Volume of Right Rectangular Prisms Quick Check

Question

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Question
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)
Responses

6.25 ft.2
6.25 feet squared

12.5 ft.2
12.5 feet squared

37.5 ft.2
37.5 feet squared

200 ft.2

Answer 1

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

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

In this case, you have the volume \( V = 50 \) cubic feet and the height \( h = 4 \) feet.

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

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

Substituting in the values:

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

So the area of the base is:

12.5 ft² or 12.5 feet squared.