Answer to Question #84663 in Mechanics | Relativity for John

Question

A pyramid has a height of 516 ft and its base covers an area of 15.0 acres (see figure below). 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. (1 acre = 43,560 ft2)

Answer 1

Let's find the volume of the pyramid:

$$V = \frac{1}{3} bh,$$ $$V = \frac{1}{3} \cdot 15.0 acr \cdot \frac{43560 ft^2}{1 acr} \cdot 516 ft = 112384800 ft^3 \cdot \frac{0.02832 m^3}{1 ft^3} = 3182737.54 m^3.$$

Answer:

$$V = 3182737.54 m^3$$

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