Question

capacity of Tank is 48000 litres. if length of tank is 3 times and breadth is 2 times of height find the dimensions of the tank

Answer 1

48000 l= 3x + 2x + x
48000= 6x^3
48 cm=6x^3
48 /6 =x^3
8=x^3
2=x

Answer 2

Given
Capacity of tank=48000litrs

Let height =x
Then
Breadth =2x
Length =3x

Volume of tank = lxbxh

=x*2x*3x

=6x³

You didn't mention any unit of length Breadth etc)
The capacity is given in litres i changing it in m³ first then in cm³

48000ltrs=48m³

48000ltrs=48000000cm³

So

48000000=6x³

X³=48000000/6

X³=8000000


$x = \sqrt[3]{8000000}$
X=200
Height =200cm
Breadth =2x200=400cm
Length =3x200=600cm

In meters=> h=2m, b=4m,l=6m

If we take the unit of length and all in meters
Then ans will be

48000ltrs =48m³

48=6x³

X³=48/6

X³=8

$x = \sqrt[3]{8}$
X=2m

Height =2m

Breadth =2x2=4m

Length =3x2=6m

This is ur ans hope it will help you in case of any doubt comment below