Question

Two colours, red and black are used to paint a cube. Red is painted on three faces, each of which is adjacent to the other two and, black is painted on the remaining faces. Assume that one can see exactly three faces when the cube is kept on a plane. What is the total number of ways in which the black colour is not seen at all when the cube is kept on a table?​

Answer 1

Given:

Two colours, red and black are used to paint a cube.

Red is painted on three faces, each of which is adjacent to the other two and, black is painted on the remaining faces.

To Find:

The total number of ways in which the black colour is not seen at all when the cube is kept on a table.

Solution:

We know that,

The total number of faces of a cube = 6.

Color red to be painted on = 3 faces.

Color black to be painted on = 3 faces.

Assuming that one can see exactly three faces when the cube is kept on a plane,

The total number of ways in which the black colour is not seen at all when the cube is kept on a table = The total number of faces of the cube - The number of faces painted in color black.

The total number of ways in which the black colour is not seen at all when the cube is kept on a table = 6 - 3.

The total number of ways in which the black colour is not seen at all when the cube is kept on a table = 3.

Hence, The total number of ways in which the black colour is not seen at all when the cube is kept on a table is 3.

Answer 2

Answer:

3

Step-by-step explanation:

Given,

A cube is painted with two colours: red and black.

Three faces are painted red, each of which is adjacent to the other two, and the remaining faces are painted black.

To find,

When the cube is placed on a table, the total number of ways in which the black colour is not visible.

Solution:

We are aware of this.

• A cube's total number of faces is 6.
• The colour red will be used to paint three faces.
• Three faces should be painted in black.
• Assuming that while the cube is kept on a plane, one can see exactly three faces,
• When the cube is placed on a table, the total number of faces minus the number of faces painted in black equals the total number of ways in which the black colour is not visible at all.
• When the cube is placed on a table, there are a total of 6 - 3 ways in which the black colour is not visible.
• When the cube is placed on a table, there are a total of 3 ways in which the black colour is not visible.
• As a result, there are three scenarios in which the black colour is not visible at all when the cube is placed on a table.

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