Cross-section 5048

A path will lead to an embankment across the floodplain. The embankment will be 2 km long and have the shape of an isosceles trapezoid in cross-section with base lengths of 12 m and 8 m and a height of 2 m. Calculate the volume of material needed to build the embankment.

Correct answer:

V =  40000 m³

Step-by-step explanation:

$$\begin{gathered} l=2000\text{m} \\ a=12\text{m} \\ c=8\text{m} \\ h=2\text{m} \\ S=\frac{a+c}{2}\cdot h=\frac{12+8}{2}\cdot 2=20{\text{m}}^2 \\ V=S\cdot l=20\cdot 2000=40000{\text{m}}^3 \end{gathered}$$

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