Pharaoh

Kleomurapi is a pharaoh. Yesterday, his pyramid builders complained to him that their backs hurt from lifting stones. So the pharaoh had a ramp built that was 6 meters long, 2 meters wide, and 1.5 meters high to make it easier for the builders to reach the second floor of the pyramid. How many cubic meters of building material were used for the ramp?

Correct answer:

V =  8.7142 m³

Step-by-step explanation:

$$\begin{gathered} a=6\text{m} \\ s=2\text{m} \\ y=1.5\text{m} \\ {a}^2=y^2+x^2 \\ x=\sqrt{a^2-y^2}=\sqrt{6^2-1.5^2}\doteq 5.8095\text{m} \\ {V}_1=x\cdot s\cdot y=5.8095\cdot 2\cdot 1.5\doteq 17.4284{\text{m}}^3 \\ V=\frac{V_1}{2}=\frac{17.4284}{2}=8.7142{\text{m}}^3 \end{gathered}$$

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