A cuboid 6 cubes long, 4 deep and 3 high has its two largest faces painted red, its two smallest faces blue and the remaining two faces green. How many small cubes carry green and no other colour?

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Accepted Answer

8. Largest faces (6 by 4) are the top and bottom: red. Smallest (4 by 3) are the ends: blue. The front and back (6 by 3) are green. A green-only cube is on the front or back but away from the top, bottom and ends: (6-2)×(3-2)=4 on each, 2×4=8.

A cuboid 6 cubes long, 4 deep and 3 high has its two largest faces painted red, its two smallest faces blue and the remaining two faces green. How many small cubes carry green and no other colour?

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