A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes.
Given,
Original edge of cube = 4 cm
Original volume of cube = 43 = 64 cm3
After cutting ,
Edge of cube = 1 cm
Hence volume of new cube = 13 = 1 cm3
Number of small cubes thus formed =
Hence , total surface area of 64 cubes = 64× 6a2 = 64×6 = 384 m2