The length of a diagonal of a cube with a side length of 10 cm would be 10√3 cm= square root of 300
How are sides of a cube and its diagonals are related?
Since a cube has its adjacent sides perpendicular to each other, thus, drawing a diagonal gives us two right-angled triangles, both congruent. Assuming that the length of the sides of a cube = a units, then,
by using the Pythagoras theorem, we get the length of its diagonal as:
[tex]D = a\sqrt{3} \: \rm units[/tex]
(positive root as D is the length of the diagonal and length is a non-negative quantity).
The length of a diagonal of a cube with a side length of 10 cm
the diagonal ^2
[tex]= 10^2\times 3\\\\= 10 \sqrt{3}[/tex]
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