Cast iron cube

What is the mass of a cube of cast iron with an edge length of 2.3 dm if we know that the mass of 1 dm³ of cast iron is 7.3 kg? Will the same size cube of cork be heavier if we know that the weight of 1 m³ of cork is 250 kg?

Final Answer:

m₁ =  88.8191 kg
m₂ =  3.0418 kg

Step-by-step explanation:

$$\begin{gathered} a=2.3\text{dm} \\ V=a^3=2.3^3=12.167{\text{dm}}^3 \\ {m}_1=7.3\cdot V=7.3\cdot 12.167=88.8191\text{kg} \end{gathered}$$

$$\begin{gathered} \rho =250/1000=\frac{1}{4}=0.25{\text{kg/dm}}^3 \\ {m}_2=\rho \cdot V=0.25\cdot 12.167\doteq 3.0418 \\ {m}_2=m_1>m_2=3.0418\text{kg} \end{gathered}$$

Try another example