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Question

A 3×3 Rubik's cube has a total surface area of 54 cm2. The area occupied by every single red tile of the cube is ___________ .



A

0.25 cm2

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B

1 cm2

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C

3 cm2

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D

9 cm2

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Solution

The correct option is B

1 cm2


Given,
Total surface area of the cube =54 cm2

We know that,
Cube has 6 number of faces.
Each face of the Rubik's cube contains 9 tiles.
Each Rubik's cube contains 9 red tiles.

 Area of each face 
=Total surface area of the cubeTotal number of faces of the cube=546=9 cm2

Now, area of each tile 
=Area of each faceTotal number of  tiles in each face=99=1 cm2

Hence, the area occupied by every single red tile of the cube is 1 cm2.


Mathematics

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