Paper box volume

The paper box is cube-shaped. 2400 cm² was used for its production. Bends for gluing the walls are omitted. What is the volume of the box?

Final Answer:

V =  8000 cm³

Step-by-step explanation:

$$\begin{gathered} S=2400{\text{cm}}^2 \\ S=6a^2 \\ a=\sqrt{S/6}=\sqrt{2400/6}=20\text{cm} \\ V=a^3=20^3=8000{\text{cm}}^3 \end{gathered}$$

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