Final answer:
The mass of the boat is calculated using the density times volume formula, resulting in a mass of 3.40 x 10^8 grams.
Step-by-step explanation:
To determine the mass of the boat given its volume and density, we can use the formula:
mass = density × volume.
Given the density of the boat is 5.66 × 104 g/L and the volume is 6 × 103 L, we calculate the mass as follows:
mass = (5.66 × 104 g/L) × (6 × 103 L) = 3.396 × 108 g
So, the mass of the boat is 3.396 × 108 grams, which can be rounded off to 3.40 × 108 grams for simplicity, making option (d) the correct answer. This method of relating density and volume facilitates precise determination of an object's mass, essential in understanding its physical properties.