Bricks

A brick has a volume of 2.4 dm³. How many bricks can a truck with a carrying capacity of 15 tonnes transport? The density of brick is 2 g/cm³.

Final Answer:

n =  3125

Step-by-step explanation:

$$\begin{gathered} V=2.4{\text{dm}}^3\to {\text{m}}^3=2.4:1000{\text{m}}^3=0.0024{\text{m}}^3 \\ M=15\text{t}\to \text{kg}=15\cdot 1000\text{kg}=15000\text{kg} \\ \rho =2{\text{g/cm}}^3\to {\text{kg/m}}^3=2\cdot 1000{\text{kg/m}}^3=2000{\text{kg/m}}^3 \\ {m}_1=\rho \cdot V=2000\cdot 0.0024=\frac{24}{5}=4\frac{4}{5}=4.8\text{kg} \\ {n}_1=M/m_1=15000/4.8=3125 \\ n=\lfloor n_1\rfloor =\lfloor 3125\rfloor =3125 \end{gathered}$$

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