A large cube of edge 6 cm is painted red on all faces, then cut into small cubes of edge 2 cm.
How many of the small cubes will have exactly one face painted red?

Question

A large cube of edge 6 cm is painted red on all faces, then cut into small cubes of edge 2 cm. How many of the small cubes will have exactly one face painted red?

Accepted Answer

6. 6/2 = 3 cubes per edge, so 27 small cubes. Cubes with exactly one painted face are the centre of each face: 1 per face x 6 faces = 6.

A large cube of edge 6 cm is painted red on all faces, then cut into small cubes of edge 2 cm.
How many of the small cubes will have exactly one face painted red?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Surface Area of Cuboid and Cube practice

A large cube of edge 6 cm is painted red on all faces, then cut into small cubes of edge 2 cm.How many of the small cubes will have exactly one face painted red?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Surface Area of Cuboid and Cube practice

A large cube of edge 6 cm is painted red on all faces, then cut into small cubes of edge 2 cm.
How many of the small cubes will have exactly one face painted red?