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

Yes, the volume is 512 ft3
.
Yes, the volume is 512 ft cubed .

Yes, the volume is 1,536 ft3
.
Yes, the volume is 1,536 ft cubed .

No, the volume is only 170.67 ft3
.
No, the volume is only 170.67 feet cubed .

No, the volume is only 24 ft3
.

1 answer

To determine the volume of the tent, we can use the formula for the volume of a rectangular prism, which is:

\[ \text{Volume} = \text{Base Area} \times \text{Height} \]

The base of the tent is 8 feet by 8 feet, so the area of the base is:

\[ \text{Base Area} = 8 , \text{ft} \times 8 , \text{ft} = 64 , \text{ft}^2 \]

The height of the tent is 8 feet. So, 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 the 200 cubic feet Lena is looking for, we can conclude that the tent will indeed have a large enough volume.

The correct response is:

Yes, the volume is 512 ft³.