Small cubes of side 1 cm are stuck together to form a large cube of side 4cm. Opposite faces of the large cube are painted the
same colour, but adjacent faces are different colours. The three
colours used are red, black and green.
(a) How many small cubes have just one red and one green
face?
(b) How many small cubes are painted on one face only?
(c) How many small cubes have one red, one green and one
black face?
(d) How many small cubes have no faces painted?