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Question from Nat:

A rectangular tank contains 1200cmsquare of water when it is 5 out of 9 full . Its base area is 80cmsquare . Find the height of the tank.

HI Nat,

I think you mean 1200 cubic centimeters $(cm^3),$ not square centimeters.

The volume of the water in the tank is the area of the base times the height, ie $A \times h$ where $A$ is the area of the base in square centimeters and $h$ is the height in centimeters. You know the area of the base is 80 square centimeters so solve $A \times h = 1200$ for $h.$

This is the height of the water which is $/large \frac{5}{9}$ of the height of the tank. What is $\large \frac{1}{9}$ of the height of the tank?

Penny

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