Monica is constructing a box in the shape of a right

Question

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)
12.5 ft.
2
37.5 ft.
2
6.25 ft.
2
200 ft.
2

Answer 1

To find the area of the base of the box (rectangular prism), we can use the formula for the volume of a rectangular prism, which is:

\[ \text{Volume} = \text{Area of the Base} \times \text{Height} \]

We know the volume is 50 cubic feet and the height is 4 feet. Let's denote the area of the base as \(A\). The equation can be set up as follows:

\[ 50 = A \times 4 \]

To find \(A\), we divide both sides of the equation by 4:

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

Thus, the area of the base is 12.5 ft².