# Cube edges

The sum of the lengths of the cube edges is 42 cm. Calculate the surface of the cube.

Result

S =  73.5 cm2

#### Solution:

$s=42 \ \text{cm} \ \\ n=3 \cdot \ 4=12 \ \\ a=s/n=42/12=\dfrac{ 7 }{ 2 }=3.5 \ \text{cm} \ \\ \ \\ S=6 \cdot \ a^2=6 \cdot \ 3.5^2=\dfrac{ 147 }{ 2 }=73.5 \ \text{cm}^2$

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