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.