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)

Question

Responses

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

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

Answer 1

To calculate the volume of a tent (which can be considered a rectangular prism), we use the formula:

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

1. Calculate the base area:

   • The base is an 8 feet by 8 feet square.
   • Base Area = Length × Width = 8 ft × 8 ft = 64 ft²

2. Multiply the base area by the height:

   • Height = 8 feet
   • Volume = Base Area × Height = 64 ft² × 8 ft = 512 ft³

Since the volume of the tent is 512 cubic feet and Lena wants a tent with a volume of at least 200 cubic feet, the tent she is considering meets her requirement.

The correct response is: Yes, the volume is 512 ft³.