I have homework.
The cube has an edge 7 cm long and I must find wall and body diagonal.

Correct result:

d1 =  9.9 cm
d2 =  12.124 cm

#### Solution:

$d_1 = \sqrt{ a^2 + a^2 } = \sqrt{2} a = \sqrt{2} \cdot 7 = 9.9 \ \text{cm}$
$d_2 = \sqrt{ d_1^2 + a^2 } = \sqrt{ 2 a^2 + a^2 } = \sqrt{3} a = \sqrt{3} \cdot 7 = 12.124 \ \text{cm}$

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