question_answer

All surfaces of a cube are coloured. A number of smaller cubes are taken out from it having each side 1/4 the size of the original cube's side. Indicate the number of cubes with only one side painted.

A)  60                   

B)  32

C)  24                   

D)  16

Correct Answer: C

Solution :

Clearly, the original (coloured) cube is divided into 64 smaller cubes as shown in the figure. The four central cubes on each face of the larger cubes, have only one side painted. \[\therefore \]Total cubes \[=4\times 6=24\]