Cement foundation

How many kilograms of cement are used to concrete the foundations under the machine if the concrete slab has the shape of a cuboid 4.6 m long, 2.7 m wide, and 45 cm high if 250 kg of cement is used per 1 m³?

Final Answer:

m =  1397.25 kg

Step-by-step explanation:

$$\begin{gathered} a=4.6\text{m} \\ b=2.7\text{m} \\ c=45\text{cm}\to \text{m}=45:100\text{m}=0.45\text{m} \\ \rho =250{\text{kg/m}}^3 \\ V=a\cdot b\cdot c=4.6\cdot 2.7\cdot 0.45=5.589{\text{m}}^3 \\ m=\rho \cdot V=250\cdot 5.589=1397.25\text{kg} \end{gathered}$$

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