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27 November, 00:45

The great pyramid outside cairo, Egypt has a square base measuring 756 feet on a side and a height of 480 feet. what is the volume of the great pyramid in cubic yards?

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  1. 27 November, 01:58
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    First thing that needs to be done is to calculate for the area of the base which is in form of a square. The area is square is calculated through the equation,

    A = s²

    where A is area and s is the length of the sides.

    Substituting the known values,

    A = (756 ft) ²

    A = 571,536 ft²

    The prism in which this pyramid can be enclosed has a volume that can be calculated through the equation.

    Volume = area of base x height

    Substituting,

    Volume = (571,536 ft²) (480 ft)

    Volume = 274337280 ft³

    The volume of the pyramid is equal to one-third (1/3) of the volume of the prism. Thus,

    Volume of pyramid = (274337280 ft³) / 3

    Volume of pyramid = 91445760 ft³

    Thus, the volume of the pyramid is equal to 91,445,760 ft³.
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