That's my card (I have the DDR3 versions but the dimensions are the same):
http://www.amazon.com/Sapphire-Radeo.../dp/B001L1RYZQ
16.5 x 6.4 x 23.4 cm
6.5 x 2.5 x 9.2 inches
If you can fit my card then you should be able to fit the low profile version as well. I'm not sure about what equals the "low profile form factor" that Sapphire states on their website though:
http://www.sapphiretech.com/presenta...n=0001&pid=274
Of course the HD 5750 is an excellent card and it may fit in your box as well...It's worth checking the card helpful suggested out.
However, my concerns regarding the HD 5750 are:
1) PSU requirements. The HD 4650 will need a 400 Watt PSU, the HD 5770 a 450 Watt one. I don't know if a high end PSU can be installed on your case and of course, if more watts are used, then the interior of your case will get hotter.
2) Temperature. I don't know what case they used on hardocp but you need to keep temperatures as low as possible on a small case like yours.
They state that the load temperature of the HD 5750 is about 77 Celsius degrees. Now, what will happen if we put this card on a tiny box?
My HD 4650 temperature used to peak at around 60 Celsius degrees on my old crappy box under load (4-5 hours of gaming, full load, full fan speed). Now, it barely reaches 50 Celsius under the same load (but now I have a bigger box with much better airflow and 4 fans working at full speed).
If they used a gaming/enthusiast case, then these 77 Celsius degrees are expected. However I'm afraid that this card will hit the low 90s when installed on your computer. That's of course just speculation...
Even if the HD 5750 runs problem free at 90 Celsius degrees, the extra heat will still affect other components of your machine. Small cases are not famous for their airflow and ventilation capabilities. If all this heat remains inside your box then expect your CPU/motherboard/HDD/PSU temperatures to raise as well.
Keep in mind that they make low profile cards for a reason. They are more suitable for low profile machines, especially HDPCs. Why make two cards based on the same chip otherwise? IMHO, just stick to a low profile version.