Answered

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A stone pyramid in Egypt has a square base that measures 158 m on each side. The height is 96 m. What is the volume of the pyramid?

Sagot :

Given:

The base of the pyramid is 158 m.

Height is 96 m

The volume of the Pyramid is given as,

[tex]\begin{gathered} V=\frac{1}{3}\times Area\text{ of the cross- section}\times height \\ V=\frac{1}{3}\times Area\text{ of the square}\times Height \\ V=\frac{1}{3}\times(s^2)\times h \\ V=\frac{1}{3}\times158^2\times96 \\ V=\frac{2396544}{3} \\ V=798848m^3 \end{gathered}[/tex]

Answer: The volume of the Pyramid is 798848 cubic meters.

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