Cube wall

Calculate the cube's diagonal diagonal if you know that the surface of one wall is equal to 36 centimeters square. Please also calculate its volume.

Result

u =  10.392 cm
V =  216 cm3

Solution:

$S_{1}=36 \ \text{cm}^2 \ \\ a=\sqrt{ S_{1} }=\sqrt{ 36 }=6 \ \\ u=\sqrt{ 3 } \cdot \ a=\sqrt{ 3 } \cdot \ 6 \doteq 6 \ \sqrt{ 3 } \doteq 10.3923 \doteq 10.392 \ \text{cm}$
$V=a^3=6^3=216 \ \text{cm}^3$

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