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 200 ft.2 200 feet squared 6.25 ft.2 6.25 feet squared 37.5 ft.2

1 answer

The volume \( V \) of a right rectangular prism is given by the formula:

\[ V = \text{Base Area} \times \text{Height} \]

In this case, we know that the volume \( V \) is 50 cubic feet and the height \( h \) is 4 feet. We need to find the base area \( A \).

Rearranging the formula to solve for the base area \( A \):

\[ A = \frac{V}{h} \]

Now, substituting the values for \( V \) and \( h \):

\[ A = \frac{50 \text{ ft}^3}{4 \text{ ft}} = 12.5 \text{ ft}^2 \]

Thus, the area of the base is 12.5 ft².

The correct responses are: 12.5 ft² or 12.5 feet squared.