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Year 10
AQA
Higher

Calculating density and measuring volume

I can define density, calculate its value, and describe how to measure volume.

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New
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Year 10
AQA
Higher

Calculating density and measuring volume

I can define density, calculate its value, and describe how to measure volume.

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Lesson details

Key learning points

  1. Density is calculated using the equation: density = mass ÷ volume
  2. Density is measured in kg/m³ or g/cm³.
  3. The volume of water displaced by a submerged object is equal to the volume of the object.
  4. The dimensions of a regular cuboid can be measured accurately with Vernier callipers.
  5. The volume of a regular cuboid is calculated using the equation: volume = length × width × height

Keywords

  • Density - the mass per cubic metre (m³) or cubic centimetre (cm³) of a material

  • Kilograms per cubic metre - the unit for density when mass is measured in kilograms (kg) and volume in cubic metres (m³), written as kg/m³

  • Grams per cubic centimetre - the unit for density when mass is measured in grams (g) and volume in cubic centimetres (cm³), written as g/cm³

  • Vernier callipers - a device used to measure length precisely

  • Micrometer - a device used to measure length to a very high precision

Common misconception

Pupils confuse the mass or weight of an object with density.

Provide pupils with a range of objects of varying sizes they are going to measure the density of and, before starting to do so, ask the pupils to rank the objects in order of density with explanations. Compare results to the list after measurements.

Demonstrate the use of callipers carefully to the pupils. Digital callipers can make measurements much easier. Show the pupils how to check for zero errors with measuring instruments.
Teacher tip

Content guidance

  • Risk assessment required - equipment

Supervision

Adult supervision required

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.
Which of the following quantities does a measuring cylinder measure?
area
mass
height
Correct answer: volume
Q2.
Which of the following quantities means ‘amount of matter’?
weight
Correct answer: mass
volume
charge
Q3.
Here is a mathematical formula: $$c=\frac{d}{e}$$. Rearrange the formula to make $$d$$ the subject.
$$d=\frac{c}{e}$$
$$d=\frac{e}{c}$$
Correct answer: $$d=ec$$
Q4.
Here is a mathematical formula: $$f=\frac{g}{h}$$. Rearrange the formula to make $$h$$ the subject.
$$h=\frac{f}{g}$$
Correct answer: $$h=\frac{g}{f}$$
$$h=gf$$
Q5.
On the left is a set of numbers. On the right are the same numbers after rounding to three significant figures. Match each number on the left with its rounded value on the right.
Correct Answer:7.955,7.96

7.96

Correct Answer:7.946,7.95

7.95

Correct Answer:7.9449,7.94

7.94

Correct Answer:7.9032,7.90

7.90

Correct Answer:7.999,8.00

8.00

Q6.
A pupil observes that a beetle runs 5.0 m in 3.0 s, and uses the formula speed = distance ÷ time to calculate the speed. Which of the following is the most accurate way to write the beetle’s speed?
1.6 m/s
2 m/s
Correct answer: 1.7 m/s
1.67 m/s
1.666666667 m/s

Exit quiz

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6 Questions

Q1.
Which of the following instruments are used to measure length?
Correct answer: Vernier callipers
displacement can
Correct answer: micrometer
microammeter
measuring cylinder
Q2.
A displacement can contains water up to its spout. An object is placed in the water and sinks. A beaker collects the water that flows from the spout. Which of the following statements is correct?
The mass of water collected equals the mass of the object.
Correct answer: The volume of water collected equals the volume of the object.
The density of water collected equals the density of the object.
Q3.
A paper clip has mass 1.2 g and volume 0.15 cm³. What is the density of the paper clip in g/cm³?
0.13 g/cm³
0.18 g/cm³
1.4 g/cm³
Correct answer: 8.0 g/cm³
14 g/cm³
Q4.
The diagram shows a Vernier scale. The marking on the lower scale that lines up most closely with a marking on the upper scale has been circled. The reading on the scale is cm.
An image in a quiz
Correct Answer: 7.46, 7.46 cm, 7.46cm
Q5.
The density of diamond is 3500 kg/m³. What is the density of diamond in g/cm³?
Correct answer: 3.5 g/cm³
350 g/cm³
3500 g/cm³
35 000 g/cm³
3 500 000 g/cm³
Q6.
The metal osmium is the densest element that occurs naturally on Earth, with density 22.6 g/cm³. The mass of a cube of osmium with side length 3.00 cm is g. Give you answer to 3 sig. fig.
Correct Answer: 610, 610 g, 610g