A cube has edge lengths of 4 inches. What is the approximate length of a diagonal "d" of the cube?

1 answer

think of the main diagonal as the hypotenuse of a right triangle, where

the base is the diagonal along the base of the cube, and
the height is the height of the cube.

Now you can see that the main diagonal has length

d = √(4^2+4^2+4^2) = √48
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