Question

The ratio of the height of a cuboid to his breadth is 2:1. I the height of the cuboid is 6m and its length is 5m, find its Volume.​

Answer 1

$\sf \bold {Given\::}$

$\bullet$ Height of cuboid = 6m

$\bullet$ Length of cuboid = 5m

$\bullet$ Height : Breadth = 2:1

$\sf \bold {To\:Find\::}$

$\bullet$ Volume of cuboid

$\sf \bold {Formula\:used\::}$

$\bullet$ Volume of cuboid = Length × Breadth × Height

$\sf \bold {Solution\::}$

given, Height : Breadth = 2:1

$\\\sf \implies \dfrac{Height}{Breadth} = \dfrac{2}{1} \\\\\\\sf \implies Breadth\:=\:\dfrac{Height}{2} \\\\\sf \implies Breadth = \dfrac{6}{2} = 3m$

$\bullet$ Volume of cuboid = Length × Breadth × Height

$\implies$ Volume = (5m)×(3m)×(6m)

$\implies$ Volume = 90m³

$\sf \bold {ANSWER\::}$ $\sf \bold {Volume\:of\:\:cuboid\:=\:90m^{3}\::}$