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?

A cube which is painted red on the outer surface is of $2 \mathrm{inches}$ height, $2 \mathrm{inches}$ wide and $2 \mathrm{inches}$ 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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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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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?