Concrete box

The concrete box with walls thick 6 cm has the following external dimensions: length 1.6 m, width 39 cm, and height 32 cm. How many liters of soil can fit if I fill it to the brim?

Correct answer:

x =  103.9 l

Step-by-step explanation:

$$\begin{gathered} a=1.6\text{m}\to \text{dm}=1.6\cdot 10\text{dm}=16\text{dm} \\ b=39\text{cm}\to \text{dm}=39:10\text{dm}=3.9\text{dm} \\ c=32\text{cm}\to \text{dm}=32:10\text{dm}=3.2\text{dm} \\ h=6\text{cm}\to \text{dm}=6:10\text{dm}=0.6\text{dm} \\ 1d{m}^3=1l \\ x=(a-2\cdot h)\cdot (b-2\cdot h)\cdot (c-h)=(16-2\cdot 0.6)\cdot (3.9-2\cdot 0.6)\cdot (3.2-0.6)=103.9\text{l} \end{gathered}$$

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