Constructing 67634

During the construction of a 140-meter-long gas pipeline, a pit with vertical walls 1.5 m deep and 1 m wide must be created.

A) How many cubic meters of soil must be dug up?

B) We spread the excavated soil evenly on a field with dimensions of 70 m and 120 m. How high will the layer of new clay be on the court?

Correct answer:

V =  210 m³
h =  2.5 cm

Step-by-step explanation:

$$\begin{gathered} a=1.5\text{m} \\ b=1\text{m} \\ c=140\text{m} \\ V=a\cdot b\cdot c=1.5\cdot 1\cdot 140=210{\text{m}}^3 \end{gathered}$$

$$\begin{gathered} x=70\text{m} \\ y=120\text{m} \\ S=x\cdot y=70\cdot 120=8400{\text{m}}^2 \\ V=Sh \\ {h}_1=V/S=210/8400=\frac{1}{40}=0.025\text{m} \\ h=h_1\to \text{cm}=h_1\cdot 100\text{cm}=0.025\cdot 100\text{cm}=2.5\text{cm}=2.5\text{cm} \end{gathered}$$

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