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a new pyramid has been found in south america. the pyramid has a rectangular base that measures by 180 yd, and has a height of 90 yd. the pyramid is not hollow like the egyptian pyramids and is composed of layer after layer of cut stone. the stone weighs 456 lb per cubic yard. how many pounds does the pyramid weigh?



Answer :

sqdancefan

Answer:

  443,232,000 lb

Step-by-step explanation:

You want the weight in pounds of a pyramid 180 yd square and 90 yd high made of material weighing 456 lb/cubic yard.

Volume

The volume of the pyramid is given by the formula ...

  V = 1/3s²h . . . . . . . . where s is the side length and h is the height

  V = 1/3(180 yd)²(90 yd) = 972000 yd³

Weight

At a weight of 456 pounds per cubic yard, the weight of the pyramid is estimated to be ...

  (456 lb/yd³)×(972,000 yd³) = 443,232,000 lb

The pyramid weighs about 443,232,000 pounds.

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Additional comment

At 456 lb per cubic yard, the stone is less dense than most wood and will float high in water.

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