Starter quiz
- The ______ of a substance is measured as the substance's mass per unit of volume.
- speed
- volume
- pressure
- density ✓
- mass
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- A metal block has a mass of 600 grams and a volume of 200 cm. What is the density of the metal?
- 0.3 g/cm
- 120 000 g/cm
- 3 g/cm ✓
- 30 g/cm
-
- A rectangular block has a density of 2.5 g/cm, a length of 10 cm, a width of 4 cm, and a height of 5 cm. What is the mass of the block? Give your answer in g.
- '500' ✓
- A cylinder has a radius of 3 cm, a height of 10 cm, and is made of a material with a density of 7.8 g/cm. What is the mass of the cylinder? Give the answer in g to the nearest integer.
- '2205' ✓
- A piece of wood has a mass of 240 grams and a density of 0.6 g/cm³. What is the volume of the wood? Give your answer in cm.
- '400 ' ✓
- Put the following densities in order, starting with the densest at the top.
- 1⇔Osmium has a mass = 22 600 kg and a volume = 1 m
- 2⇔Iridium has a mass = 1120 kg and a volume = 0.05 m
- 3⇔Platinum has a mass = 64.5 kg and a volume = 0.003 m
- 4⇔Gold has a mass = 1.93 kg and a volume = 0.0001 m
- 5⇔Silver has a mass = 21 000 kg and a volume = 2 m
Exit quiz
- What are the benefits when combining metals to make an alloy compared to pure metals?
- The alloy can be stronger. ✓
- The alloy can provide greater resistance to corrosion. ✓
- The alloy can improve durability. ✓
- Every alloy becomes shinier.
- Every alloy is more expensive than its parts.
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- A block of metal A has a mass of 400 g and a volume of 50 cm. A block of metal B has a mass of 300 g and a volume of 75 cm. What is the combined density of the two metals?
- 5.6 g/cm ✓
- 5.5 g/cm
- 5.4 g/cm
- 5.3 g/cm
-
- Liquid X has a density of 1.2 g/cm and a volume of 100 cm. Liquid Y has a density of 0.8 g/cm and a volume of 150 cm. What is the combined density of liquid X and Y?
- 1 g/cm
- 1.1 g/cm
- 0.96 g/cm ✓
- 0.98 g/cm
- 0.9 g/cm
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- A piece of wood (density 0.5 g/cm, volume 100 cm) is glued to a piece of plastic (density 1.4 g/cm, volume 50 cm). What is the average density of the combined piece?
- 0.8 g/cm ✓
- 0.85 g/cm
- 0.95 g/cm
- 0.9 g/cm
-
- An alloy is made by combining 3 kg of metal K (density 5 g/cm) with 2 kg of metal L (density 3 g/cm). What is the density of the alloy in g/cm? Give your answer to 1 s.f in g/cm^3.
- '4' ✓
- A tank contains 2 litres of oil (density 0.9 g/cm) and 3 litres of water (density 1 g/cm). What is the density of the mixture in kg/m?
- '960' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Two densities can be combined to give an overall density.
Common misconception
Pupils understand they multiply by 100 when converting m to cm, but when converting m^3 to cm^3, fail to recognise the need to multiply by 100^3.
Illustrate a 1m^2 square and the equivalent 100cm^2 square, calculating the area and allowing pupils to see the equivalence of 1 m^2 = 10 000 cm^2. Also apply this to a 1m^3 and 100cm^3, thus allowing students to see 1m^2 = 100 000 cm^3.
Keywords
Density - The density of a substance is measured as the substance's mass per unit of volume.
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