Calculating density and measuring volume | Combined science

Starter quiz

Which of the following quantities does a measuring cylinder measure?

area

mass

height

volume ✓
Which of the following quantities means ‘amount of matter’?

weight

mass ✓

volume

charge
Here is a mathematical formula: $c=\frac{d}{e}$ . Rearrange the formula to make $d$ the subject.

$d=\frac{c}{e}$

$d=\frac{e}{c}$

$d=ec$ ✓
Here is a mathematical formula: $f=\frac{g}{h}$ . Rearrange the formula to make $h$ the subject.

$h=\frac{f}{g}$

$h=\frac{g}{f}$ ✓

$h=gf$
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.

7.955

⇔

7.96 ✓

7.946

⇔

7.95 ✓

7.9449

⇔

7.94 ✓

7.9032

⇔

7.90 ✓

7.999

⇔

8.00 ✓
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

1.7 m/s ✓

1.67 m/s

1.666666667 m/s

Exit quiz

Which of the following instruments are used to measure length?

Vernier callipers ✓

displacement can

micrometer ✓

microammeter

measuring cylinder
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.

The volume of water collected equals the volume of the object. ✓

The density of water collected equals the density of the object.
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

8.0 g/cm³ ✓

14 g/cm³
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.

'7.46' ✓
The density of diamond is 3500 kg/m³. What is the density of diamond in g/cm³?

3.5 g/cm³ ✓

350 g/cm³

3500 g/cm³

35 000 g/cm³

3 500 000 g/cm³
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.

'610' ✓

Worksheet

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Lesson Details

Key learning points

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

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.

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