# How high will the water rise

I need to know where I am going wrong since I am getting the wrong answer

12 litres of water are poured into an aquarium of $50$ cm length , $30$ cm breadth and $40$ cm Height.How high in cm will the water rise. (Ans 8 cm)

Edit: So I was making some very illogical assumptions however according to advice given which suggested that I keep the changing dimension value variable I got the answer which is

$1000cm^3$ = $50 \times 30 \times x$ so $x = \frac{1000}{1500}$. so $1$ litre has height $\frac{1000}{1500} = \frac {2}{3}$ so $12$ litres will give $12 \times \frac{2}{3} = 8 cm$

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I think a good start would be to ask whatever led you to write $50\times30\times40=5\times3\times4$ when it's patently not so. – Gerry Myerson Jul 24 '12 at 10:53
I agree that does not make sense – MistyD Jul 24 '12 at 10:55
Tips on solving this problem ? – MistyD Jul 24 '12 at 10:56
Which dimension (length, breadth, height) changes when you pour in the water? This is where the $x$ should go. The other two stay constant, so you have $x\cdot C_1 \cdot C_2$, which should match $12\;l$. To make the match, you have to convert litres to $cm^3$... – draks ... Jul 24 '12 at 10:56
how did you get $12l$ ? – MistyD Jul 24 '12 at 11:01