A cube of side 4 cm is cut into cubes of side 1 cm. Calculate the total surface area of all the small cubes.
384 cm2
Side of original cube = 4 cm.
Number of cubes of side 1 cm
=Volume of bigger cubeVolume of smaller cube
=4×4×41×1×1
=64
Now, surface area of one cube
= 6(side)2
= 6×(1)2
= 6×1
= 6 cm2
∴ surface area of 64 cubes
=6×64 cm2
=384 cm2
Hence, total surface area of all the small cubes is 384 cm2.