Cubes Test - 5...

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

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

How many smaller cubes have no coloured face?

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

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

How many smaller cubes will have at least two faces painted red?

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

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 only two surfaces painted with red colour?

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

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 only three surfaces painted with red colour?

Directions: One hundred and twenty five cubes of the same size are arranged in the form of a cube on a table. Then, a column of five cubes is removed from each of the four corners. All the exposed faces of the rest of the solid (except the face touching the table) are coloured red. Now, answer the question based on the above statements.

How many small cubes are there in the solid after the removal of the columns?

Directions: One hundred and twenty five cubes of the same size are arranged in the form of a cube on a table. Then, a column of five cubes is removed from each of the four corners. All the exposed faces of the rest of the solid (except the face touching the table) are coloured red. Now, answer the question based on the above statement.

How many cubes do not have any coloured face?

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

One hundred and twenty five cubes of the same size are arranged in the form of a cube on a table. Then, a column of five cubes is removed from each of the four corners. All the exposed faces of the rest of the solid (except the face touching the table) are coloured red.

How many cubes have only one red face?

Directions: One hundred and twenty five cubes of the same size are arranged in the form of a cube on a table. Then, a column of five cubes is removed from each of the four corners. All the exposed faces of the rest of the solid (except the face touching the table) are coloured red. Now, answer the question based on the above statements.

How many cubes have more than two coloured faces each?

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

A cube is painted red on two adjacent surfaces, black on the surface opposite to the red surfaces and green on the remaining faces. Now, the cube is cut into 64 smaller cubes of equal size.

How many smaller cubes have only one surface painted?

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

A cube is painted red on two adjacent faces, black on the faces opposite to the red faces, and green on the remaining faces. Now, the cube is cut into 64 smaller cubes of equal size.

How many smaller cubes will have no painted face?

A cube is painted red on two adjacent surfaces, black on the surface opposite to red surfaces and green on the remaining faces. Now, the cube is cut into 64 smaller cubes of equal size.

How many smaller cubes have less than three surfaces painted?

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

A cube is painted red on two adjacent surfaces, black on the surface opposite to the red surfaces and green on the remaining faces. Now, the cube is cut into 64 smaller cubes of equal size.

How many smaller cubes have three surfaces painted?

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

A cube is painted red on two adjacent surfaces, black on the surface opposite to the red surfaces and green on the remaining faces. Now the cube is cut into 64 smaller cubes of equal size.

How many smaller cubes with two surfaces painted have one face green and one of the adjacent faces black or red?

A cube is painted red on two adjacent surfaces and black on the surface opposite to red surfaces and green on the remaining faces. Now, the cube is cut into 64 smaller cubes of equal size. How many smaller cubes have at least one surface painted green?

A cube, painted yellow on all faces, is cut into 27 small cubes of equal size. How many small cubes are painted on one face only?

A cube of edge length 4 inches is painted yellow on all the faces. It is cut into small cubes of equal size, each of edge length 1 inch. Find the number of small cubes with only one face painted.

A cube is painted blue on all faces and is then cut into 125 cubes of equal size. How many cubes are not painted on any face?

A cube is painted blue on all faces and then cut into 125 cubes of equal size. How many cubes are painted on one face only?

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?

Directions: 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 do not have any coloured face?

Directions: 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 do not have any red face?

Directions: 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 have at least two coloured faces?

Directions: 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 have each a yellow face with other faces without colour?

Directions: 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 have at least one face painted blue?

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

A cube is painted red on two adjacent faces, yellow on the two faces opposite to the red faces and green on the remaining faces. It is then cut into 64 smaller cubes of equal size.

How many cubes are painted on all faces?

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

A cube is painted red on two adjacent faces, yellow on the two faces opposite to the red faces and green on the remaining faces. It is then cut into 64 smaller cubes of equal size.

How many cubes are there which have no face painted?

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

A cube is painted red on two adjacent faces, yellow on the two faces opposite to the red faces and green on the remaining faces. It is then cut into 64 smaller cubes of equal size.

How many cubes have exactly one face painted and that too yellow?

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

A cube is painted red on two adjacent faces, yellow on the two faces opposite to the red faces, and green on the remaining faces. It is then cut into 64 smaller cubes of equal size.

How many cubes have three painted faces?

Directions: A cube is painted red on two adjacent faces, yellow on the two faces opposite to the red faces and green on the remaining faces. It is then cut into 64 smaller cubes of equal size. Answer the following question based on this information.

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

Directions: A cube is painted red on two adjacent faces, yellow on the two faces opposite to the red faces and green on the remaining faces. It is then cut into 64 smaller cubes of equal size. Answer the following question based on this information.

How many cubes are painted on two faces only and with the same colour?