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?

Answer 1

To calculate the volume of the tent, we can use the formula for the volume of a rectangular prism (which is what the tent essentially is), given by:

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

1. Calculate the base area of the tent. The base is a square with side lengths of 8 feet: \[ \text{Base Area} = \text{length} \times \text{width} = 8 , \text{ft} \times 8 , \text{ft} = 64 , \text{square feet} \]

2. Calculate the volume using the height of the tent (8 feet): \[ \text{Volume} = \text{Base Area} \times \text{Height} = 64 , \text{square feet} \times 8 , \text{ft} = 512 , \text{cubic feet} \]

Now, we compare the tent's volume with Lena's requirement:

• The calculated volume of the tent is 512 cubic feet.
• Lena needs at least 200 cubic feet.

Since 512 cubic feet is greater than 200 cubic feet, the tent will indeed have a large enough volume for Lena's needs.