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Test: Cubes & Cuboids - 1 - Question 1

Directions to Solve

The following questions are based on the information given below:

- A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
- Two faces measuring 4 cm x 1 cm are coloured in black.
- Two faces measuring 6 cm x 1 cm are coloured in red.
- Two faces measuring 6 cm x 4 cm are coloured in green.
- The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

**Question - **

How many cubes having red, green and black colours on at least one side of the cube will be formed ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 1

Test: Cubes & Cuboids - 1 - Question 2

Directions to Solve

The following questions are based on the information given below:

- A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
- Two faces measuring 4 cm x 1 cm are coloured in black.
- Two faces measuring 6 cm x 1 cm are coloured in red.
- Two faces measuring 6 cm x 4 cm are coloured in green.
- The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

**Question - **

How many small cubes will be formed ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 2

Test: Cubes & Cuboids - 1 - Question 3

Directions to Solve

The following questions are based on the information given below:

- A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
- Two faces measuring 4 cm x 1 cm are coloured in black.
- Two faces measuring 6 cm x 1 cm are coloured in red.
- Two faces measuring 6 cm x 4 cm are coloured in green.
- The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

**Question - **

How many cubes will have 4 coloured sides and two non-coloured sides ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 3

Test: Cubes & Cuboids - 1 - Question 4

Directions to Solve

The following questions are based on the information given below:

- A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
- Two faces measuring 4 cm x 1 cm are coloured in black.
- Two faces measuring 6 cm x 1 cm are coloured in red.
- Two faces measuring 6 cm x 4 cm are coloured in green.

**Question - **

How many cubes will remain if the cubes having black and green coloured are removed ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 4

Test: Cubes & Cuboids - 1 - Question 5

Directions to Solve

The following questions are based on the information given below:

- A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
- Two faces measuring 4 cm x 1 cm are coloured in black.
- Two faces measuring 6 cm x 1 cm are coloured in red.
- Two faces measuring 6 cm x 4 cm are coloured in green.

**Question - **

How many cubes will have green colour on two sides and rest of the four sides having no colour ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 5

Test: Cubes & Cuboids - 1 - Question 6

Directions to Solve

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.

**Question - **

How many small cubes will have only two faces coloured ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 6

Test: Cubes & Cuboids - 1 - Question 7

Directions to Solve

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.

**Question - **

How many small cubes have three faces coloured ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 7

Test: Cubes & Cuboids - 1 - Question 8

Directions to Solve

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.

**Question - **

How many small cubes will have no face coloured ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 8

Test: Cubes & Cuboids - 1 - Question 9

Directions to Solve

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.

**Question - **

How many small cubes will have only one face coloured ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 9

Test: Cubes & Cuboids - 1 - Question 10

Directions to Solve

The following questions are based on the information given below:

- A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
- Two sides measuring 5 cm x 4 cm are coloured in red.
- Two faces measuring 4 cm x 3 cm are coloured in blue.
- Two faces measuring 5 cm x 3 cm are coloured in green.
- Now the block is divided into small cubes of side 1 cm each.

**Question - **

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

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 10

Test: Cubes & Cuboids - 1 - Question 11

Directions to Solve

The following questions are based on the information given below:

- A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
- Two sides measuring 5 cm x 4 cm are coloured in red.
- Two faces measuring 4 cm x 3 cm are coloured in blue.
- Two faces measuring 5 cm x 3 cm are coloured in green.
- Now the block is divided into small cubes of side 1 cm each.

**Question - **

How many small cubes will have only one face coloured ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 11

Test: Cubes & Cuboids - 1 - Question 12

Directions to Solve

The following questions are based on the information given below:

- A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
- Two sides measuring 5 cm x 4 cm are coloured in red.
- Two faces measuring 4 cm x 3 cm are coloured in blue.
- Two faces measuring 5 cm x 3 cm are coloured in green.
- Now the block is divided into small cubes of side 1 cm each.

**Question - **

How many small cubes will have no faces coloured ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 12

Test: Cubes & Cuboids - 1 - Question 13

Directions to Solve

The following questions are based on the information given below:

- A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
- Two sides measuring 5 cm x 4 cm are coloured in red.
- Two faces measuring 4 cm x 3 cm are coloured in blue.
- Two faces measuring 5 cm x 3 cm are coloured in green.
- Now the block is divided into small cubes of side 1 cm each.

**Question - **

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

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 13

Test: Cubes & Cuboids - 1 - Question 14

Directions to Solve

The following questions are based on the information given below:

- All the faces of cubes are painted with red colour.
- The cubes is cut into 64 equal small cubes.

**Question - **

How many small cubes have only one face coloured ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 14

Test: Cubes & Cuboids - 1 - Question 15

Directions to Solve

The following questions are based on the information given below:

- All the faces of cubes are painted with red colour.
- The cubes is cut into 64 equal small cubes.

**Question - **

How many small cubes have no faces coloured ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 15

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