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Year 11
Higher

Compound measures for density

I can use compound measures for density.

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New
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Year 11
Higher

Compound measures for density

I can use compound measures for density.

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Lesson details

Key learning points

  1. Density can be calculated by dividing the mass by the volume of the solid.
  2. The units for mass and volume determine the units for density.
  3. By rearranging the formula, you can calculate either mass or volume.

Keywords

  • Density - The density of a substance is measured as the substance's mass per unit of volume.

  • Mass - The mass of a substance is a measure of the quantity of matter in the substance.

Common misconception

Giving a density answer in the wrong units.

Read the question carefully and check the units of the mass and the volume. It may be necessary to convert between metric units.

Show the video of a cannonball floating in mercury. There is also one of an anvil floating in mercury.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Starter quiz

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6 Questions

Q1.
Pace is the rate of movement. It is measured as the time taken per unit of .
Correct Answer: distance
Q2.
A car travels 12 miles in 15 minutes what is its average speed? Make sure you include the unit with your answer.
Correct Answer: 48 mph, 48mph
Q3.
Match each scenario with the correct speed.
Correct Answer:87.5 kilometres in 1 hour 45 minutes,50 km/h

50 km/h

Correct Answer:30 km in 20 minutes,90 km/h

90 km/h

Correct Answer:112.5 kilometres in 2 hours 30 minutes,45 km/h

45 km/h

Correct Answer:550 kilometres in 3 hours 20 minutes,150 km/h

150 km/h

Q4.
Calculate the speed during the last part of the journey. Remember to include the units of your answer.
An image in a quiz
Correct Answer: 32 km/h, 32km/h, 32 kmh, 32kmh, 32 kilometres per hour
Q5.
The average speed of a helicopter is 160 mph. How far can it travel in 1 hour 15 minutes?
Correct Answer: 200 km, 200km, 200 kilometres, 200
Q6.
The distance from London to Athens is approximately 1500 miles. If a helicopter travels at an average speed of 160 mph. How long will the journey take? Give your answer as an exact answer in hours.
Correct Answer: 9.375, 9.375 hours, 9.375 hrs, 9.375 hr

Exit quiz

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6 Questions

Q1.
The density of a substance is measured as the substance's mass per unit of .
Correct Answer: volume
Q2.
The volume of an object is 150 $$cm^3$$ and has a mass of 375 g. The density of the object is $$g/cm^3$$.
Correct Answer: 2.5, 2.50
Q3.
Match each with its correct density.
Correct Answer:Mass = 300 g and volume = 1.2 $$cm^3$$,250 $$g/cm^3$$

250 $$g/cm^3$$

Correct Answer:Mass = 8.75 kg and volume = 35 kg $$m^3$,0.25 $$kg/m^3$$

0.25 $$kg/m^3$$

Correct Answer:Mass = 400 g and volume = 16 $$cm^3$$,25 $$g/cm^3$$

25 $$g/cm^3$$

Correct Answer:Mass = 32 kg and volume = 12.8 $$m^3$$,2.5 $$kg/m^3$$

2.5 $$kg/m^3$$

Q4.
The density of an object is 120 $$g/cm^3$$, the mass of the object is 750 g. The volume of the object is $$cm^3$$.
Correct Answer: 6.25
Q5.
The density of an object is 12.8 $$g/cm^3$$, the volume of the object is 24.5 $$cm^3$$. Calculate the mass of the object. (Give your answer in grams).
Correct Answer: 313.6 g, 313.6g, 313.6, 313.6 grams, 313.6grams
Q6.
The density of this cuboid is 3.6 $$g/cm^3$$. Calculate the mass of the cuboid. (Give your answer in grams).
An image in a quiz
Correct Answer: 2160 g, 2160, 2160g, 2160 grams, 2160grams