Question

A cube of side $4cm$ is painted red on the pair of one opposite surface, green on the pair of other opposite surfaces and one pair of the opposite is left unpainted. Now the cube s divided into $64$ smaller cubes of side $1cm$ each. How many smaller cubes have two surfaces painted?

• A. $4$
• B. $8$
• C. $16$
• D. $24$

Answer 1

The correct option is C $16$

In this particular cube 4 sides are painted and 2 are not painted.
Therefore, these 4 sides have cubes with 2 faces painted.
Now, the cubes with 2 faces painted are the cubes on the sides except the corner ones.There are 8 cubes for 2 painted faces.
Therefore, there will be total of 16 cubes with 2 painted faces.
Answer is Option C