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.