Maths Lesson on Calculating Density
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Density
ACTIVETEACH.COMKEY 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
volumeDensity =
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:
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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
volumeStep 1: calculate the volumeStep 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)
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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 cm2.5 cm
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The mass of this block of wood is 9 kg.
Volume = x x = cm3
Density = = g/cm3
25 cm
30 cm15 cm
MARK ITMARK IT
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The mass of this block of wood is 9 kg.
Volume = x x = cm3
Density = = 0.8 g/cm3
25 cm
30 cm15 cm
15 3025
9000
11250
11250
9 kg = 9000 grams9 kg = 9000 grams
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