Introduction:
K3[Al(C2O4)3] is a chemical compound that belongs to the class of coordination compounds. In this compound, potassium cations (K+) are coordinated with [Al(C2O4)3] anions. The correct name for this compound is potassium trioxalateoaluminate (III).

Explanation:
To understand the correct name of K3[Al(C2O4)3], let's break down the compound and analyze its components.

Potassium (K):
Potassium is an alkali metal with the chemical symbol K. It forms a cation (K+) when it loses one electron. In this compound, there are three potassium ions present.

[Al(C2O4)3]:
[Al(C2O4)3] is an anion that is coordinated with the potassium ions. It consists of an aluminum ion (Al3+) and three oxalate ions (C2O4^2-). The oxalate ion is a polyatomic ion that contains two carbon atoms and four oxygen atoms.

Naming:
To name coordination compounds, certain rules are followed. The name of the compound is derived from the names of its ligands (atoms or groups that are attached to the central metal ion) and the central metal ion itself.

In this compound, the ligand is oxalate (C2O4^2-) and the central metal ion is aluminum (Al3+). The name of the ligand is modified slightly to reflect its coordination. Oxalate becomes trioxalate because there are three oxalate ions coordinated with aluminum.

The oxidation state of aluminum in this compound is +3, which is indicated by the Roman numeral III in the name.

Finally, the name is completed by adding the name of the cation, which is potassium (K).

Conclusion:
K3[Al(C2O4)3] is correctly named as potassium trioxalateoaluminate (III). The name reflects the coordination of three oxalate ions with aluminum and the presence of three potassium ions in the compound.