Approximately 44981

The largest Egyptian pyramid has the shape of a regular four-sided pyramid with a base edge of approximately 227 meters and a height of about 140 meters. How many tons of stone did the workers transport to build it? One cube of stone weighs 2500 kg and neglects the corridors and rooms inside the pyramid.

Correct answer:

m =  6011717 t

Step-by-step explanation:

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

Try another example