# Cube surface and volume

Find the surface of the cube with a volume of 27 dm3.

Result

S =  54 dm2

#### Solution:

$V = 27 \ dm^3 \ \\ a = \sqrt[3]{ V} = \sqrt[3]{ 27 } = 3 \ dm \ \\ \ \\ S = 6 \cdot \ a^2 = 6 \cdot \ 3^2 = 54 = 54 \ dm^2$

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