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Cube and Cuboid Questions Type 3

Home > Verbal Reasoning > Cube and Cuboid > General Questions Type 3
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Choose the correct option.

 The following questions are based on the information given below:

There is a cuboid whose dimensions are 4 x 3 x 3 cm.
The opposite faces of dimensions 4 x 3 are coloured yellow.
The opposite faces of other dimensions 4 x 3 are coloured red.
The opposite faces of dimensions 3 x 3 are coloured green.
Now the cuboid is cut into small cubes of side 1 cm.

How many small cubes will have only two faces coloured ?


A12

B24

C16

D12

Answer: Option C

Explanation:

Number of small cubes having only two faces coloured = 6 from the front + 6 from the back + 2 from the left + 2 from the right = 16

cube-and-cuboid-1-4

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2 / 6

Choose the correct option.

 The following questions are based on the information given below:

There is a cuboid whose dimensions are 4 x 3 x 3 cm.
The opposite faces of dimensions 4 x 3 are coloured yellow.
The opposite faces of other dimensions 4 x 3 are coloured red.
The opposite faces of dimensions 3 x 3 are coloured green.
Now the cuboid is cut into small cubes of side 1 cm.

How many small cubes have three faces coloured ?


A24

B20

C16

D8

Answer: Option D

Explanation:

Such cubes are related to the corners of the cuboid and there are 8 corners.
Hence, the required number is 8.

cube-and-cuboid-1-5

Workspace

NA
SHSTTON
1
Solv. Corr.
0
Solv. In. Corr.
1
Attempted
0 M:0 S
Avg. Time

3 / 6

Choose the correct option.

 The following questions are based on the information given below:

There is a cuboid whose dimensions are 4 x 3 x 3 cm.
The opposite faces of dimensions 4 x 3 are coloured yellow.
The opposite faces of other dimensions 4 x 3 are coloured red.
The opposite faces of dimensions 3 x 3 are coloured green.
Now the cuboid is cut into small cubes of side 1 cm.

How many small cubes will have no face coloured ?


A1

B2

C4

D8

Answer: Option B

Explanation:

Number of small cubes have no face coloured = (4 - 2) x (3 - 2) = 2 x 1 = 2

cube-and-cuboid-1-6

Workspace

NA
SHSTTON
1
Solv. Corr.
1
Solv. In. Corr.
2
Attempted
0 M:0 S
Avg. Time

4 / 6

Choose the correct option.

 The following questions are based on the information given below:

There is a cuboid whose dimensions are 4 x 3 x 3 cm.
The opposite faces of dimensions 4 x 3 are coloured yellow.
The opposite faces of other dimensions 4 x 3 are coloured red.
The opposite faces of dimensions 3 x 3 are coloured green.
Now the cuboid is cut into small cubes of side 1 cm.

How many small cubes will have only one face coloured ?


A10

B12

C14

D18

Answer: Option A

Explanation:

Number of small cubes having only one face coloured = 2 x 2 + 2 x 2 + 2 x 1
= 4 + 4 + 2
= 10

cube-and-cuboid-1-7

Workspace

NA
SHSTTON
1
Solv. Corr.
0
Solv. In. Corr.
1
Attempted
0 M:0 S
Avg. Time

5 / 6

Choose the correct option.

 All the faces of a cube are painted with blue colour. Then it is cut into 125 small equal cubes.

How many small cubes will be formed having only one face coloured ?


A54

B8

C16

D24

Answer: Option A

Explanation:

No. of small cubes having only one face coloured = (5 - 2)2 x 6
= 9 x 6
= 54

cube-and-cuboid-1-21

Workspace

NA
SHSTTON
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6 / 6

Choose the correct option.

 All the faces of a cube are painted with blue colour. Then it is cut into 125 small equal cubes.

How many small cubes will be formed having no face coloured ?


A27

B8

C16

D24

Answer: Option A

Explanation:

No. of small cubes having no face coloured = (x - 2)3
= (5 - 2)3
= 27

cube-and-cuboid-1-22

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