krazyanimalgirl
krazyanimalgirl krazyanimalgirl
  • 26-07-2018
  • Mathematics
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sqdancefan
sqdancefan sqdancefan
  • 07-08-2018

The Pythagorean theorem tells you the length of a face diagonal satisfies the relation

... (face diagonal)² = (5 in)² + (5 in)² = 50 in²

It also tells you the length of the space diagonal satisfies the relation

... (space diagonal)² = (5 in)² + (face diagonal)²

Substituting for the face diagonal term, we have

... (space diagonal)² = 25 in² + 50 in² = 75 in²

Taking the square root gives

... space diagonal = √(75 in²)

... space diagonal = 5√3 in ≈ 8.7 in

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