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

6.25 ft.2
6.25

ft.
2
6.25 feet squared

12.5 ft.2
12.5

ft
.
2
12.5 feet squared

200 ft.2
200

ft
.
2
200 feet squared

37.5 ft.2

Answer 1

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

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

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:

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

Now, plug in the values:

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

Calculating that gives:

\[ \text{Base Area} = 12.5 , \text{ft}^2 \]

So the area of the base is 12.5 ft².