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 ___________ .
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.