Iceberg

What is the surface area of 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg?

Correct answer:

S =  3 m²

Step-by-step explanation:

$$\begin{gathered} h=50\text{ cm}\to \text{ m}=50\mathrm{/}100\text{ m}=0.5\text{ m } \\ m=120\text{ kg } \\ {\rho }_1=1000{\text{kg/m}}^3 \\ {\rho }_2=920{\text{kg/m}}^3 \\ \rho ={\rho }_1-{\rho }_2=1000-920=80{\text{kg/m}}^3 \\ m=\rho V \\ V=m\mathrm{/}\rho =120\mathrm{/}80={\displaystyle \frac{3}{2}}=1.5{\text{m}}^3 \\ V=Sh \\ S=V\mathrm{/}h=1.5\mathrm{/}0.5=3{\text{m}}^2 \end{gathered}$$

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