SOLUTION: A new pyramid has been found in South America. The pyramid has a rectangular base that measures 62 yd by 180 yd, and has a height of 100 yd. The pyramid is not hollow like the Egy

Question 37170: A new pyramid has been found in South America. The pyramid has a rectangular base that measures 62 yd by 180 yd, and has a height of 100 yd. The pyramid is not hollow like the Egyptian pyramids and is composed of layer after layer of cut stone. The stone weighs 432 lb per cubic yard. How many pounds does the pyramid weigh?

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The formula for the volume of a pyramid is
V = 1/3 Bh where B is the area of the base. Thus
V = 1/3(62)(180)(100) = 372000 cubic yards (if the pyramid is solid)
Now the density (D = M/V) is given as 432 lbs/cu yd so the weight (mass) is
W = VD = 372000 x 432 = 160,704,000 pounds
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