Answer:
Length = 5 feet
Breadth = (5/3) feet
Height(depth) = 2 feet
Volume of the entire tank = Length x Breadth x Height
= [tex]5 \times \frac{5}{3} \times2 = \frac{50}{3}[/tex] ----------(1)
Water is filled upto a height of (1/3) feet
Volume of water in the tank = Length x Breadth x Height
= [tex]5 \times \frac{5}{3} \times \frac{1}{3} = \frac{25}{9}[/tex] -------------(2)
Volume of space needed to be filled = (1) - (2)
= [tex]\frac{50}{3} -\frac{25}{9} = \frac{150-25}{9} = \frac{125}{9} cubic feet[/tex]
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
= [tex]5 \times \frac{5}{3} \times \frac{5}{3} = \frac{125}{9} cubic \ feet[/tex]
