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A rectangular tank is 3/4 filled with water. there are 14.4 L of water in the tank. what is the height of the tank?Width: 40cmLength: 20 cmHeight: unknown Options:A= 16cm B= 20cm C= 24 cmD= 28cm(the question is asking for height of the whole height, not just 3/4)

User GunnerFan
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Since the tank is filled up to 3/4 of its maximum volume and this represents 14.4 liters of water, we have the following equation:


(3)/(4)\cdot V=14.4

where V represents the total volume of the tank. Since we have the measure of the width and the length in cm, we can convert 14.4 in cm^3 to get the following:


14.4l=14400cm^3

Now, we know that the formula for the volume of a rectangular prism is:


V=w\cdot l\cdot h

where w,l and h represent the width length and height respectively. Substituting the values that we have,we get the following equation:


\begin{gathered} (3)/(4)V=14400 \\ \Rightarrow0.75w\cdot l\cdot h=14400 \\ \Rightarrow0.75(40)(20)h=14400 \\ \Rightarrow600h=14400 \\ \Rightarrow h=(14400)/(600)=24 \\ h=24\operatorname{cm} \end{gathered}

therefore, the height of the tank is 24 cm

User Adam Puza
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