Question

V= 1800 cm cube
I:b= 3:1
H=1500 mm
I=?
b=?​

Answer 1

Assume length = 3x and breadth = 1x.

Given that, h = 1500 mm

Volume = 1800 mm

We know,

$\sf V = lbh$

⇒ $\sf 3x.x.1500 = 1800$

⇒ $\sf 3x^2 = \dfrac{6}{5}$

⇒ $\sf x^2 = \dfrac{6}{15} = \dfrac{2}{5}$

⇒ $\sf x = \pm \sqrt{\dfrac{2}{5}}$

⇒ $\sf x = \sqrt{\dfrac{2}{5}}$.

(Length has a positive value.)

So, length = $\sf l = 3 \sqrt{\dfrac{2}{5}} \ mm , b = \sqrt{ \dfrac{2}{5} } \ mm.$.