Cube wall

The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Determine the length of the edge of the second cube (x).

Correct answer:

x =  2.0656 m

Step-by-step explanation:

$$\begin{gathered} S_1=64{\text{m}}^2 \\ q=40\mathrm{\%}={\displaystyle \frac{40}{100}}=0.4 \\ {S}_2=q\cdot S_1=0.4\cdot 64={\displaystyle \frac{128}{5}}=25.6{\text{m}}^2 \\ {S}_2=6x^2 \\ x=\sqrt{S_2\mathrm{/}6}=\sqrt{25.6\mathrm{/}6}=2.0656\text{ m} \end{gathered}$$

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