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)

Question

Responses

12.5 ft.2
12.5 feet squared

200 ft.2
200 feet squared

37.5 ft.2
37.5 feet squared

6.25 ft.2

Answer 1

To find the area of the base of a right rectangular prism, you can use the volume formula:

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

Given that the volume \( V \) is 50 cubic feet and the height \( h \) is 4 feet, we can rearrange the formula to solve for the base area:

\[ \text{Base Area} = \frac{V}{h} \]

Substituting the known values:

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

Thus, the area of the base is \( 12.5 \text{ ft}^2 \) or \( 12.5 \text{ feet squared} \).

So the correct answer is:

12.5 ft.² (or 12.5 feet squared)