Cubes Test - 6...

Directions: Read the following information and answer the given question.

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

How many small cubes will have only one painted face?

Directions: 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.

How many cubes will have no face painted?

Directions: 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.

On how many cubes do all the three colours appear?

Directions: 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.

How many cubes will have only two painted surfaces?

Directions: 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.

How many cubes will have at least one painted surface?

Directions: Read the following information and answer the question given below.

A cube of side 10 cm is coloured red, with a 2 cm wide green strip along all the sides on all the faces. The cube is cut into 125 smaller cubes of equal sizes.

How many cubes have three green faces each?

Directions: A cube of side 10 cm is coloured red with a 2 cm wide green strip along all the sides on all the faces. The cube is cut into 125 small cubes of equal size.

How many cubes have one red face and an adjacent green face?

Directions: Read the following information and answer the given question.

A cube of side 10 cm is coloured red with a 2 cm wide green strip along all the sides on all the faces. The cube is cut into 125 small cubes of equal size.

How many cubes have at least one coloured face?

A cube of side 10 cm is coloured red, with a 2 cm wide green strip along all the sides on all the faces. The cube is cut into 125 smaller cubes of equal sizes. How many cubes have at least two green faces each?

Directions: Read the following information and answer the question given below.

A cube of side 10 cm is coloured red, with a 2 cm wide green strip along all the sides on all the faces. The cube is cut into 125 smaller cubes of equal sizes.

How many cubes are without any colour?

Directions: A cube is cut into 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 the same size. The 64 cubes are then mixed up.

How many cubes have no coloured face at all?

Directions: A cube is cut into two equal parts along a plane parallel to one of its faces. One piece is then coloured green on the two larger faces and red on the remaining, while the other is coloured red on the two smaller adjacent faces and green on the remaining. Each piece is then cut into 32 cubes of the same size. The 64 cubes are then mixed up.

How many cubes have only one coloured face?

A cube is cut into 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 piece is coloured green on the two smaller adjacent faces and red on the remaining. Each is then cut into 32 same-sized cubes. The 64 cubes are then mixed up.

How many cubes have two red and one green face?

A cube is cut into 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 piece is coloured green on the two smaller adjacent faces and red on the remaining. Each is then cut into 32 same-sized cubes. The 64 cubes are then mixed up.

How many cubes have only one red face and one green face?

A cube is cut into 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 piece is coloured green on the two smaller adjacent faces and red on the remaining. Each is then cut into 32 same-sized cubes. The 64 cubes are then mixed up.

What is the number of cubes with at least one green face?