the known values:
\[ \text{Base Area} = \frac{50 \text{ ft}^3}{4 \text{ ft}} = 12.5 \text{ ft}^2 \]
So the area of the base is \( 12.5 \text{ ft}^2 \).
The correct response is:
12.5 ft.² or 12.5 feet squared.