Question

if the diagonal of the cube is 2√3 .Find its side​

Answer 1

Answer:

in a cube all sides are equal  and all angles are 90°

so we can consider that diagonal of a cube is hyportenuse of a right angled triangle.

by pythagoras theorm

(base)²+(height)²=(hypotenuse)²

as base and height are equal

 x²+x² = (2√3)²

  2x²  = 4×3

 2x²  = 12

    x²  = 12/2

   x²  = 6

   x =√6

hence √6 is the side of the cube

Answer 2

Step-by-step explanation:

=> Diagonal of a cube 2√×sides

=> 2×√3= 2√×sides

=> side = √6

=> volume of cube= side³

=> √216

This is your answer.