The excavation

The excavation for the city sewer was 38 m long, 2.2 m wide, and 3 m deep.

a) How many cubic meters of soil were dredged
b) How many journeys had to be made by one car when removing the soil, if they loaded an average of 4.5 m of cubic soil on each journey?

Correct result:

V =  250.8 m³
n =  56

Solution:

$$\begin{gathered} a=38\text{ m } \\ b=2.2\text{ m } \\ c=3\text{ m } \\ V=a\cdot b\cdot c=38\cdot 2.2\cdot 3={\displaystyle \frac{1254}{5}}={\displaystyle \frac{1254}{5}}{\text{m}}^3=250.8{\text{m}}^3 \end{gathered}$$

$$\begin{gathered} V_1=4.5{\text{m}}^3 \\ n=V\mathrm{/}{V}_1=250.8\mathrm{/}4.5={\displaystyle \frac{836}{15}}=56 \end{gathered}$$

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