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 Rubik's cube is

• A. $0.25c{m}^2$
• B. $0.5c{m}^2$
• C. $1c{m}^2$
• D. $2c{m}^2$

Answer 1

The correct option is B

$0.5c{m}^2$

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 a face of the Rubik's cube $=9$

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

Hence, the area occupied by a single red tile on Rubiks cube is $1c{m}^2.$