TOPIC
30
Capacity and Volume
Strand: Measures
Strand unit: Capacity
Curriculum Objectives
659
660
661
Select and use appropriate instruments of measurement.
Rename measures of capacity.
Find the volume of a cuboid experimentally.
Looking back: What the 5th class programme covered
1. Estimating and measuring capacity using appropriate instruments of measurement.
2. Estimating and measuring capacity using appropriate metric units.
3. The concept of volume is new to 6th class.
Maths skills used in this topic
1. Implementing: Implement suitable standard and non-standard procedures with a variety of
tools and manipulatives.
2. Understanding and recalling: Understand and recall facts, definitions and formulae.
Concrete materials
Graduated containers
Vocabulary
Volume
Teaching points
1. Children should have an ability to estimate quantities of water with a reasonable degree of
accuracy. They should also consider the amount of water we consume every day and the
many ways in which water is used. The importance of water as a finite natural resource
should not be underestimated. Water conservation is becoming an everyday issue more and
more, despite the abundance of precipitation delivered to us by our temperate climate. The
children may also consider how countries suffer from drought and the consequences of this.
2. Estimating games are always great fun. For example, an individual or team game, with as
many players as you like on a team, can be played. A quantity of water is poured into a vessel
and the children have to estimate the amount. The nearer the estimate, the more points are
earned. You might have a scoring scheme as follows:
Within 300m¬ of actual amount: 1 point
Within 200m¬ of actual amount: 2 points
Within 100m¬ of actual amount: 3 points
114
Oral and mental activities
Target board 9:
List measurements that are equivalent. Show each measure as a fraction of a litre. What must I add
to each to measure to make 1 litre? List the measure in the first row in order of size, starting with the
smallest and then largest. Tell me something that you buy in litres. Tell me something that you buy in
m¬. How much liquid is there in various drinks, school milk, Capri Suns, yoghurt, etc. Create many
oral problems like this.
Counting stick:
Count in litres, 12 litres, 500m¬, 10m¬, etc.
Topic suggestions
1. Most children should find much of the work in converting litre to millilitres and vice versa
straightforward as the procedure has been met before in converting km to m and kg to g.
2. Question B on page 186 in the text mentions blood types and blood donations. Depending
on the maturity of your class, it might be apposite to emphasise how important it is that
healthy and willing adults donate blood from time to time.
3. Volume and capacity are closely related. The capacity of a vessel is the amount of liquid it
holds. The volume of an object is the amount of liquid it displaces if submerged. Allow the
children to discover the capacity formula.
Activity A
How much water is used during these activities? Ask the children to estimate the number of
litres. Remind them first of how much a litre is. The amounts vary according to brand, ratings,
pressure, etc. but the following are fairly typical. Some experiments could be carried out in
class to determine the amounts.
1. RDA water: The standard recommendation of water intake for children is at least 6–8
glasses (1.5–2 litres) a day, drank regularly throughout the day ensuring that plenty of
additional fluid is drank during warm weather and/or when exercising. Discuss if tea,
coffee, soft drinks constitute part of this RDA.
2. Washing teeth with tap running: 2 minutes approx 8¬
3. Shower: Gravity shower 35¬, power shower 80¬
4. Bath: Half full approximately 80¬
5. Washing machine cycle: Approximately 65¬
6. Dishwasher: 25¬
7. Tap running moderately releases 4–5¬ per minute
8. Dual half flush 5¬, full flush 8¬
9. 1¬ of boiling water is used to cook vegetables, an electric kettle holds about 1.7¬.
10. Car wash with bucket 4 x 8¬ buckets = 32¬, with a hose up to 250¬, at a garage 160¬. Car
washes are usually a better alternative to washing your car at home as they typically use
less water than that used when cars are washed at home. In addition, many commercial
car washes reclaim and recycle their wash water.
11. Industry uses lots of water for washing, cooling, etc. One statistic worth mentioning is that
it takes 8¬ of water to make the plastic for a bottle of water!
12. A hose is the same as a tap on full pressure and so uses about 8¬ per minute. Discuss
irrigation systems used in how countries to supply water to crops.
115
Differentiation
Lower attainers:
Separate activity sheet
Higher attainers:
1. Separate activity sheet
2. Find out about Archimedes and why he shouted ‘eureka’.
Topic
Topic
30
30
1. Fill the containers with the correct amount of liquid:
(a) 900m¬
(b) 90m¬
(c)
1
4
litre
(d) 850m¬
1. Will each container hold more or less than 1 litre?
(e) 0.3¬
(f)
3
5
litre
(a) Builder’s bucket ____ (b) Kettle ____
(c) Cup ____
(e) Ink cartridge ____
(g) Fuel tank in car ____ (h) Egg cup ____
(f) Mug ____
(d) Baby’s beaker ____
2. A litre of pure water at 4°C weighs 1kg. What is the weight of the following amounts of pure
water?
(b) 4¬ ____
(c) 12¬ ____
(f) 131m¬ ____
(g) 16m¬ ____
(i) 1 ki¬o¬itre ____
(j)
(d) 3 18 ¬ + 2¬ 49m¬ ____
4. (a) 9 12 ¬ – 3.141¬ ____
17
¬ – 3.2¬ ____
(d) 51000
2. Change to litres and millilitres e.g. 5.238¬ = 5l 238m¬
(b) 3.449¬ ____
(c) 8.106¬ ____
(d) 9.113¬ ____
(f) 2.159¬ ____
(g) 2.36¬ ____
(h) 2.036¬ ____
(j) 7.06¬ ____
(k) 7.6¬ ____
¬ ____
(k)
7
20
¬ ____
(h) 5m¬ ____
(¬)
7
25
¬ ____
(b) 6.07¬ + 2 12 ¬ ____
(c) 9 45 ¬ + 2.167¬ ____
13
(e) 7 100
¬ + 7.013¬ ____
17
(f) 21000
¬ + 2.081¬ ____
(b) 8.111¬ – 3 14 ¬ ____
2
(c) 6 100
¬ – 159m¬ ____
(e) 3 78 ¬ – 2.3¬ ____
(f) 9 35 ¬ – 6¬ 25m¬ ____
much water is in the bath? _________________
6. What is the capacity of 8 jars if one jar holds 465m¬? _________________
(¬) 5.02¬ ____
7. What is the capacity of 1 jar if 9 jars holds 6¬ 426m¬? _________________
8. A gardener mixed 4 14 ¬ of water with 225m¬ of weedkiller. How many complete square metres of
3. Change to millilitres e.g. 3¬ 405m¬ = 3405m¬
(a) 4¬ 236m¬ ____
(b) 5¬ 279m¬ ____
(c) 7¬ 219m¬ ____
(d) 8¬ 210m¬ ____
(e) 8¬ 21m¬ ____
(f) 3¬ 3m¬ ____
(g) 5¬ 151m¬ ____
(h) 5¬ 15m¬ ____
(i) 5¬ 150m¬ ____
(j) 6¬ 7m¬ ____
(k) 8¬ 20m¬ ____
lawn can she treat if 100m¬ of the mixture treats 1m2? _________________
9. A recipe says to mix 480m¬ of milk with 100m¬ of water. How much water shou¬d I use if I only
have 360m¬ of milk? _________________
(¬) 4¬ 400m¬ ____
10. The instructions on a can of paint direct to thin the paint with 10% white spirit.
4. What is the volume of each cuboid?
(a) How much white spirit should I use if there are 0.45¬ of paint in the tin? _________________
Each cube is 1cm3
(b) How much thinned paint will I have? _________________
5. Calculate the volume:
11. During a hot spell 12 12 % of the water in a garden pool evaporated. There is now 168¬ in the poo¬.
(a) L 3cm D 5cm H 2cm
How much water was in the pool before the hot spell? _________________
____________________
12. Can you figure out the volume of each of these cuboids? __________, __________, __________
(b) L 5cm D 4cm H 6cm
(a)
____________________
Date: ___________________
180
Page 180: Capacity and Volume
(b)
(c)
© Folens Photocopiables
____________________
© Folens Photocopiables
(c) L 8cm D 2cm H 5cm
Name: _______________________________________
7
8
5. A bath contained 14 34 ¬ of water. A further 6.2¬ of hot and 6¬ 20m¬ of cold water were added. How
(a) 2.359¬ ____
(e) 3.313¬ ____
(i) 7.006¬ ____
(d) 4 12 ¬ ____
(a) 2¬ ____
(e) 5 34 ¬ ____
3. (a) 3 34 ¬ + 2¬ 155m¬ ____
13. Try this:
You can calculate the volume of an object by placing it in a basin that is brim full of water and
collecting the water that overflows. Measure the overflow amount in a jug and this will tell you
the volume of the object. _________________
Name: _______________________________________
Date: ___________________
Page 181: Capacity and Volume
181
Linkage
Number: Operations (adding and subtracting)
Shape and Space: 3D shapes
Integration
SESE Science: Accurate measurement, calibration of instruments and grading containers
SESE Geography: Conservation of water
Maths at home/parental involvement
Survey
Estimate the quantity of water used in your household in a day. How many times is the kettle
boiled? Is the dishwasher used every day? Is the washing machine used every day? How much
water is used by the shower or bath? How much water is drank? What other ways might water
be used at home? (making ice cubes, watering the garden, diluting chemicals and medicines,
filling the fish pond, heating systems (water filled radiators), hot water bottle, etc.).