A cube of side 10 cm is melted down and made into ten identical spheres. Calculate the surface area of one of the spheres.

First, we calculate the volume of the cube by raising to third power the measurement of its side and the answer is 1000 cm³. Then, we divide this by the 10 identical spheres.

volume of each sphere = 1000 cm³/10 = 100 cm³

The volume is equal to 4πr³/3. The radius of each,

r = 100*3/4π = 6.18

Then, we solve for the surface area through the equation,

A = 4πr² = (4) (π) (6.18) ² = 480 cm².