Cube Cutting

Author:Kartik Singh
SSC CPO Paper-I
IMPORTANT

Important Questions on Cube Cutting

MEDIUM
IMPORTANT

A cube of 3 cm side is divided into smaller cubes of side 1 cm. What will be the total number of middle cubes?

MEDIUM
IMPORTANT

The six faces of a cube is painted with black, brown, green, red, white and blue in such a way that.

i. Red is on the face opposite to black

ii. Green is between red and black

iii. Blue is on the face adjacent to white

iv. Brown is on the face adjacent to blue

v. Red is on the bottom face

Which three colours appear on the edge of the cube?

MEDIUM
IMPORTANT

The six faces of a cube is painted with black, brown, green, red, white and blue in such a way that.

i. Red is on the face opposite to black

ii. Green is between red and black

iii. Blue is on the face adjacent to white

iv. Brown is on the face adjacent to blue

v. Red is on the bottom face

Which colour is on the face opposite to green?

MEDIUM
IMPORTANT

Read the following information carefully to answer the questions that follow.

A cube is coloured red on two opposite faces, blue on two adjacent faces, and yellow on two remaining faces. It is then cut into two halves along the plane parallel to the red faces. One piece is then cut into four equal cubes and the other one into 32 equal cubes.

How many cubes will not have any red faces? 

HARD
IMPORTANT

Read the following information carefully to answer the questions that follow.

A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves along the plane parallel to the red faces. One piece is then cut into four equal cubes and the other one into 32 equal cubes.

How many cubes will not have any coloured faces? 

EASY
IMPORTANT

A cube is coloured red on all of its faces. It is then cut into 64 smaller cubes of equal size. The smaller cubes, so obtained are now separated.

How many smaller cubes have one surface painted with red colour?

MEDIUM
IMPORTANT

A solid cube of 4 inches has been painted red, green and black on pairs of opposite faces. It has been cut into one-inch cubes. How many cubes have only two faces painted?

MEDIUM
IMPORTANT

All faces of a cube are painted with different colours. Red and blue colours are on the opposite faces while the blue colour is in between the yellow and green colours. The colour on the face opposite the green colour is:

EASY
IMPORTANT

A cube having 24 cm side is divided into 64 smaller cubes of equal volume. Find the edge of smaller cubes.

EASY
IMPORTANT

If a cube of 12 cm side is divided into smaller cubes of 3 cm side, then find the total number of inner central cubes.

EASY
IMPORTANT

A cube of 3 cm side is divided into smaller cubes of side 1 cm. What will be the total number of middle cubes?

EASY
IMPORTANT

Count the number of cubes in the given figure.

Question Image

MEDIUM
IMPORTANT

A cube is red on all of its faces. It is then cut into 64 small cubes of equal size. The smaller cubes so obtained are now separated.

Question Image

How many smaller cubes have only three surfaces painted with red colour?

EASY
IMPORTANT

A cube is red on all of its faces. It is then cut into 64 small cubes of equal size. The smaller cubes so obtained are now separated.

Question Image

How many smaller cubes will have at least two surfaces painted with red colour?

EASY
IMPORTANT

A cube is red on all of its faces. It is then cut into 64 small cubes of equal size. The smaller cubes so obtained are now separated

Question Image

How many smaller cubes have no surface coloured?

EASY
IMPORTANT

If a cube of 12 cm side is divided into smaller cubes of 3 cm side, then find the total number of inner central cubes.

EASY
IMPORTANT

A cube of 3 cm side is divided into smaller cubes of side 1 cm. What will be the total number of middle cubes?

EASY
IMPORTANT

A cube is coloured red on all its faces. It is then cut into 64 smaller cubes of equal size. The smaller cubes so obtained are separated. How many cubes have no faces coloured?

EASY
IMPORTANT

How many smaller cubes of 1 cm side can be formed with a solid cube of 3 cm side?

EASY
IMPORTANT

Each of the six different faces of a cube has been coated with a different colour, i.e., V, I, B, G, Y and O. Following information is given.

1. Colours Y, O and B are on the adjacent faces.

2. Colours I, G and Y are on the adjacent faces.

3. Colours B, G and Y are on the adjacent faces.

4. Colours O, V and B are on the adjacent faces.

Which is the colour of the face opposite to the face coloured with O?