Use the volume formula to determine the volume of the pyramid at the Louvre Museum if it has a base that is 112 feet long on each side and has an altitude of 71 feet.(1 point)
Responses
296,874.67 ft.3
296,874.67 feet cubed
2,671,872 ft.3
2,671,872 feet cubed
890,624 ft.3
890,624 feet cubed
98.33 ft.3
To determine the volume of the pyramid, we can use the formula:
Volume = (1/3) * Base Area * Height
First, we need to calculate the area of the base. Since the base is a square, we can use the formula for the area of a square:
Base Area = (Side length)^2
Base Area = 112^2 = 12,544 square feet
Now, we can substitute the values into the volume formula:
Volume = (1/3) * 12,544 * 71
Volume = 4,181,344/3
Volume ≈ 1,393,781.33 ft^3
Therefore, the volume of the pyramid at the Louvre Museum is approximately 1,393,781.33 feet cubed.