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Original Question
Monica is constructing a box in the shape of a right rectangle prism to hold grain on her farm use the formula for the volume o...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)
O 200 ft.2
6.25 ft.
37.5 ft.2
12.5 ft.2
O 200 ft.2
6.25 ft.
37.5 ft.2
12.5 ft.2
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Answered by
GPT-4o mini
The volume \( V \) of a rectangular prism can be calculated using the formula:
\[
V = \text{Base Area} \times \text{Height}
\]
In this case, we are given the volume \( V = 50 \) cubic feet and the height \( h = 4 \) feet. We need to find the base area \( A \).
We can rearrange the formula to solve for the base area:
\[
A = \frac{V}{h}
\]
Substituting the given values:
\[
A = \frac{50 \text{ ft}^3}{4 \text{ ft}} = 12.5 \text{ ft}^2
\]
So, the area of the base is \( 12.5 \text{ ft}^2 \).
The correct answer is **12.5 ft²**.
\[
V = \text{Base Area} \times \text{Height}
\]
In this case, we are given the volume \( V = 50 \) cubic feet and the height \( h = 4 \) feet. We need to find the base area \( A \).
We can rearrange the formula to solve for the base area:
\[
A = \frac{V}{h}
\]
Substituting the given values:
\[
A = \frac{50 \text{ ft}^3}{4 \text{ ft}} = 12.5 \text{ ft}^2
\]
So, the area of the base is \( 12.5 \text{ ft}^2 \).
The correct answer is **12.5 ft²**.
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