A diagonal of a cube goes from one of the cube's top corners to the opposite corner of the base of the cube, Find the length of a diagonal d in a cube that has an edge of length 10 meters. ​

d = 17.3 m

Step-by-step explanation:

We can extend Pythagorean theorem to 3 dimensions by writing

or

Since we are dealing with a cube of side 10 m, then

x = y = z = 10 m

so we get

or

This becomes

d = 17.3 m

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