Will the EVGA GTX 770 SC (P/N:02G–P4–2771–KR) Reference card fit inside the Silverstone FT-03 mini?

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Please explain in detail if you can.

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Should fit with ease. My only advice would be to get the smallest psu you can (length wise) since it can get quite tight with cables. Just make sure it has enough 12v amps to feed the 770.