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 3 faces painted?

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Solution

The correct option is E 8
The cubes with three painted faces form the vertices of the original cube.
Since a cube have 8 vertices
There are 8 smaller cubes with 3 faces painted

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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 only one painted face?

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

Q. A large cube is painted on all six faces and then divided into maximum number of smaller cubes, by making 9 cuts. How many smaller cubes will have no painted faces?

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?

(a) $27$

(b) $42$

(d) $142$

Question 1

A cube of side 5 cm 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?
(a) 27 (b) 42 (c) 54 (d) 142

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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 3 faces painted?

The correct option is E 8The cubes with three painted faces form the vertices of the original cube. Since a cube have 8 vertices There are 8 smaller cubes with 3 faces painted

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 3 faces painted?

The correct option is E 8
The cubes with three painted faces form the vertices of the original cube.
Since a cube have 8 vertices
There are 8 smaller cubes with 3 faces painted