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A cube has to be painted in such a way that there is no similar colour on adjacent faces. How many colours are needed for this?

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Important Questions on Cubes

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All the faces of a cube are painted in blue and then it is divided into 27 smaller cubes. How many smaller cubes have only one face painted?
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A bigger cube of 3 inch side is formed by keeping together smaller cubes of 1 inch side. All the faces of this bigger cube is painted red. When the bigger cube is divided into original smaller cubes, then how many smaller cubes have two faces painted?
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UPSC CDS
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All the faces of a cube having side 5 cm are painted green and then it is divided into smaller cubes of 1 cm side. How many smaller cubes have three faces painted with green?
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Six faces of a cube are painted as below

(i) Red opposite to black.

(ii) Green in between red and black.

(iii) Blue adjacent to white.

(iv) Brown adjacent to blue.

(v) Bottom face with red.

Find the colour opposite to brown.

 

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A painted cube having 25 cm side is divided into smaller cube of 5 cm side. How many smaller cube have at least two faces painted?
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IMPORTANT
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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UPSC CDS
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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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UPSC CDS
IMPORTANT
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?