Cube edges

Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube in a ratio of 1:2.

Correct answer:

a =  6 cm

Step-by-step explanation:

$$\begin{gathered} S=V \\ 6a^2=a^3 \\ 6a^2=a\cdot a^2 \\ a=6=6\text{cm} \\ V=a^3=6^3=216{\text{cm}}^3 \\ S=6\cdot a^2=6\cdot 6^2=216{\text{cm}}^2 \end{gathered}$$

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