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)

O 200 ft.2

6.25 ft.

37.5 ft.2

12.5 ft.2

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 hours ago

The volume \( V \) of a rectangular prism can be calculated using the formula:

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

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

We can rearrange the formula to solve for the base area:

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

Substituting the given values:

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

So, the area of the base is \( 12.5 \text{ ft}^2 \).

The correct answer is 12.5 ft².