Answer :

Given: Length of the diagonal of a cube is 6 √ 3 cm.


We know that the Length of a diagonal of a cube is given by: a√ 3 (here ‘a’ is edge length of cube)


a 3 = 6 3


a = 6cm


Edge length of the cube is 6cm.


Surface area of a cube is given by: 6a2 (here ‘a’ is the edge length)


Let ‘S’ be the surface area of the given Cube.


S = 6a2


S = 6 × (6)2


S = 216 cm2


Surface area of the given cube is 216 cm2

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