Study the following case and answer the questions based on it.
A cube with dimensions 5x5x5 is painted on all faces using a single colour. The cube is then cut into smaller sized cubes with dimensions 1x1x1.

Q. How many cubes have only one painted face?

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Solution

The correct option is B 54
n = number of cubes in a row or column
number of cubes with just one face painted $= 6 \times (n - 2)^{2}$
= 6 x 9
= 54

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Similar questions

Q. Study the following case and answer the questions based on it.
A cube with dimensions 5x5x5 is painted on all faces using a single colour. The cube is then cut into smaller sized cubes with dimensions 1x1x1.

Q. How many cubes have 2 painted faces?

Q. The following Questions are based on the following information:How many small cubes have only one face coloured?

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A cube of side $5 c m$ is painted on all its faces. If it is sliced into $1$ cubic centimetre cubes, then how many $1$ cubic centimetre cubes will have exactly one of their faces painted?

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The six faces of a cube are painted in a manner that no two adjacent faces have the same colour. The three colours used in painting are red, blue and green. The cube is then cut into 36 smaller cubes in such a manner that 32 cubes are of one size and the rest of a bigger size and each of the bigger cubes has no red side. Answer the following question based on the given information.

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Study the following case and answer the questions based on it. A cube with dimensions 5x5x5 is painted on all faces using a single colour. The cube is then cut into smaller sized cubes with dimensions 1x1x1. Q. How many cubes have only one painted face?

The correct option is B 54n = number of cubes in a row or column number of cubes with just one face painted =6×(n−2)2 = 6 x 9 = 54

Study the following case and answer the questions based on it.
A cube with dimensions 5x5x5 is painted on all faces using a single colour. The cube is then cut into smaller sized cubes with dimensions 1x1x1.

Q. How many cubes have only one painted face?

The correct option is B 54
n = number of cubes in a row or column
number of cubes with just one face painted $= 6 \times (n - 2)^{2}$
= 6 x 9
= 54