A tank can contain 384 litres of water. The length of the tank is 3 times of its depth and the breadth is 2 times of its depth. Find the depth of the tank.

Explanation

384 litres = 384 cubic dcm.
Let the depthness of the tank = x dcm.
As per question of the tank = 3x dcm. And the breadth = 2 x dcm .
`therefore` the volume of the tank `=x xx 3x xx2 x ` cubic -dcm `=6x^3` cubic -dcm
As per question , `6x^3=384 rArr x^3=384/6 = 64 =4^3 rArr x =4. `
Hence the depthness of the rank =4 dcm =0.4 metres.