Final answer:
The density of the given aluminum block is calculated by dividing the mass of the block (50 g) by its volume (10 mL), resulting in a density of 5 g/mL.
Step-by-step explanation:
To calculate the density of a block of aluminum, we use the formula: density = mass/volume. Given that the mass of the block is 50 g and the volume is 10 mL (or 10 cm³), we simply divide the mass by the volume.
So the density is calculated as follows:
Density = Mass / Volume
Density = 50 g / 10 mL
Density = 5 g/mL
Using the reference information, if one cubic centimeter of aluminum has a mass of 2.70 grams, then the density of aluminum is 2.70 g/cm³. However, in this specific exercise, the provided mass and volume of the aluminum block give us a density of 5 g/mL, which corresponds to answer choice (b).