Cubes And Cuboi...

Directions to Solve

The following questions are based on the information given below:

1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
2. Two faces measuring 4 cm x 1 cm are coloured in black.
3. Two faces measuring 6 cm x 1 cm are coloured in red.
4. Two faces measuring 6 cm x 4 cm are coloured in green.
5. 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 ?

Directions to Solve

The following questions are based on the information given below:

All the opposite faces of a big cube are coloured with red, black and green colours. After that is cut into 64 small equal cubes.

Question -

How many small cubes are there where one face is green and other one is either black or red ?

Directions to Solve

The following questions are based on the information given below:

1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
2. Two faces measuring 4 cm x 1 cm are coloured in black.
3. Two faces measuring 6 cm x 1 cm are coloured in red.
4. Two faces measuring 6 cm x 4 cm are coloured in green.
5. 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 ?

Directions to Solve

The following questions are based on the information given below:

1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
2. Two faces measuring 4 cm x 1 cm are coloured in black.
3. Two faces measuring 6 cm x 1 cm are coloured in red.
4. Two faces measuring 6 cm x 4 cm are coloured in green.
5. 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 ?

Directions to Solve

The following questions are based on the information given below:

1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
2. Two faces measuring 4 cm x 1 cm are coloured in black.
3. Two faces measuring 6 cm x 1 cm are coloured in red.
4. Two faces measuring 6 cm x 4 cm are coloured in green.
5. 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 remain if the cubes having black and green coloured are removed ?

Directions to Solve

The following questions are based on the information given below:

1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
2. Two faces measuring 4 cm x 1 cm are coloured in black.
3. Two faces measuring 6 cm x 1 cm are coloured in red.
4. Two faces measuring 6 cm x 4 cm are coloured in green.
5. 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 green colour on two sides and rest of the four sides having no colour ?

Directions to Solve

The following questions are based on the information given below:

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

Question -

How many small cubes will have only two faces coloured ?

Directions to Solve

The following questions are based on the information given below:

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

Question -

How many small cubes have three faces coloured ?

Directions to Solve

The following questions are based on the information given below:

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

Question -

How many small cubes will have no face coloured ?

Directions to Solve

The following questions are based on the information given below:

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

Question -

How many small cubes will have only one face coloured ?

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 -

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

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 -

How many small cubes will have only one face coloured ?

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 -

How many small cubes will have no faces coloured ?

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 -

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

Directions to Solve

The following questions are based on the information given below:

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

Question -

How many small cubes have only one face coloured ?

Directions to Solve

The following questions are based on the information given below:

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

Question -

How many small cubes have no faces coloured ?

Directions to Solve

The following questions are based on the information given below:

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

Question -

How many small cubes are there whose three faces are coloured ?

Directions to Solve

The following questions are based on the information given below:

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

Question -

How many small cubes are there whose two adjacent faces are coloured red ?

Directions to Solve

The following questions are based on the information given below:

All the opposite faces of a big cube are coloured with red, black and green colours. After that is cut into 64 small equal cubes.

Question -

How many small cubes are there whose no faces are coloured ?

Directions to Solve

The following questions are based on the information given below:

All the opposite faces of a big cube are coloured with red, black and green colours. After that is cut into 64 small equal cubes.

Question -

How many small cubes are there whose 3 faces are coloured ?

Directions to Solve

The following questions are based on the information given below:

All the opposite faces of a big cube are coloured with red, black and green colours. After that is cut into 64 small equal cubes.

Question -

How many small cubes are there whose only one face is coloured ?

Directions to Solve

The following questions are based on the information given below:

All the opposite faces of a big cube are coloured with red, black and green colours. After that is cut into 64 small equal cubes.

Question -

How many small cubes are there whose at the most two faces are coloured ?

Directions to Solve

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

Question -

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

Directions to Solve

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

Question -

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

Directions to Solve

All the six faces of a cube of a cube are coloured with six different colours - black, brown, green, red, white and blue.

1. Red face is opposite to the black face.
2. Green face is between red and black faces.
3. Blue face is adjacent to white face.
4. Brown face is adjacent to blue face.
5. Red face is in the bottom.

Question -

The upper face is _________

Directions to Solve

All the six faces of a cube of a cube are coloured with six different colours - black, brown, green, red, white and blue.

1. Red face is opposite to the black face.
2. Green face is between red and black faces.
3. Blue face is adjacent to white face.
4. Brown face is adjacent to blue face.
5. Red face is in the bottom.

Question -

Which of the following is adjacent to green ?

Directions to Solve

All the six faces of a cube of a cube are coloured with six different colours - black, brown, green, red, white and blue.

1. Red face is opposite to the black face.
2. Green face is between red and black faces.
3. Blue face is adjacent to white face.
4. Brown face is adjacent to blue face.
5. Red face is in the bottom.

Question -

Which face is opposite to green ?

Directions to Solve

There are 128 cubes with me which are coloured according to two schemes viz.

1. 64 cubes each having two red adjacent faces and one yellow and other blue on their opposite faces while green on the rest.
2. 64 cubes each having two adjacent blue faces and one red and other green on their opposite faces, while red on the rest. They are then mixed up.

Question -

How many cubes have at least two coloured red faces each ?

Directions to Solve

There are 128 cubes with me which are coloured according to two schemes viz.

1. 64 cubes each having two red adjacent faces and one yellow and other blue on their opposite faces while green on the rest.
2. 64 cubes each having two adjacent blue faces and one red and other green on their opposite faces, while red on the rest. They are then mixed up.

Question -

What is the total number of red faces ?

Directions to Solve

There are 128 cubes with me which are coloured according to two schemes viz.

1. 64 cubes each having two red adjacent faces and one yellow and other blue on their opposite faces while green on the rest.
2. 64 cubes each having two adjacent blue faces and one red and other green on their opposite faces, while red on the rest. They are then mixed up.

Question -

Which two colours have the same number of faces ?

Directions to Solve

There are 128 cubes with me which are coloured according to two schemes viz.

1. 64 cubes each having two red adjacent faces and one yellow and other blue on their opposite faces while green on the rest.
2. 64 cubes each having two adjacent blue faces and one red and other green on their opposite faces, while red on the rest. They are then mixed up.

Question -

How many cubes have two adjacent blue faces each ?