Final answer:
The range of possible densities for the wood is 0.688 g/mL to 0.789 g/mL.
Step-by-step explanation:
The range of possible densities for the wood can be determined by comparing its density with the densities of gasoline and ethanol.
Since the wood sinks in gasoline with a density of 0.688 g/mL and floats in ethanol with a density of 0.789 g/mL, the density of the wood must be greater than 0.688 g/mL and less than 0.789 g/mL.
Therefore, the range of possible densities for the wood is 0.688 g/mL to 0.789 g/mL.