Milk package

Milk is sold in a box with dimensions of 9.5 cm; 16.5 cm and 6.5 cm. Determine the maximum amount of milk that can fit into a box. Coating thickness is negligible.

Correct result:

V =  1.0189 l

Solution:

$$\begin{gathered} a=9.5\mathrm{/}10={\displaystyle \frac{19}{20}}=0.95\text{ dm } \\ b=16.5\mathrm{/}10={\displaystyle \frac{33}{20}}=1.65\text{ dm } \\ c=6.5\mathrm{/}10={\displaystyle \frac{13}{20}}=0.65\text{ dm } \\ 1l=1d{m}^3 \\ V=a\cdot b\cdot c=0.95\cdot 1.65\cdot 0.65=1.0189\text{ l} \end{gathered}$$

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