Cube walls

Find the volume and the surface area of the cube if the area of one of its walls is 40 cm².

Correct answer:

V =  252.9822 cm³
S =  240 cm²

Step-by-step explanation:

$$\begin{gathered} S_1=40{\text{cm}}^2 \\ a=\sqrt{S_1}=\sqrt{40}=2\sqrt{10}\text{ cm}\doteq 6.3246\text{ cm } \\ V=a^3=6.3246^3=80\sqrt{10}=252.9822{\text{cm}}^3 \end{gathered}$$

$S=6\cdot S_1=6\cdot 40=240{\text{cm}}^2$

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