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A nugget of gold has a mass of 965g and a volume of 50cm³. What is the density?

15. A nugget of gold has a mass of 965g and a volume of 50cm³. What is the density?
16. What is the density of the cube if the mass is 24g? W = 2cm, H = 2cm, L = 2cm
17. Use the image below to find the density of a ring that has a mass of 32g.
18. A metal ruler has a mass of 42g and a volume of 10cm³. What is the density?

Answer

  1. The density is calculated using the formula: Density = Mass / Volume. For the nugget of gold, Density = 965g / 50cm³ = 19.3g/cm³.

  2. The volume of the cube is calculated as Volume = W × H × L = 2cm × 2cm × 2cm = 8cm³. Therefore, the density is Density = 24g / 8cm³ = 3g/cm³.

  3. Using the image, determine the volume of the ring by the water displacement method. If the initial water level is 20mL and the final water level is 22mL, the volume of the ring is 2mL. Therefore, the density is Density = 32g / 2mL = 16g/mL.

  4. The density of the metal ruler is calculated as Density = Mass / Volume = 42g / 10cm³ = 4.2g/cm³.

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