A cube has all its edges 7 cm long. 5 of it’s 6 faces are painted while one face is left unpainted. Once the paint dries, the cube is then cut into smaller cubes of dimensions 1 cm x 1cm x 1cm for each small cube. Thus 343 new smaller cubes are formed.

Now answer the next 3 questions based on this data .

(1) How many smaller cubes will have 2 of their faces painted and remaining 4 faces unpainted ?

(2)How many smaller cubes will have 1 of their faces painted and remaining 5 faces unpainted ?

(3)How many smaller cubes will have none of their faces painted ?

Answer:(1) 24

(2) 194

(3) 36

Step-by-step explanation: