Cube-shaped box

The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.

Correct answer:

a =  12.5992 cm
S =  952.4406 cm²

Step-by-step explanation:

$$\begin{gathered} V=2\text{ l}\to {\text{cm}}^3=2\cdot 1000{\text{cm}}^3=2000{\text{cm}}^3 \\ V=a^3 \\ a=\sqrt[3]{V}=\sqrt[3]{2000}=12.5992\text{ cm} \end{gathered}$$

$S=6\cdot a^2=6\cdot 12.5992^2=952.4406{\text{cm}}^2$

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