Question

A cube is painted red, green and blue on the opposite faces. Now the cube is divided into 216 smaller cubes of equal size.How many smaller cube will have only one surface painted.

Answer 1

The number of smaller cube having only one surface painted is 72.

Explanation:

• Number of colors painted on the cube are red green and blue.
• so the  number of sides of the cube are 3
• The cube is divided into 216 smaller smaller cubes of equal cubes of size.

No or sides = 3

Number of cube divided into smaller cubes = 216

The number of cubes having only one surface painted = ?

Now

Cubes having only one surface painted = Total cubes / No or sides

Cubes having only one surface painted = 216 / 3

Cubes having only one surface painted = 72

Thus the number of smaller cube having only one surface painted is 72.