Question

If each smaller cube in the following Rubik's Cube has a side of 2 cm, what is the volume of the Rubik's Cube?

• A. $261{\text{cm}}^3$
• B. $36{\text{cm}}^3$
• C. $216{\text{cm}}^3$
• D. $72{\text{cm}}^3$

Answer 1

The correct option is C $216{\text{cm}}^3$

A 3 × 3 Rubik's Cube has 9 cubes in each of the three layers.

$\therefore$ A 3 × 3 Rubik's Cube is made of

9 + 9 + 9 = 27 identical cubes.

Given that each cube has a side of 2 cm.

We know that:
Volume of a cube
$=\text{Side}\times \text{Side}\times \text{Side}$

$\therefore$ Volume of a smaller cube inside the Rubik's Cube
$=2\times 2\times 2$
$=8{\text{cm}}^3$

$\therefore$ Volume of the Rubik's Cube
$=27\times \text{Volume of a smaller cube in it}$
$=27\times 8$
$=216{\text{cm}}^3$