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Question

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

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Solution

Given,
Total surface area of the cube =54 cm2

We know that a 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.


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