Cubes Test

Result

Cubes Test - 4

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

Directions For Questions

Read the following information and answer the given question.

A cuboid of dimensions 4 cm × 3 cm ×3 cm is painted yellow on the pair of opposite faces of dimensions 4 cm ×3 cm. The two opposite faces of dimensions 4 cm ×3 cm are painted red and the two remaining faces of dimensions 3 cm ×3 cm are painted with green colour. Now, the cuboid is divided into small cubes, each of dimensions 1 cm ×1 cm × 1 cm.

...view full instructions

On how many cubes do all the three colours appear?

A
24

B
20

C
16

D
8

Solution

All the three colours appear on eight cubes at the corners.
Question 2
1 / -0

Directions For Questions

Read the following information and answer the given question.

A cuboid of dimensions 4 cm × 3 cm ×3 cm is painted yellow on the pair of opposite surfaces of dimensions 4 cm ×3 cm. The remaining two opposite surfaces of dimensions 4 cm ×3 cm are painted red and two surfaces of dimensions 3 cm ×3 cm are painted with green colour. Now, the block is divided into small cubes, each of dimensions 1 cm ×1 cm × 1 cm.

...view full instructions

How many cubes will have only two painted surfaces?

A
32

B
24

C
16

D
12

Solution

Two cubes each on four edges and one cube each on eight edges will have only two surfaces painted. That is, a total of 16 such cubes will be obtained.
Question 3
1 / -0

Directions For Questions

Read the following information and answer the given question.

A cuboid of dimensions 4 cm × 3 cm × 3 cm is painted yellow on the pair of opposite surfaces of dimensions 4 cm × 3 cm. The remaining two opposite surfaces of dimensions 4 cm × 3 cm are painted red and two opposite surfaces of dimensions 3 cm × 3 cm are painted green. Now the cuboid is divided into small cubes of dimensions 1 cm × 1 cm × 1 cm.

...view full instructions

How many cubes will have at least one painted surface?

A
32

B
24

C
18

D
None of these

Solution

Number of cubes having at least one surface painted = Number of cubes having three surfaces painted + Number of cubes having two surfaces painted + Number of cubes having one surface painted = 8 + 16 + 10 = 34