Question

How many cubes have maximum two surface coloured?

• A. $56$
• B. $48$
• C. $24$
• D. $8$

Answer 1

The correct option is A $56$

number of cubes having maximum two surface coloured =number of cubes having two surface colored + 1 surface coloured + no surface coloured

Number of edges in a cube=12

number of cubes having two surface coloured = 12*2= 24

There are six faces in a big cube

number of cubes having one surface coloured=6*4=24

number of cubes having no surface coloured=8

Hence number of cubes having maximum two surface coloured= 24+24+8=56

Hence option A is correct.