The base of a pyramid covers an area of 13.0 acres (1 acre = 43,560 ft2) and has a height of 481 ft. if the volume of a pyramid is given by the expression v = (1/3)bh, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters.

2570987.31 m³

Explanation:

Base area = 13 acres = b

Converting to ft²

1 acre = 43,560 ft²

⇒13 acre = 566280 ft²

Height of pyramid = 481 ft = h

Volume

Converting to cubic meters

1 ft = 0.3048 m

⇒1 ft³ = 0.3048×0.3048×0.3048 m³

⇒1 ft³ =  0.3048³ m³

90793560 ft³ = 90793560×0.3048³

⇒90793560 ft³ = 2570987.31 m³

∴ Volume of this pyramid is 2570987.31 m³

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