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. 296,874.67 ft^3
2. 890,624 ft^3
3. 2,671,872 ft^3
4. 98.33 ft^3
To find the volume of a pyramid, we can use the formula V = (1/3) * B * h, where V is the volume, B is the base area, and h is the height or altitude of the pyramid.
First, let's find the base area. Since the base of the pyramid is a square with each side measuring 112 feet, the area of the base can be found by squaring the length of one side: B = 112^2 = 12,544 square feet.
Next, we can substitute the values into the volume formula: V = (1/3) * 12,544 * 71 = 296,875.33 cubic feet.
Therefore, the volume of the pyramid at the Louvre Museum is approximately 296,875.33 ft^3, which is closest to option 1.