math
posted by colton .
The pyramid of Giza in Egypt is built of stone and was completed in 2560 BC. The length of each side of the square base is 230 meters and the vertical height is 146 meters.
1. What volume of stone is needed to form a solid pyramid with these dimensions?
The surface of the pyramid was originally faced with limestone.
2. How many square meters of facing limestone were needed?

1. V = Ab*h/3. Ab = Area of the base.
V = (230)^2 * 146/3 = 2,574,467m^3.
2. Al = P*Hs / 2.
P = 4 * 230 = 920m = Perimeter of the base.
Hs^2 = (b/2)^2 + h^2,
Hs^2 = (230 / 2)^2 + (146)^2 = 34,541
Hs = 186m = Slant Height.
Al = 920 * 186 / 2 = 85,560m^2 = Lateal
area = Amount of limestone needed. 
How many square meters of facing limestone were needed?
Respond to this Question
Similar Questions

measurements
The great pyramid of Giza was built around 2560 BC. It was originally 481ft high with a square base measuring 751 ft on each side. It's slant height was 611 ft. Find the lateral surface area of the great pyramid, round your answer … 
geometry
The Great Pyramid of Giza was built around the year 2560 BC. It was originally 481 ft high with a square base measuring 751 ft on each side. Its slant height was 611ft. Find the lateral surface area of the Great Pyramid. Round your … 
math
how do I find the volume of a pyramid with a square base, 20 meters on each side, and a height of 21 meters 
AP calculus
The base of the Great Pyramid at Giza is a square that is 230 m on each side. 1.Find the height of the pyramid, knowing that when a person is standing at the center of its side he measures the angle of elevation of the apex to be 51 … 
GEOMETRY
ok so the question is The Great Pyramid at Giza has a sqaure base with sides if length 230 meters and a height of 146.7 meters ? 
GEOMETRY !
***Sorry i forgot to add the actual question The Great Pyramid at Giza has a sqaure base with sides of length 230 meters and a height of 146.7 meters What is the volume 
Math
the great pyramid of cheops is a square based pyramid with a height of 147 meters and a base length of 230 meters. find the angle to the nearest degree that one of the edges of the pyramid makes with the base 
math
Ira built a model of the Great Pyramid in Egypt for a school project. The Great Pyramid has a square base with sides of length 756 feet. The height of the Great Pyramid is 481 feet. Ira made his model pyramid using a scale of 1 inch:10 … 
math
Ira built a model of the Great Pyramid in Egypt for a school project. The Great Pyramid has a square base with sides of length 756 feet. The height of the Great Pyramid is 481 feet. Ira made his model pyramid using a scale of 1 inch:10 … 
Math
Ira built a model of the great pyramid in Egypt for a school project. The great pyramid had a square base with sides of length 756feet the height of the great pyramid is 481 feet Ira made his model pyramid using a scale of 1 inch :20 …