Question

A cuboidal box is 11 cm long, 7 cm broad and 5 cm high and a cubical box has an edge of 9 cm. Which one has greater volume?

Answer 1

Volume of cuboid
$=\text{length}\times \text{breadth}\times \text{height}$
$=11cm\times 7cm\times 5cm=385cu.cm$

Volume of cube
$=\text{side}\times \text{side}\times \text{side}$
$=9cm\times 9cm\times 9cm=729cu.cm$

$\Rightarrow$Volume of cube > Volume of cuboid

$\therefore$ cube has greater volume.