8.06 Units of volume and capacity
Identify the appropriate unit for measuring the following:
The volume of a sand pit.
The volume of a match box.
The volume of an office building.
The volume of swimming pool.
The volume of sim card.
The cube shown in the diagram has a volume of 1\text{ cm}^3:
Find its volume in cubic milimetres.
Convert the following volumes to cubic milimetres (\text{mm}^3):
3.5 \text{ cm}^3
4.2 \text{ m}^3
19 \text{ cm}^3
Convert the following volumes to cubic metres (\text{m}^3):
51\,980\,000 \text{ cm}^3
1\,070\,000\,000 \text{ mm}^3
Convert the following volumes to cubic centimetres (\text{cm}^3):
47\,600 \text{ mm}^3
8.12 \text{ m}^3
7000 \text{ mm}^3
Convert the following as specified:
43\,\text{m}^3 to \text{cm}^3
18\,\text{cm}^3 to \text{mm}^3
12\,000\,000 \,\text{cm}^3 to \text{m}^3
9000 \,\text{mm}^3 to \text{cm}^3
8.97 \,\text{m}^3 to \text{cm}^3
9.77 \,\text{cm}^3 to \text{mm}^3
96\,900 \,\text{cm}^3 to \text{m}^3
92\,200 \,\text{mm}^3 to \text{cm}^3
Identify the appropriate unit for measuring the following:
The capacity of a dose of vaccine injection.
The capacity of a bottle of washing detergent.
What metric unit represents one thousandth of a litre?
Convert the following to mililitres (\text{mL}):
6 \text{ L}
1.54 \text{ L}
0.5 \text{ kL}
0.025 \text{ kL}
21.3 \text{ L}
7.03 \text{ L}
1.05 \text{ kL}
0.009 \text{ kL}
Convert the following to litres (\text{L}):
5000 \text{ mL}
4920 \text{ mL}
1.67 \text{ kL}
10 \text{ kL}
420\,000 \text{ mL}
11\,080 \text{ mL}
96 \text{ kL}
200 \text{ kL}
Convert the following to kilolitres (\text{kL}):
8000 \text{ L}
6570 \text{ L}
950 \text{ L}
80 \text{ L}
70\,000 \text{ mL}
1\,850\,000 \text{ mL}
156\,000 \text{ mL}
1300 \text{ mL}
Convert the following to cubic centimetres (\text{cm}^3):
1 \text{ mL}
8000 \text{ mL}
40 \text{ mL}
4.47 \text{ mL}
22 \text{ kL}
0.09 \text{ kL}
Convert the following to litres (\text{L}):
6750 \text{ cm}^3
18.62 \text{ m}^3
Convert the following to cubic metres (\text{m}^3):
6000 \text{ L}
34 \text{ kL}
Convert the following to kilolitres (\text{kL}):
71.5 \text{ m}^3
7\,730\,000 \text{ cm}^3
Convert a volume of 72\ 000 \text{ cm}^3 to:
Litres (\text{L})
Kilolitres (\text{kL})
Convert the following as specified:
68\,000 \, \text{mL} to L
52 \,\text{L} to mL
99\,000 \,\text{L} to kL
63 \,\text{kL} to L
1 \,\text {cm}^3 to mL
1 \,\text{mL} to \text{cm}^3
36 \,\text {cm}^3 to mL
720\,\text{mL} to \text{cm}^3
1 \,\text{m}^3 to kL
1 \,\text{kL} to \text{m}^3
83 \,\text{m}^3 to kL
270 \,\text{ kL} to \text{m}^3
0.4 \,\text{L} to mL
3.8 \,\text{mL} to L
1.67 \,\text{kL} to L
84.6 \,\text{ L} to kL
Find the volume of the following solid in cubic centimetres:
Find the volume of the following solids in cubic millimetres:
A landscaper needs to move soil across the garden.
Approximately what capacity of soil can be carried by a wheelbarrow in one trip?
Quiana bought a 400\text{ mL} bottle of soft drink. How many litres of soft drink did she buy?
This water bottle has a volume of 700 \text{ cm}^3.
Find its capacity in millilitres.
Find its capacity in litres.
This juice box contains 1600 \text{ mL} of juice.
Find its volume in cubic centimetres.
Calculate the length of the juice box if it is 8 \text{ cm} tall and 5 \text{ cm} wide.
A cubic box has capacity of 343\text{ L}. Find its volume in cubic centimetres.
A jug has a volume of 12\,395 \text{ cm}^3. How many litres of soda water can it hold? Round your answer to three decimal places.
A backyard pond can hold 12 \text{ m}^3 of water when full.
How many litres of water does the pond hold?
The garden hose has a flow rate of 40 \text{ L/min}. How long, in hours, will the pond take to fill from empty?