Question
Volume of Right Rectangular Prisms Quick Check
3 of 53 of 5 Items
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
3 of 53 of 5 Items
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
Answers
GPT-4o mini
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**.
\[ V = \text{Base Area} \times \text{Height} \]
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**.
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