Answer:
Length = 5 feet
Breadth = (5/3) feet
Height(depth) = 2 feet
Volume of the entire tank = Length x Breadth x Height
=
----------(1)
Water is filled upto a height of (1/3) feet
Volume of water in the tank = Length x Breadth x Height
=
-------------(2)
Volume of space needed to be filled = (1) - (2)
=
![(50)/(3) -(25)/(9) = (150-25)/(9) = (125)/(9) cubic feet](https://img.qammunity.org/2022/formulas/mathematics/college/g2vl871xaiqypopkhzujhq9rh2gwgksey0.png)
OR
Height of tank needed to be filled = 2 - (1/3) = (5/3) feet
Volume of space = Length x Breadth x Height of empty tank
=
![5 * (5)/(3) * (5)/(3) = (125)/(9) cubic \ feet](https://img.qammunity.org/2022/formulas/mathematics/college/33emis0tomngrw1f0n60zlupgl7c2f3pgt.png)