Question

Parikshit makes a cuboid of plasticine of sides $5cm$, $2cm$, $5cm$. How many such cuboids will he need to form a cube?

Answer 1

L.C.M. of $5$ and $2$ gives the dimension of the cube to be formed.

L.C.M. of $5$ and $2$ is $10$.
Volume of cuboid $=5\times 5\times 2=50c{m}^3$
Volume of bigger cube $=$ ${10}^3$ $=1000c{m}^3$

Number of cuboids required to make the bigger cube $=$

$\frac{\left(\text{Volume of cube}\right)}{\left(\text{Volume of a cuboid}\right)}$ $=$ $\frac{1000}{50}$ $=20$