Question

How many small cubes are there whose at the most two faces are coloured ?

• A. 48
• B. 56
• C. 28
• D. 24

Answer 1

The correct option is B 56

One side of the big cube = $=\sqrt[3]{364}=4cm$.
Number of small cubes having two faces coloured = 8 + 8 + 4 + 4 = 24
and Number of small cubes having only one face coloured = 4 x 6 = 24
and Number of small cubes having no face coloured = 4 + 4 = 8
Therefore, total number of small cubes whose at the most two faces are coloured = 24 + 24 + 8 = 56.