Question

How many lead cubes of side $2\text{cm}$ could be made from a lead cube of side $8\text{cm}$?

Answer 1

Let $x$ be the number of lead cubes of side $2\text{cm}$

Since all the smaller lead cubes are formed from the bigger lead cube of side $8\text{cm}$

$⟹$ Number of smaller lead cubes $\times$ volume of each lead cube $=$ volume of bigger lead cube

$⟹x\times (2{)}^3=(8)3$ $[\because$ Volume of cube of edge length $a$ is $a^3]$

$⟹x=\frac{8\times 8\times 8}{2\times 2\times 2}$

$⟹x=64$

$\therefore 64$ smaller lead cubes can be made form the bigger lead cube