My tank is quite similar in specs 4ftx 2ft x50cm. Reason for height difference is because of the following reason.
1) not many Aquatic light can penetrate 2ft depth effectively. Other than MH light, I am not aware of other lights that can do it.
2) I did some calculation for 50cm height tank, you will need more than 12mm thick crystal glass. My 50cm height tank is using 12mm Crystal glass, at this height, my tank still bow a little.
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