If i have a metal sphere with an 8cm radius, then melt it down and turn it into a cube, what would the surface area of that cube be?
+33616 If it's a solid sphere and you turn it into a solid cube, then the mass will stay the same, and because the density is the same, the volume will also be the same.
Volume = (4/3)*pi*83 cm3
If side of cube is of length L then L3 = (4/3)*pi*83
The surface area of the cube is 6*L2 = 6*(4*pi/3)2/3*82 cm2
+118608 If the thinkness of it is the same as the original sphere then it would hve near enough to the same surface area and you can find the formula for surface area of a sphere on the formulary page at the top of this forum. 
+33616 If it's a solid sphere and you turn it into a solid cube, then the mass will stay the same, and because the density is the same, the volume will also be the same.
Volume = (4/3)*pi*83 cm3
If side of cube is of length L then L3 = (4/3)*pi*83
The surface area of the cube is 6*L2 = 6*(4*pi/3)2/3*82 cm2
