Railway wagon

The railway wagon holds 75 m³ load. Wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon?

b) what amount of peat (density 350 kg/m3) can carry 15 wagons?

Correct result:

h =  400 kg/m³
b =  393750 kg

Solution:

$$\begin{gathered} V=75 \\ m=30\cdot 1000=30000 \\ h=m\mathrm{/}V=30000\mathrm{/}75=400{\text{kg/m}}^3 \end{gathered}$$

$$\begin{gathered} h_2=350 \\ {h}_2<h \\ a=V\cdot h_2=75\cdot 350=26250 \\ b=15\cdot a=15\cdot 26250=393750\text{ kg} \end{gathered}$$

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