# Cube diagonals

Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.

Result

a =  3 cm
u1 =  4.243 cm
u2 =  5.196 cm

#### Solution:

$V=27 \ \text{cm}^3 \ \\ a=\sqrt[3]{ V}=\sqrt[3]{ 27 }=3 \ \text{cm}$
$u_{1}=\sqrt{ 2 } \cdot \ a=\sqrt{ 2 } \cdot \ 3 \doteq 3 \ \sqrt{ 2 } \doteq 4.2426 \doteq 4.243 \ \text{cm}$
$u_{2}=\sqrt{ 3 } \cdot \ a=\sqrt{ 3 } \cdot \ 3 \doteq 3 \ \sqrt{ 3 } \doteq 5.1962 \doteq 5.196 \ \text{cm}$

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