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 feet squared

200 ft.2
200 feet squared

12.5 ft.2
12.5 feet squared

37.5 ft.2

Answer 1

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

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

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 \( A \):

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

Substituting the given values:

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

Therefore, the area of the base is:

12.5 ft² (or 12.5 feet squared).