Is this the 8GB model?

No. MPN DUAL-RTX5060TI-O16G identifies the 16GB GDDR7 OC Edition.

Does 16GB guarantee that a particular language model will run?

No. Required VRAM depends on model architecture, quantisation, context and runtime overhead. Check the intended software before buying.

Will two cards combine into 32GB automatically?

No. NVLink is not supported. Multi-GPU execution and memory partitioning depend on the application.

Is it exactly two slots thick?

No. ASUS specifies a 2.5-slot cooler and 50 mm card thickness.

ASUS Dual RTX 5060 Ti OC 16GB GDDR7

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ASUS Dual GeForce RTX 5060 Ti OC – 16GB GDDR7 GPU