Question
Lena is looking for a new tent to go camping. She wants one with a volume of at least 200 cubic feet. The tent she is considering is 8 feet tall with a base of 8 feet by 8 feet. Will this tent have a large enough volume?(1 point)
Responses
No, the volume is only 170.67 ft3
.
No, the volume is only 170.67 feet cubed .
Yes, the volume is 1,536 ft3
.
Yes, the volume is 1,536 ft cubed .
No, the volume is only 24 ft3
.
No, the volume is only 24 ft cubed .
Yes, the volume is 512 ft3
.
Responses
No, the volume is only 170.67 ft3
.
No, the volume is only 170.67 feet cubed .
Yes, the volume is 1,536 ft3
.
Yes, the volume is 1,536 ft cubed .
No, the volume is only 24 ft3
.
No, the volume is only 24 ft cubed .
Yes, the volume is 512 ft3
.
Answers
GPT-4o mini
To calculate the volume of the tent, we can use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
The base of the tent is 8 feet by 8 feet, so the base area is:
\[
\text{Base Area} = 8 \, \text{ft} \times 8 \, \text{ft} = 64 \, \text{ft}^2
\]
The height of the tent is 8 feet. Therefore, the volume of the tent is:
\[
\text{Volume} = 64 \, \text{ft}^2 \times 8 \, \text{ft} = 512 \, \text{ft}^3
\]
Since 512 cubic feet is greater than 200 cubic feet, the tent does have a large enough volume.
The correct response is: **Yes, the volume is 512 ft³.**
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
The base of the tent is 8 feet by 8 feet, so the base area is:
\[
\text{Base Area} = 8 \, \text{ft} \times 8 \, \text{ft} = 64 \, \text{ft}^2
\]
The height of the tent is 8 feet. Therefore, the volume of the tent is:
\[
\text{Volume} = 64 \, \text{ft}^2 \times 8 \, \text{ft} = 512 \, \text{ft}^3
\]
Since 512 cubic feet is greater than 200 cubic feet, the tent does have a large enough volume.
The correct response is: **Yes, the volume is 512 ft³.**