One ($3 \times 12 \times 15$) cm. colored cuboid is cut into smaller cubes of $3\text{ cm}.$, then answer the following questions:
(iii) How many cubes have 2 surfaces painted?

Directions (73-75): There is a cuboid whose dimensions are $4 \times 3 \times 3$ cm. The opposite faces of dimensions $4 \times 3$ are coloured yellow. The opposite faces of other dimensions $4 \times 3$ are coloured red. The opposite faces of dimensions $3 \times 3$ are coloured green. Now the cuboid is cut into small cubes of side 1 cm.

How many small cubes will have only two faces coloured?

Directions (63-67): A cube is cut in two equal parts along a plane parallel to one of its faces. One piece is then coloured red on the two larger faces and green on the remaining, while the other is coloured green on two smaller adjacent faces and red on the remaining. Each is then cut into 32 cubes of same size and mixed up.

How many cubes have two red and one green face on each?

All surfaces of a cube are colored. If a number of smaller cubes are taken out from it, each side 1/4 the size of the original cube's side, indicate the number of cubes with only one side painted.

One ($15 \times 18 \times 21$) cm. cuboid is painted red on all its surfaces. Now it is cut into smaller cubes of 3cm side, then how many cubes are there which have no surface painted?

Directions (68-72): There are 128 cubes with me which are coloured according to two schemes viz. 64 cubes each having two red adjacent faces and one yellow and other blue on their opposite faces while green on the rest. 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.

Which two colours have the same number of faces?

A cube of white material is painted black on all its surfaces. If it is cut into 125 smaller cubes of the same size, then how many cubes will have two sides painted black?

One ($3 \times 12 \times 15$) cm. colored cuboid is cut into smaller cubes of $3\text{ cm}.$, then answer the following questions:
(i) What is the number of total cubes made?

There is one $(8 \times 10 \times 12)$ cm cuboid. Its $(8 \times 10)$ cm surfaces are painted red, $(10 \times 12)$ cm surfaces are painted blue and $(12 \times 8)$ cm surfaces are painted yellow. Now this cuboid is cut into smaller cubes of 2 cm side. Find the number of corner cubes.

A colored cube is cut into 343 smaller cubes, then how many smaller cubes are there which have atleast 1 surface painted? {GC_TEXT}

There is one ($6 \times 8 \times 10$) cm cuboid. Its ($6 \times 8$) cm surfaces are painted red, ($8 \times 10$) cm surfaces are painted blue and ($6 \times 10$) cm surfaces are painted yellow. Now this cuboid is cut into smaller cubes of 2 cm, then answer the following questions: How many cubes are there which are painted with 3 different colors?

There is one ($6 \times 8 \times 10$) cm cuboid. Its ($6 \times 8$) cm surfaces are painted red, ($8 \times 10$) cm surfaces are painted blue and ($6 \times 10$) cm surfaces are painted yellow. Now this cuboid is cut into smaller cubes of 2 cm, then answer the following questions: How many cubes are there which have only 2 surfaces painted and that too with red and blue color?

Directions (50-53) : The following questions are based on the information given below:
All the six faces 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.

The face opposite to brown is ____

Directions (68-72): There are 128 cubes with me which are coloured according to two schemes viz. 64 cubes each having two red adjacent faces and one yellow and other blue on their opposite faces while green on the rest. 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.

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

How many cubes have 3 surfaces painted?

One $(3 \times 3 \times 33)$ cm colored cuboid is cut into smaller cubes of 3 cm side, then answer the following questions: (i) Find out the number of corner cubes?

Directions (54-58): 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 it is cut into 64 small equal cubes.

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

Ex2. A 12 cm. colored cube is cut into 2 cm. smaller cubes. Answer the following questions:
(ii) How many cubes have 2 surfaces painted?

A 15 cm. colored cube is cut into 3 cm. smaller cubes, what is the total number of cubes made?

Directions (54-58): 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 it is cut into 64 small equal cubes.

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