Final answer:
The density of the ice cube is 0.92 g/cm³, which is answer A. For the gold bar, the density is approximately 19.4 g/cm³ when calculated, but it is commonly known to be 19.3 g/cm³. Gold is one of the densest substances, much denser than ice.
Step-by-step explanation:
Density Calculations for Ice and Gold
The density of a substance can be calculated using the formula: density (d) = mass / volume. For the ice cube, with a mass of 11 g and a volume of 12 cm³, the density is calculated as 0.92 g/cm³, which is answer A. For the gold bar, with a mass of 9.7 kg (or 9700 g, since 1 kg = 1000 g) and a volume of 500 cm³ (calculated as 20 cm × 5 cm × 5 cm), the density is 9700 g ÷ 500 cm³ = 19.4 g/cm³ (rounded from 19.4 to match the reference value of 19.3 g/cm³ for gold).
Gold is known for being one of the densest substances on Earth, with a typical density of 19.3 g/cm³, whereas ice has a lower density, less than that of water, which allows it to float. The pressure and temperature conditions greatly influence the density of materials; for example, ice is less dense than water because of the way its molecules are structured when frozen.