Excavation 8581

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

Correct 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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