Pyramid of Giza

The Great Pyramid of Giza has the shape of a regular quadrangular pyramid. The base edge is 227 m long and 140 m high. What is the weight of the stone needed to build this pyramid, if the weight of 1 m³ of stone is 2.5 t?

Correct result:

m =  6011717 t

Solution:

$$\begin{gathered} a=227\text{ m } \\ h=140\text{ m } \\ \rho =2.5{\text{t/m}}^3 \\ S=a^2=227^2=51529{\text{m}}^2 \\ V={\displaystyle \frac{1}{3}}\cdot S\cdot h={\displaystyle \frac{1}{3}}\cdot 51529\cdot 140\doteq 2404686.6667{\text{m}}^3 \\ m=\rho \cdot V=2.5\cdot 2404686.6667=6011717\text{ t} \end{gathered}$$

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