Problema Solution
The Great Pyramid outside Cairo, Egypt, has a square base measuring 756 feet on a side and a height of 480 feet.
a.) What is the volume of the Great Pyramid, in cubic yards?
b.) The stones used to build the Great Pyramid were limestone blocks with an average volume of 1.5 cubic yards. How many of these blocks were needed to construct the Great Pyramid?
Answer provided by our tutors
let
1 yard = 3 ft
1 ft = (1/3) yard
a = 756 ft = 756*(1/3) yards the length of the side of the square base
h = 480 ft = 480*(1/3) yards the height of the pyramid
a.) the volume of the pyramid V = (a^2*h)/3 = (a^2*h)(1/3)
V = (756*(1/3))^2*480*(1/3)*(1/3)
V = 3,386,880 cubic yards
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b.) the average volume of a limestone block is v1 = 1.5 cubic yards
the total number of blocks needed is (total volume of the pyramid)/(the volume of 1 block)
V/v1 = 3,386,880/1.5 = 2,257,920 limestone blocks.