Capacity
A bottle of water says "1,5 L". A carton of juice says "200 ml". The tank of a swimming pool is measured in thousands of litres. All of these are capacity: how much fits inside a container.
The unit of capacity: the litre
To celebrate the end of term, the Year 7 students have bought several bottles of orange juice. If each bottle has a capacity of $1,5\ L$, express this amount in…
To celebrate the end of term, the Year 7 students have bought several bottles of orange juice. If each bottle has a capacity of $1,5\ L$, express this amount in centilitres ($cL$) and in millilitres ($mL$).
The litre ladder
Match each of the following objects with the unit of capacity of the metric system that you think is most suitable for measuring what fits inside it: An Olympic swimming…
Match each of the following objects with the unit of capacity of the metric system that you think is most suitable for measuring what fits inside it:
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An Olympic swimming pool.
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A can of cola.
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A syringe for giving a vaccine.
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A mop bucket.
Complete the following statements by converting to the required units: a) $25 L = ??? dL$ b) $4.500 mL = ??? L$ c) $0,75 kL = ??? L$ d) $32 cL = ??? mL$
Complete the following statements by converting to the required units:
- a) $25 L = ??? dL$
- b) $4.500 mL = ??? L$
- c) $0,75 kL = ??? L$
- d) $32 cL = ??? mL$
Changing units
An athlete carries a hydration pack for her training. If she has filled the reservoir with $1.200\ mL$ of water and then added an extra bottle of $0,5\ L$, how many…
An athlete carries a hydration pack for her training. If she has filled the reservoir with $1.200\ mL$ of water and then added an extra bottle of $0,5\ L$, how many litres of water does she carry in total?
In the Science laboratory, the students are using a measuring cylinder. If the measuring cylinder shows a capacity of $35\ cL$, express this measurement in compound form…
In the Science laboratory, the students are using a measuring cylinder. If the measuring cylinder shows a capacity of $35\ cL$, express this measurement in compound form (that is, using litres and centilitres).
Complex and incomplex forms
A farmer has a small tank to water his pots, with a capacity of $2\ dal$ and $5\ L$. How many $1\ L$ bottles can he fill when the tank is completely full?
A farmer has a small tank to water his pots, with a capacity of $2\ dal$ and $5\ L$. How many $1\ L$ bottles can he fill when the tank is completely full?
Order the following measurements of capacity from smallest to largest. To compare them, first convert them all to litres ($L$): $0,007\text{ kL}$ $75\text{ dl}$…
Order the following measurements of capacity from smallest to largest. To compare them, first convert them all to litres ($L$):
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$0,007\text{ kL}$
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$75\text{ dl}$
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$725\text{ cl}$
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$7.100\text{ ml}$
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$0,8\text{ dal}$
The litre and the cubic decimetre
There is a very useful relationship: $1\ dm^3$ (a cube with sides of $10\ cm$) has exactly the capacity of $1\ L$. So, when you know the volume of a container in $dm^3$, you already know how many litres it holds.
Remember that in the metric system there is a direct relationship between volume and capacity. If we have a cube-shaped container with a volume of exactly $1\ dm^3$, how…
Remember that in the metric system there is a direct relationship between volume and capacity. If we have a cube-shaped container with a volume of exactly $1\ dm^3$, how many liters of water fit inside it? And how many milliliters fit in a volume of $1\ cm^3$?
(Figure not to scale.)
An aquarium is in the shape of a cuboid (rectangular prism) with the dimensions shown in the image. Knowing that $1\text{ dm}^3$ is exactly equivalent to…
An aquarium is in the shape of a cuboid (rectangular prism) with the dimensions shown in the image. Knowing that $1\text{ dm}^3$ is exactly equivalent to $1\text{ litre}$ of capacity:
- a) Calculate the volume of the aquarium in $\text{dm}^3$.
- b) How many litres of water are needed to fill the aquarium completely?
- c) If the aquarium currently contains $45.000\text{ ml}$ of water, how many litres are needed to fill it?
An aquarium in the shape of a cuboid has interior dimensions of $80\text{ cm}$ long, $30\text{ cm}$ wide and $50\text{ cm}$ high. For safety reasons, it is recommended…
An aquarium in the shape of a cuboid has interior dimensions of $80\text{ cm}$ long, $30\text{ cm}$ wide and $50\text{ cm}$ high. For safety reasons, it is recommended not to fill it to more than $\frac{4}{5}$ of its total capacity. If it currently contains $84\text{ litres}$ of water, how many $250\text{ cl}$ buckets are needed to reach the recommended maximum level?