Question

As sphere is inscribed in a cube that has surface area of 24 cm2

. A second cube is then inscribed within
the sphere. The surface area of the inner cube (in cm2
) is

Answer 1

$6 {a}^{2} = 24 \\ {a}^{2} = 4 \\ a = 2 \\ \: now \: \\ \: 2 = \sqrt{3}b \\ b = \frac{2}{ \sqrt{3} } \\ hence \: 6 {b}^{2} = 6 \times \frac{4}{3} = 8$

Answer 2

8 will be the answer.......
.........