The surface area of a cube is 1536 cm2. find: (1) the length of its edge, (2) its volume, (3) the volume of its material whose thickness is 5mm.

S.A of cube = 1536 cm^2

6(side) ^2 =1536

(side) ^2 = 1536/6 =256

side = 16cm = length of cube.

now, Volume of cube = (side) ^ 3 = 16^3 = 4096 cm^3

5mm = 0.5 cm

thus, volume of material used = 6*1536*.5 = 4608 cm ^3