Question

diagonal of a cube √6cm then its lateral surface area is

Answer 1

√3 a = √6
a= √2 cm

lsa of cube = 4a² = 4(2) = 8 cm ³

Answer 2

Hey mate !!

Here's the answer !!

We know that,

Diagonal of cube = √ 3 * edge of the cube ( a )

Hence,

√ 3 a = √ 6

Squaring on both sides, we get

= 3a² = 6

=> a² = 6 / 3 = 2

=> a = √ 2 cm

Hence edge of cube = √ 2 cm.

We also know that, 

Lateral surface area = 4a²

=> LSA = 4 * ( √ 2 )²

=> LSA = 4 * 2 = 8 cm²

Hence Lateral Surface Area of the cube is 8 cm².

Hope my answer helped !!

Cheers !!