Question

A 3 x 3 Rubik's cube has a total surface area of 54 ${cm}^2$. The area occupied by a single red tile on the Rubik's cube is

• A. 0.25 cm²
• B. 1 cm²
• C. 2 cm²
• D. None of these

Answer 1

The correct option is B

1 cm²

Total surface area of the Rubik's cube $=54c{m}^2$

Number of faces in a Rubik's cube $=6$

$\Rightarrow$ Area of each face $=\frac{\text{Total surface area of the Rubik's cube}}{\text{Number of faces in a Rubik's cube}}=\frac{54}{6}=9c{m}^2$

Number of tiles on each surface of the Rubik's cube $=9$

$\Rightarrow$ Area of each tile $=\frac{\text{Area of each face}}{\text{Number of tiles on a face}}=\frac{9}{9}=1c{m}^2$