Question

# An empty cubicle carton is of side 9 cm. Can you fit in 1000 cubes of side 1 cm in it?

Hint: In this particular question use the concept that the volume of the cube is the cube of its side, so if the ratio of the volume of the empty cubicle carton to the volume of 1000 cubes of 1 cm is greater than 1 than we can will 1000 cubes of side 1 cm into an empty cubicle carton otherwise not, so use these concepts to reach the solution of the question.

So the volume of an empty cubicle carton having side 9 cm, V = ${\left( 9 \right)^3} = 729{\text{ c}}{{\text{m}}^3}$.
So the volume of the cube of side 1 cm is, V’ = ${\left( 1 \right)^3} = 1{\text{ c}}{{\text{m}}^3}$
$\Rightarrow \dfrac{V}{{V'}} = \dfrac{{729}}{{1000}} = 0.729$ < 1