Identify the appropriate unit for measuring the following:
The area of a football field.
The area of a country.
The area of the face of a coin.
The area of an A4 sheet of paper.
Justin uses the conversion equation 1 metre = 100 centimetres to draw two squares with the same area:
Find the area of square A in \text{m}^2.
Find the area of square B in \text{cm}^2.
State the conversion equation from \text{m}^2 to \text{cm}^2.
Convert the following areas to \text{cm}^2:
Convert the following areas to \text{m}^2:
Paul uses the conversion equation 1 kilometre = 1000 metres to draw two squares with the same area:
Find the area of square A in \text{km}^2.
Find the area of square B in \text{m}^2.
State the conversion equation from \text{km}^2 to \text{m}^2.
Convert the following areas to \text{ m}^2:
Convert the following areas to \text{km}^2:
The square shown in the diagram has an area of 1 \, \text{cm}^2:
Find its area in \text{mm}^2.
State the conversion equation from \text{cm}^2 to \text{mm}^2.
Convert the following areas to \text{cm}^2:
Convert the following areas to \text{mm}^2:
Convert the following areas as indicated:
5 \,\text{m}^2 to \text{cm}^2
6 \,\text{km}^2 to \text{m}^2
20\,000 \,\text{cm}^2 to \text{m}^2
1100 \,\text{mm}^2 to \text{cm}^2
12 \,\text{m}^2 to \,\text{cm}^2
11 \,\text{km}^2 to \text{m}^2
7 \,\text{cm}^2 to \,\text{mm}^2
7600 \,\text{cm}^2 to \text{m}^2
27\,000 \,\text{m}^2 to \,\text{km}^2
750 \,\text{mm}^2 to \,\text{cm}^2
10 \,\text{cm}^2 to \,\text{mm}^2
12\,500 \,\text{cm}^2 to \text{m}^2
1\,518\,000 \,\text{m}^2 to \,\text{km}^2
1520 \,\text{mm}^2 to \,\text{cm}^2
The following rectangle has side lengths given in centimetres:
Convert the dimensions of the rectangle into metres.
The following rectangle has side lengths given in millimetres:
The following triangle has dimensions given in millimetres:
Calculate the area of the following rectangles in square centimetres:
A rectangle with side lengths 0.16 \,\text{m} and 0.8 \, \text{m}.
Calculate the area of the following rectangles in square metres:
A rectangle with side lengths 0.018 \, \text{km} and 0.09 \, \text{km}.
Calculate the area of the following rectangles in square kilometres:
A rectangle with side lengths 2900 \,\text{m} and 600 \,\text{m}.
Convert 1 hectare to the following units:
Convert the following areas as indicated:
6 \,\text{ha} to \text{m}^2
2 \,\text{ha} to \text{m}^2
8.11 \,\text{ha} to \text{m}^2
10.7 \,\text{ha} to \text{m}^2
7.25 \,\text{ha} to \text{m}^2
26\,\text{ha} to \text{m}^2
26\,100 \,\text{m}^2 to \text{ha}
200\,000 \,\text{m}^2 to \text{ha}
84\,500 \,\text{m}^2 to \text{ha}
3\,200\,000 \,\text{m}^2 to \text{ha}
9\,750 \,\text{m}^2 to \text{ha}
16\,500\,000 \,\text{m}^2 to \text{ha}
Identify the appropriate unit for measuring the following:
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 \text{mm}^3.
Convert the following volumes to \text{mm}^3:
Convert the following volumes to \text{cm}^3:
Convert the following volumes to \text{m}^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
Find the volume of the following solid in cubic centimetres:
Find the volume of the following solids in cubic millimetres:
Determine whether the following is the same volume as 0.001 \text{ L}:
1 \text{ kL}
1 \text{ mL}
1 \text{ µL}
1 \text{ ML}
Determine whether the following is the same wattage as 1\,000\,000 \text{ W}:
1 \text{ kW}
1 \text{ μW}
1 \text{ MW}
1 \text{ GW}
Determine whether the following amounts is the same length of time as 8 \times 10^{ - 7 } \text{ s}:
0.8 \text{ µs}
0.8 \text{ ns}
8 \text{ µs}
8 \text{ ns}
800 \text{ µs}
800 \text{ ns}
Write down two amounts that have the same length of time as 6 \times 10^{ - 7 } \text{ s}:
Convert the following to litres:
2000 \text{ mL}
5 \text{ kL}
240 \text{ mL}
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
0.4 \,\text{L} to mL
3.8 \,\text{mL} to L
1.67 \,\text{kL} to L
84.6 \,\text{ L} to kL
Convert the following to the indicated unit, expressing your answer in scientific notation:
3.3 \text { L} to millilitres
2.2 \times 10^{10} \text{ µg} to grams
2.8 \times 10^{12} \text{ µg} to grams
52 \text{ ms} to nanoseconds
49 \text{ ms} to nanoseconds
7.3 \times 10^{8} \text{ MW} to terawatts
5 \times 10^{5} \text{ dL} to hectolitres
3 \times 10^{7} \text{ dL} to hectolitres
3 \times 10^{ - 17 } \text{ Mg} to nanograms
4 \times 10^{ - 13 } \text{ Mg} to nanograms
John is tiling a room floor that has a total area of 9 \text{ m}^{2}. The tiles he is using are squares, measuring 25 \text{ cm} by 25 \text{ cm}.
Calculate the area of a single tile in square metres.
How many tiles will John require to cover the entire floor area?
A garden bed measures 430 \text{ cm} by 250 \text{ cm}. A bag of fertiliser covers an area of 2 \text{ m}^{2}.
How many whole bags of fertiliser are needed to cover the total area of the garden bed?
How much area will the left-over fertiliser be able to cover? Give your answer in square metres.
A sand pit set in the corner of a property has dimensions as shown:
Calculate the area of the sandpit in square metres.
A 20 \text{ kg} bag of play sand costs \$7.80, and covers an area of 0.5 \text{ m}^{2} to an appropriate depth.
How much will it cost to buy enough bags of sand to fill this sand pit?
Find the number of nanoseconds in one day. Write your answer in scientific notation.
Hobart's water supply's main source is the Derwent River, which holds 3600 \text{ ML} of water. Write your answer in scientific notation. How many hectolitres of water does this river hold?
The average bacteria in the human body is approximately 5 \text{ µm} long. A healthy human adult typically hosts around 7 \times 10^{13} bacteria. If this many bacteria were placed end-to-end in a line, how long would the line be in kilometres?
Rectangular farms around Australia were measured and their dimensions are recorded in the table:
Complete the given table by calculating the area of each farm in \text{m}^2.
Which farm has an area of exactly 1 \, \text{ha}?
Which farms have an area of more than 1 \, \text{ha}?
Which farms have an area of less than 1 \, \text{ha}?
| \text{Farm} | \text{Length} \\\ \text{(m)} | \text{Width} \\ \text{(m)} | \text{Area} \\ \text{(m)}^2 |
|---|---|---|---|
| 1 | 300 | 100 | |
| 2 | 350 | 15 | |
| 3 | 100 | 20 | |
| 4 | 350 | 40 | |
| 5 | 100 | 100 |