A sphere is inscribed inside a cube. The volume of the cube is 1728 $\text{cm}^3$ . What is the total surface area of the sphere?

Volume of cube = $1728 \text{ cm}^3$

So, side of cube = $12$ cm (because $12^3 = 1728$)

Sphere is inscribed in cube ⇒ diameter of sphere = side of cube
So, radius = $6$ cm

Surface area of sphere = $4\pi r^2$
$= 4\pi \times 6^2$
$= 4\pi \times 36$
$= 144\pi \text{ cm}^2$