Problems based on Cubes and Dice Question Figures and answers : Non Verbal

  • Directions: (Questions 1 to 10) A solid cube of each side 8 cm, has been painted red, blue and black on pairs of opposite faces.
    It is then cut into cubical blocks of each side 2 cm.

     
  • 1. How many cubes have no face painted? 
A.) 0
B.) 4
C.) 8
D.) 12

Answer: Option 'C'

Cubes have only one face painted = Central cubes : In middle of faces & has only one coloured side.
We can find out the total number of cubes with singe color on any side with this formula: 6(X-2)2
Implementation of formula: X = 4
6(4-2)2 = 6(2)2 = 24

  • 2. How many cubes have only one face painted?
A.) 8
B.) 16
C.) 24
D.) 28

Answer: Option 'C'

Cubes have only one face painted = Central cubes : In middle of faces & has only one coloured side.
We can find out the total number of cubes with singe colour on any side with this formula: 6(X-2)2
Implementation of formula: X = 4
6(4-2)2 = 6(2)2 = 24

  • 3. How many cubes have only two faces painted? 
A.) 8
B.) 16
C.) 24
D.) 20

Answer: Option 'C'

Cubes have only two faces painted = Middle Cubes: In middle of edges and have two coloured sides.
We can find out the total number of cubes with singe colour on any side with this formula: 12(X-2)
Implementation of formula: X = 4
12(4-2) = 12(2) = 24

  • 4. How many cubes have only three faces painted? 
A.) 0
B.) 4
C.) 6
D.) 8

Answer: Option 'D'

Cubes have only three faces painted = Corner cubes : Cubes on corners and have three coloured sides.
A cube can have only 8 cut-corner cubes with colours on three sides. Hence answer will be always the same = 8
12(4-2) = 12(2) = 24

  • 5. How many cubes have three faces painted with different colours? 
A.) 0
B.) 4
C.) 12
D.) 8

Answer: Option 'D'

Cubes have three faces painted = Corner cubes : Cubes on corners and have three coloured sides.
A cube can have only 8 cut-corner cubes with colours on three sides. Hence answer will be always the same = 8.