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Find the face diagonal $ f $ of a cube if side $a = 100\, \text{cm}$ and body diagonal $d = 100\, \text{cm}$.
Answer
$100 \sqrt{ 2 }\, \text{cm}$
Explanation
To find face diagonal $ f $ use formula:
$$ f = \sqrt{ 2 } \cdot a $$
After substituting $a = 100\, \text{cm}$ we have:
$$ f = \sqrt{ 2 } \cdot 100\, \text{cm} $$ $$ f = 100 \sqrt{ 2 }\, \text{cm} $$
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