Question

What is a formulae for a diagonal of a cube?

Answer 1

D= $\sqrt{3} a$ where a is the side of the cube.

Answer 2

Heya !!

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Diagonal of a cube = a√3

EXPLANATION :-

Each side of a cube = a

By Pythagorean Theorem,
we get the diagonal across the base

a² + a² = h²

Again using Pythagorean theorem to get cube's diagonal ,

h² + a² = d²

=> a² + a² + a² = d²

=> 3a² = d²

=> d = √3a²

=> d = a√3

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Hope my ans.'s satisfactory.☺