Question

The volume of a cuboid is $1536m^2$ its length is $60m$ and breadth and height are in ration $3:2$ find the breadth or height of the cuboid.

Answer 1

Given:Length of the cuboid$=l=60$m

Volume of the cuboid$=v=1536m^3$

Breadth of the cuboid$=b=3x$m and its height$=h=2x$m

Volume of a cuboid$=l\times b\times h$

$\Rightarrow 1536=60\times 3x\times 2x$

$\Rightarrow 360x^2=1536$

$\Rightarrow x^2=\frac{1536}{360}=\frac{256}{60}=\frac{64}{15}$

$\Rightarrow x=\sqrt{\frac{64}{15}}=\frac{8}{\sqrt{15}}=2.06$m

$\therefore$Breadth of the cuboid$=b=3x=3\times 2.06=6.18$m and its height$=h=2x=2\times 2.06=4.12$m