Final answer:
To find the mass of a copper block in kilograms, calculate the block's volume, multiply by the density of copper (8.92 g/cm³), and convert from grams to kilograms by dividing by 1000. Thus, the mass of the copper block would be 0.21408 kilograms.
Step-by-step explanation:
The student's question involves calculating the mass of a copper block using its density. First, the volume of the copper block must be calculated. If the dimensions of the block are provided, they should be multiplied together to find the volume. After having the volume, the mass of the copper block in grams can be found by multiplying the volume by the density of copper, which is 8.92 g/cm³. Once the mass is calculated in grams, it can be converted to kilograms by dividing by 1000 (since there are 1000 grams in a kilogram).
For example, if a rectangular block of copper has dimensions 4 cm x 3 cm x 2 cm, the volume would be:
Volume = length × width × height = 4 cm × 3 cm × 2 cm = 24 cm³.
The mass in grams would then be:
Mass = density × volume = 8.92 g/cm³ × 24 cm³ = 214.08 g.
To convert to kilograms:
Mass (kg) = Mass (g) / 1000 = 214.08 g / 1000 = 0.21408 kg.
The mass of the copper block would be 0.21408 kilograms.