To determine the volume of the tent, you can use the formula for the volume of a rectangular prism (which applies to the tent):
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
The base of the tent is an 8 feet by 8 feet square.
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Calculate the area of the base: \[ \text{Base Area} = \text{Length} \times \text{Width} = 8 , \text{ft} \times 8 , \text{ft} = 64 , \text{ft}^2 \]
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Now multiply the base area by the height of the tent: \[ \text{Volume} = \text{Base Area} \times \text{Height} = 64 , \text{ft}^2 \times 8 , \text{ft} = 512 , \text{ft}^3 \]
Now we can compare the volume to Lena's requirement:
The tent has a volume of 512 cubic feet, which is greater than the required 200 cubic feet.
So the correct response is: Yes, the volume is 512 ft³.