Final answer:
It will take approximately 6.3 minutes for the block to burn completely.
Step-by-step explanation:
To calculate the time it will take for the block of wood to burn completely, we need to first calculate its mass. We can use the density formula: density = mass/volume. Rearranging the formula, mass = density * volume. Converting the volume to meters cubed and density to kilograms per meter cubed, we have mass = 757 kg/m³ * 0.000125 m³ = 0.0946 kg. Now, we can calculate the time using the rate of burning: time = mass / rate = 0.0946 kg / 0.015 kg/min = 6.3 min. Therefore, it will take approximately 6.3 minutes for the block to burn completely.