SOLUTION: Hello. Find the length of a diagonal of a cube that has edges of length 6 in. I though I could use {{{ a^2 + b^2 = c^2 }}} (i.e. {{{ 36+36=c^2 = 8.485}}} ) but sheet says the

Algebra ->  Formulas -> SOLUTION: Hello. Find the length of a diagonal of a cube that has edges of length 6 in. I though I could use {{{ a^2 + b^2 = c^2 }}} (i.e. {{{ 36+36=c^2 = 8.485}}} ) but sheet says the      Log On


   



Question 197513: Hello.
Find the length of a diagonal of a cube that has edges of length 6 in.
I though I could use +a%5E2+%2B+b%5E2+=+c%5E2+ (i.e. +36%2B36=c%5E2+=+8.485 ) but sheet says the answer is 10.3923 NOT 8.485. can someone please help.
thanks.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of a diagonal of a cube that has edges of length 6 in.
I though I could use +a%5E2+%2B+b%5E2+=+c%5E2+ (i.e. +36%2B36=c%5E2+=+8.485 ) but sheet says the answer is 10.3923 NOT 8.485
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That, 8.485, is the diagonal on one of the faces, from corner to corner.
For a cube's diagonal from opposite vertices, it's
d^2 = a^2+b^2+c^2, or 3*6^2 since all edges are 6 inches.
d^2 = 108
d = ~ 10.3923