Question

A cube is painted pink on two adjacent surface and blue on the surfaces opposite to pink surfaces and yellow on
the remaining faces. Now the cube is cut into sixty-four smaller cubes of equal size.
How many smaller cubes with two surface painted have one face yellow and one of the adjacent faces blue or
pink?
options
24
8
28
16​

Answer 1

Answer:

28

Step-by-step explanation:

Hope it will be useful to u

Answer 2

8 is the correct option .

The no.of smaller cubes with two surface painted have one face yellow and one of the adjacent faces blue or pink will be 8 .

• The larger cube is cut into 64 smaller cubes.

• This implies that the edge of a smaller cube is one-fourth that of the larger cube.

• We know that the two adjacent faces are painted pink and the two faces opposite to these faces are painted blue.

• This implies that the top and the bottom faces are painted yellow.

• Thus, there are two edges where the faces painted pink and blue meet, and each edge has four cubes.

• Thus, there are total 88 smaller cubes on each face.

• Hence, there are 32 smaller cubes which have at least one of their faces yellow.

• The no.of smaller cubes with two surface painted have one face yellow and one of the adjacent faces blue or pink will be 32 / 4 = 8 since the edge of a smaller cube is one-fourth that of the larger cube.

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