Answer:
The volume of the pyramid is approximately 25,920,000 cubic feet.
Explanation:
The Great Pyramid of Khufu is one of the most famous pyramids in Egypt, located in Giza. Its original height was 146.7 meters (481 feet), but due to erosion and the loss of its outer casing, it now stands at a height of 138.8 meters (455 feet). The base of the pyramid is a square with sides measuring 230.4 meters (755.9 feet).
To find the volume of the pyramid, we can use the formula:
V = (1/3)Bh
where V is the volume, B is the area of the base, and h is the height of the pyramid.
First, we need to convert the dimensions of the pyramid to feet. The height of the pyramid is 455 feet, and the base of the pyramid is a square with sides of 755.9 feet.
The area of the base is:
B = side^2 = (755.9 ft)^2 = 571536.81 sq ft
The volume of the pyramid is:
V = (1/3)Bh = (1/3) × 571536.81 sq ft × 455 ft ≈ 2.592 × 10^7 cubic feet
Therefore, the dimensions of the Great Pyramid of Khufu are approximately 755.9 feet for each side of the base, and 455 feet for the height. The volume of the pyramid is approximately 25,920,000 cubic feet.