Final answer:
The mass of a gold brick can be calculated using its density and dimensions. To calculate the mass, multiply the density by the volume. In this case, the mass of the gold brick is 7732 grams.
Step-by-step explanation:
The mass of a gold brick can be calculated using its density and dimensions. Density is defined as the mass-to-volume ratio of a substance. For gold, the density is 19.33 g/cm³. To calculate the mass of the gold brick, multiply the density by the volume.
Given dimensions: 4.0cm x 5.0cm x 20.0 cm
Volume = length x width x height = 4.0 cm x 5.0 cm x 20.0 cm = 400 cm³
Mass = density x volume = 19.33 g/cm³ x 400 cm³ = 7732 g
Therefore, the mass of the gold brick is 7732 grams.