A tent is shaped like a pyramid. It has a square base measuring 8 feet on a side and a height of 6 feet. What is the volume of the tent?
Length_of_base * Width_of_base * Height * 1/3
8 * 8 * 6 * 1/3 = 128 cubic feet
128
To calculate the volume of the tent, you can use the formula for the volume of a pyramid:
Volume = (1/3) * Base Area * Height
Given that the tent has a square base measuring 8 feet on each side and a height of 6 feet, we can calculate the volume as follows:
Base Area = Side length * Side length
= 8 ft * 8 ft
= 64 ft^2
Volume = (1/3) * 64 ft^2 * 6 ft
= (1/3) * 384 ft^3
= 128 ft^3
Therefore, the volume of the tent is 128 cubic feet.
To calculate the volume of a pyramid, we can use the formula:
Volume = (1/3) × base area × height
In this case, the tent is shaped like a pyramid with a square base, so the base area can be calculated by multiplying the length of the base by its width. The height of the tent is given as 6 feet.
Step 1: Calculate the base area
The base of the tent is a square with sides measuring 8 feet each. To find the area, multiply the length (8 feet) by the width (8 feet):
Base area = 8 feet × 8 feet = 64 square feet
Step 2: Calculate the volume
Using the formula, plug in the base area and the height:
Volume = (1/3) × 64 square feet × 6 feet
Volume = (1/3) × 384 cubic feet
Volume ≈ 128 cubic feet
Therefore, the volume of the tent is approximately 128 cubic feet.