Question

A cube of side 6 cm is cut into a number of cubes, each of side 2 cm. The number of cubes formed is
(a) 6
(b) 9
(c) 12
(d) 27

Answer 1

(d) 27
Volume of the given cube$=\left(6\times 6\times 6\right){\text{cm}}^3$
Volume of each small cube$=\left(2\times 2\times 2\right){\text{cm}}^3$

Number of cubes formed $=\frac{\text{Volume of the given cube}}{\text{Volume of each small cube}}$
$=\left(\frac{6\times 6\times 6}{2\times 2\times 2}\right)$
= 27