Final answer:
To find the mass of the piece of magnesium, you can use the formula Mass = Density × Volume. Given the volume of the magnesium piece and the density of magnesium, you can calculate the mass to be 21.6 grams.
Step-by-step explanation:
To find the mass of the piece of magnesium, we can use the density of magnesium, which is the mass-to-volume ratio. From the given information, the density of aluminum is 2.70 g/cm³. Since magnesium has a similar density to aluminum, we can assume that the density of magnesium is also 2.70 g/cm³.
Given the volume of the magnesium piece is 8.000 cubic centimeters, we can calculate the mass using the formula Mass = Density × Volume. Plugging in the values, Mass = 2.70 g/cm³ × 8.000 cm³ = 21.6 grams. Therefore, the mass of the piece of magnesium should be 21.6 grams.