Question

A solid cube is made using $64$ small cubes. For how many small cubes only one side is seen?

• A. $16$
• B. $24$
• C. $28$
• D. $32$

Answer 1

Answer: (B)

$24$

If we make a solid cube using $64$ small cubes, then each surface will have 16 cubes.

The small cubes on each surface which are not side cubes will have only one face visible.

For each surface, only $4$ such cubes exist.

There are total $6$ surfaces in a cube.

Thus, total no. of cubes having only one side visible $=4\times 6=24$.

Hence, for $24$ cubes only one side is seen.