Verbal Reasoning

Cube and Cuboid 2

Verbal Reasoning Exercise Mode

Cube and Cuboid 2

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4 Questions
6 Minutes
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QUEST ? !
Directions to Solve

The following questions are based on the information given below:

1. A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.

2. Two sides measuring 5 cm x 4 cm are coloured in red.

3. Two faces measuring 4 cm x 3 cm are coloured in blue.

4. Two faces measuring 5 cm x 3 cm are coloured in green.

5. Now the block is divided into small cubes of side 1 cm each.

Question 1
How many small cubes will have two faces coloured with red and green colours ?

A
12
B
8
C
16
D
20
Correct Answer: Option A

Required number of small cubes = 6 from the top and 6 from the bottom = 12

Question 2
How many small cubes will have only one face coloured ?

A
12
B
28
C
22
D
16
Correct Answer: Option C

2 from the front + 2 from the back + 3 from the left + 3 from the right + 6 from the top + 6 from the bottom = 22

Question 3
How many small cubes will have will have three faces coloured ?

A
14
B
8
C
10
D
12
Correct Answer: Option B

Such cubes are related to the corners of the cuboid and in the cuboid there are 8 corners.

Hence, the required number of small cubes is 8.

Question 4
How many small cubes will have no faces coloured ?

A
None
B
2
C
4
D
6
Correct Answer: Option D

Required number of small cubes = (5 - 2) x (4 - 2) x (3 - 2)

= 3 x 2 x 1

= 6