Find the length of the diagonals of a cube if the sum of all its edges is 60

univerkov | April 24, 2021 | education

A cube has 12 edges, then the length of one edge is: AB = 60/12 = 5 cm.

Then AC = √ (AD ^ 2 + CD ^ 2) = √50 = 5 * √2 cm

CA1 = √ (AC ^ 2 + AA1 ^ 2) = √75 = 5 * √3 cm.

Answer: The length of the diagonal of the cube is 5 * √3 cm.

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