Maths Lesson on Calculating Density

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This is a sample KS3 Maths lesson on calculating density from the Activeteach.com Interactive Maths Lessons. Visit Activeteach.com for more lessons and Resources.

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Density
ACTIVETEACH.COM
KEY STAGE 3 MATHEMATICS (YEAR 7)

These two containers A and B have the same capacity. A is
filled with sand and B is filled with beads.
We say that sand is more dense than beads.
We note that container B will be easier to lift than container A
mass
volume
Density =
Mass = density x volume
Volume =
mass
Density
A B
Density, mass and volume
are connected by the
relationships:
Density, mass and volume
are connected by the
relationships:
©Activeteach.com

A bag of salt measuring 5 cm x 6 cm x 7 cm weighs 218
grams.What is the density of the bag?
Density is amount of mass per unit volume.
Density =
mass
volume
Step 1:
calculate the volume
Step 1:
calculate the volume
Volume = 5 cm x 6 cm x 7 cm
= 210 cm3
Step 2:
Use formula to find
the density
Step 2:
Use formula to find
the density
Density =
218 g
210 cm3
= 1.04 g/cm3
(to 2 decimal places)
©Activeteach.com

A block of wood has with a density of 0.3 kg/cm3
is shown
below. Calculate the mass of this block of wood in a) kg b)
grams
Volume = 2.5 x 4 x 5 = 10 cm3
Mass = density x volume
= 0.3 x 10 = 3 kg
3 kg = 3000 grams
4 cm
5 cm
2.5 cm
©Activeteach.com

The mass of this block of wood is 9 kg.
Volume = x x = cm3
Density = = g/cm3
25 cm
30 cm
15 cm
MARK ITMARK IT
©Activeteach.com

The mass of this block of wood is 9 kg.
Volume = x x = cm3
Density = = 0.8 g/cm3
25 cm
30 cm
15 cm
15 3025
9000
11250
11250
9 kg = 9000 grams9 kg = 9000 grams
©Activeteach.com

Visit activeteach.com for more resources

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Maths Lesson on Calculating Density

1. Density ACTIVETEACH.COM KEY STAGE 3 MATHEMATICS (YEAR 7)

2. These two containers A and B have the same capacity. A is filled with sand and B is filled with beads. We say that sand is more dense than beads. We note that container B will be easier to lift than container A mass volume Density = Mass = density x volume Volume = mass Density A B Density, mass and volume are connected by the relationships: Density, mass and volume are connected by the relationships: ©Activeteach.com

3. A bag of salt measuring 5 cm x 6 cm x 7 cm weighs 218 grams.What is the density of the bag? Density is amount of mass per unit volume. Density = mass volume Step 1: calculate the volume Step 1: calculate the volume Volume = 5 cm x 6 cm x 7 cm = 210 cm3 Step 2: Use formula to find the density Step 2: Use formula to find the density Density = 218 g 210 cm3 = 1.04 g/cm3 (to 2 decimal places) ©Activeteach.com

4. A block of wood has with a density of 0.3 kg/cm3 is shown below. Calculate the mass of this block of wood in a) kg b) grams Volume = 2.5 x 4 x 5 = 10 cm3 Mass = density x volume = 0.3 x 10 = 3 kg 3 kg = 3000 grams 4 cm 5 cm 2.5 cm ©Activeteach.com

5. The mass of this block of wood is 9 kg. Volume = x x = cm3 Density = = g/cm3 25 cm 30 cm 15 cm MARK ITMARK IT ©Activeteach.com

6. The mass of this block of wood is 9 kg. Volume = x x = cm3 Density = = 0.8 g/cm3 25 cm 30 cm 15 cm 15 3025 9000 11250 11250 9 kg = 9000 grams9 kg = 9000 grams ©Activeteach.com

7. Visit activeteach.com for more resources

Maths Lesson on Calculating Density

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