Final answer:
In eukaryotic cells, transcription occurs in the nucleus, and translation occurs in the cytoplasm, with the nuclear membrane physically separating the two processes and allowing for temporal separation as well.
Step-by-step explanation:
We know that transcription and translation are spatially and temporally separated in eukaryotic cells because in eukaryotic cells, the DNA is contained inside the cell's nucleus and this is where transcription occurs. The newly synthesized RNA is then transported out of the nucleus into the cytoplasm.
Here, the ribosomes carry out the translation of RNA into proteins. The spatial separation is due to the physical barrier of the nuclear membrane, while the temporal separation is facilitated through RNA processing and transport mechanisms that ensure transcription and translation do not occur simultaneously as they do in prokaryotic cells.