Road embankment

Road embankment has a cross-section shape of an isosceles trapezoid with bases 5 m and 7 m and 2 m long leg. How many cubic meters of soil is in an embankment length of 1474 meters?

Correct answer:

x =  15318.26 m³

Step-by-step explanation:

$$\begin{gathered} {v}^2=b^2-\frac{a-c}{2} \\ v=\sqrt{b^2-\frac{a-c}{2}}=\sqrt{b^2-\frac{a-c}{2}}=1.73m \\ S=\frac{a+c}{2}v=10.39m^2 \\ V=S\cdot l=10.39\cdot 1474=15318.26{\text{m}}^3 \end{gathered}$$

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