Kilograms 66864

The sculptor composes an ice city from ice cubes. The cube with an edge length of 2 dm weighs 7.2 kg.
How many kilograms is an ice cube with an edge length of 6 dm heavier than it?

Correct answer:

x =  187.2 kg

Step-by-step explanation:

$$\begin{gathered} a=2\text{dm} \\ {m}_1=7.2\text{kg} \\ {V}_1=a^3=2^3=8{\text{dm}}^3 \\ \rho =m_1/V_1=7.2/8=\frac{9}{10}=0.9{\text{kg/dm}}^3 \\ b=6\text{dm} \\ {V}_2=b^3=6^3=216{\text{dm}}^3 \\ {m}_2=\rho \cdot V_2=0.9\cdot 216=\frac{972}{5}=194.4\text{kg} \\ x=m_2-m_1=194.4-7.2=187.2\text{kg} \end{gathered}$$

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