SOLUTION: a cube measures 5cm on each side. how long is the diagonal that connects 2 opposite corners of the cube?

Question 286392: a cube measures 5cm on each side. how long is the diagonal that connects 2 opposite corners of the cube?
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
a cube measures 5cm on each side. how long is the diagonal that connects 2 opposite corners of the cube?
one leg will be 5 cm (L1)
the other leg will be the hypotenuse of one side
L2 = sqrt(5^2 + 5^2) = sqrt(2*25)=5sqrt(2)
D diagonal = sqrt(L1^2 + L2^2)
D = sqrt(25 + 50) = sqrt(75) = sqrt(3*25)
D = 5sqrt(3)

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