Question

How many cubes of edges $4cm$, each can be cut out from cuboid whose length, breadth and height are $20cm,18cm$ and $16cm$ respectively

Answer 1

For cuboid

$\text{Volume = length x breadth x height}$

It is given that,

length $=20cm$

Breadth $=18cm$

Height $=16cm$

So, by given dimensions

Capacity of tank $=20\times 18\times 16c{m}^3=5760c{m}^3$

Hence, option $A$ is correct

For, cube

So, ${\text{Volume = side}}^3$

It is given that,

side $=4cm$

So,

Volume of cube $=(4{)}^{3}c{m}^3=64c{m}^3$

So, $\text{Numbers of cubes that can be cut from given cuboid}=\frac{\text{Volume of cuboid}}{\text{volume of cube}}$

$=\frac{5760}{64}=90$

So, $90$ cubes can be cut from given cuboid.