Question

How many cubes will have all three colours black, green and red each atleast on one side ?

• A. $16$
• B. $12$
• C. $10$
• D. $8$

Answer 1

Answer: (A)

$16$

Number of smaller cubes having all three colours black, green and red each atleast on one side = Number of smaller cubes at $4$ corners + Number of smaller cubes at the $2$ edges of surfaces of dimensions $(4cm\times 1cm)$ + Number of smaller cubes at the $2$ edges of surfaces of dimensions $(6cm\times 1cm)$
$=4+2+2+4+4=4+4+8=16$