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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?
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?
19. What is the density of the rectangular prism if the mass is 90g?
20. Use the image below to find the density of a rock that has a mass of 60g.

Answer

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

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

  3. To find the density of the ring, use the formula: Density = Mass / Volume. The volume is determined by the water displacement method shown in the image. If the initial volume is 20mL and the final volume is 24mL, then the volume of the ring is 4mL. Therefore, Density = 32g / 4mL = 8 g/mL.

  4. The density of the metal ruler is calculated using the formula: Density = Mass / Volume. Therefore, Density = 42g / 10cm³ = 4.2 g/cm³.

  5. The density of the rectangular prism is calculated using the formula: Density = Mass / Volume. The volume of the prism is V = L × W × H = 5cm × 2cm × 1cm = 10cm³. Therefore, Density = 90g / 10cm³ = 9 g/cm³.

  6. To find the density of the rock, use the formula: Density = Mass / Volume. The volume is determined by the water displacement method shown in the image. If the initial volume is 35mL and the final volume is 45mL, then the volume of the rock is 10mL. Therefore, Density = 60g / 10mL = 6 g/mL.

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