Excavation car transport

How many cars will the dirt be transported in an excavation 10 m long, 11 m deep, and 70 cm wide if the load capacity of each used
car is 2 tons? The clay density is 1,800 kg/m².

Final Answer:

n =  70

Step-by-step explanation:

$$\begin{gathered} a=10\text{m} \\ b=11\text{m} \\ c=70\text{cm}\to \text{m}=70:100\text{m}=0.7\text{m} \\ V=a\cdot b\cdot c=10\cdot 11\cdot 0.7=77{\text{m}}^3 \\ \rho =1800{\text{kg/m}}^3 \\ m=\rho \cdot V=1800\cdot 77=138600\text{kg} \\ {m}_1=2\text{t}\to \text{kg}=2\cdot 1000\text{kg}=2000\text{kg} \\ n=\lceil m/m_1\rceil =\lceil 138600/2000\rceil =70 \end{gathered}$$

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