Road excavation volume

When building a new road, excavating a 280 m long road in the ground was necessary. The bottom width, where the road runs, was 20 m wide. At the top, the entire excavation was 30 m wide. The depth of the excavation is 6 m. How much m³ of soil had to be removed?

Final Answer:

V =  42000 m³

Step-by-step explanation:

$$\begin{gathered} l=280\text{m} \\ a=20\text{m} \\ c=30\text{m} \\ h=6\text{m} \\ S=\frac{a+c}{2}\cdot h=\frac{20+30}{2}\cdot 6=150{\text{m}}^2 \\ V=S\cdot l=150\cdot 280=42000{\text{m}}^3 \end{gathered}$$

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