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A solid cube is divided into 27 smaller cubes of equal volume. If two opposite faces of this bigger cube are painted with different colours and remaining faces are left unpainted, then how many smaller cubes are obtained which have no faces painted?

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Important Questions on Cubes

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A solid cube is formed with 27 smaller cubes. One pair of opposite faces of this cube is painted red, another pair is painted yellow and the third pair of opposite faces is painted white. How many smaller cubes are painted yellow and white only?
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Pair of opposite faces of a solid cube having sides 3 cm are painted black, blue and yellow respectively. After the painting this cube is divided into smaller cubes of side 1 cm. How many smaller cubes have only one face painted?
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A solid cube is formed with 27 smaller cubes. One pair of opposite faces of this cube is painted red, another pair is painted yellow and the third pair of opposite faces is painted white. How many smaller cubes have two faces painted?
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A cube which is painted red on the outer surface is of 2 inches height, 2 inches wide and 2 inches across. If it is cut into one inch cubes as shown by dotted lines, then indicate the number of cubes which are painted red only on two sides?

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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 no face coloured?

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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 will have at least two surfaces painted with red colour?

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Read the following information carefully and answer the 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 two surfaces painted with red colour?

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UPSC CDS
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Read the following information carefully and answer the 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 3 surfaces painted with red colour?