3 Three bar models can also help us convert mixed units.
2 l 500 ml is equal to: 1000 ml + 1000 ml + 500 ml = 2500 ml We can also say 2 × 1000 = 2000 ml and then add the extra 500 ml
1000 ml
1000 ml
500 ml
2 l 500 ml
1 Sketch bar models to show how to convert these capacities. (a) 10 l = ml (b) 9 l = ml (c) 3 l 500 ml =
ml
(d) 5 1 _
ml (e) 4.5 l =
2 l =
ml
2 Solve these problems. Will you need to convert any measurements? (a) How much more juice is in measuring cylinder A than in B? (b) The capacity of a bucket is 10 times as much as a glass. The bucket has a capacity of 4500 ml. What is the capacity of the glass? (c) There is 3 litres of lemon drink, 1 _ 2 litre of A 800 1l 200 400 600 ml ml ml ml B 500 400 100 200 300 ml 800 1l 200 400 600 ml ml ml ml 3 Work in a small group. Try out this investigation. Is it always, sometimes or never true that taller containers have a greater capacity than shorter containers? Remember to measure accurately. Which units will you choose? Think about how you will represent your results. What do you notice? lime drink and 800 ml of orange drink. How much fruit drink is there in total?
500
ml
400
300
200
100
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