The cuboid

The cuboid is filled to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid?

Correct result:

V =  514.25 l

Solution:

$$\begin{gathered} a=95\text{ cm}\to \text{ dm}=95\mathrm{/}10\text{ dm}=9.5\text{ dm } \\ b=120\text{ cm}\to \text{ dm}=120\mathrm{/}10\text{ dm}=12\text{ dm } \\ c=60\text{ cm}\to \text{ dm}=60\mathrm{/}10\text{ dm}=6\text{ dm } \\ d=5\text{ cm}\to \text{ dm}=5\mathrm{/}10\text{ dm}=0.5\text{ dm } \\ V=(a-2\cdot d)\cdot (b-2\cdot d)\cdot (c-d)=(9.5-2\cdot 0.5)\cdot (12-2\cdot 0.5)\cdot (6-0.5)={\displaystyle \frac{2057}{4}}={\displaystyle \frac{2057}{4}}\text{ l}=514.25\text{ l} \end{gathered}$$

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