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

37.5 ft.2
37.5 feet squared

200 ft.2
200 feet squared

12.5 ft.2
12.5 feet squared

6.25 ft.2

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To find the area of the base of the rectangular prism, we will use the formula for the volume of a rectangular prism. The formula is:

Volume = length x width x height

We are given that the volume is 50 cubic feet and the height is 4 feet. Let's assume the length is x and the width is y.

50 = x * y * 4

To find the area of the base, we need to solve for x and y first. Let's divide both sides of the equation by 4:

12.5 = x * y

Now we can find the area of the base by multiplying x and y:

Area of base = x * y = 12.5 ft^2

Therefore, the correct answer is 12.5 ft^2.

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