Step 1: Cell theory states that all living organisms are composed of cells, and the cell is the basic structural and functional unit of life.
Step 2: Statement I is incorrect because animal cells do not have a cell wall.
Step 3: Statement II is incorrect because not all living cells directly require glucose; some organisms use other sources of energy or synthesize glucose themselves.
Step 4: Statement III correctly represents a fundamental principle of cell theory.
Therefore, only statement III is correct.