Question

27 wooden unit cubes are put together to form a 3*3*3 cube this cube is now painted on all sides with red and then taken apart again karishma takes all those cubes which has only one side paint swetha takes all those cubes which have two sides painted how many more cubes does swetha have than karishma

Answer 1

See Attachement

Total number of cubes = 27

Find the number of cubes with 1 side painted:

*See attachment (red dot)

1 face = 1 cube (only the centre cube)

6 faces = 6 cubes

Find the number of cubes with 2 sides painted:

*See attachment (green dot)

Top face = 4

Bottom face = 4

4 side faces = 4

Total = 4 + 4 + 4 = 12

Find the difference:

Karishma = only one side painted = 6

Swetha = two sides painted = 12

Difference = 12 - 6 = 6

Answer: 6 cubes