Final answer:
100cm3 of gold and 100cm3 of aluminum have the same volume, but gold's greater density means its mass is significantly heavier.
Step-by-step explanation:
The volumes of 100cm3 of gold and 100cm3 of aluminum are equal because the volume is a measure of the space an object occupies, independent of its material properties. However, these two materials will greatly differ in mass because the density of gold is significantly greater than that of aluminum. Density is defined as mass per unit volume, and gold has a density of approximately 19.3 grams/cm3 while aluminum's density is about 2.7 grams/cm3. Therefore, 100cm3 of gold will be much heavier than 100cm3 of aluminum, despite having the same volume.
Learn more about Volume and Density