Question

If a diagonal of one face of a cube is 8√6cm.find it's lateral surface area

Answer 1

diagonal of square = Sq. root 2*side
so,
$8 \sqrt{6} = \sqrt{2} a \\ a = 8 \sqrt{6 \times 2 } \\ a = 16 \sqrt{3} {cm}^{2}$
LSA= 4*a*a
=4*256*3
=12*256
=3072