Maths - Units Of Area And Volume Flashcards
What is the Sl base unit of length?
Metre
What symbol is used for the unit metre?
m
What is the Sl base unit for time?
Second
What is the Sl base unit for mass?
Kilogram
What is the Sl base unit for temperature?
Kelvin
What is the Sl base unit for the amount of substance?
Mole
What is the Sl base unit for electric current?
Ampere
What is the Sl base unit for luminous intensity?
Candela
What symbol is used for the unit second?
s
What symbol is used for the unit kilogram?
kg
What symbol is used for the unit kelvin?
k
What symbol is used for the unit mole?
mol
What symbol is used for the unit ampere?
a
What symbol is used for the unit candela?
cd
What is it important to do do when writing a unit after a value?
Always leave a space between values and units
E.g. 3 cm not 3cm
Is case important when writing units after values?
Yes it should be written in lower case
E.g. kg
not KG or Kg
When should you only use the equals = sign?
When two things are equivalent to each other
And that includes having equal units
How many mm are there in a metre?
1000 mm
How many cm are there in a 10 mm?
1 cm
How many cm are there in a metre?
100 cm
How many cm are in 1ml?
1 cm 3 (to the power of 3)
Equal 1 ml
1 ml
How many cm are there in a litre?
1000 cm 3 (to the power of 3)
How many metres are in a kilometre?
1000 metres
What does the prefix ‘kilo’ mean?
Denoting a thousand
What does the prefix ‘milli’ mean?
Denoting a thousandth
E..g.
A millimetre is a thousandth of a metre
What is a millimetre?
It’s a thousandth of a metre
10 to the power of 3 is equal to ?
1000
What prefixes are based on multiples of a 1000?
‘Kilo’
‘Milli’
What does the prefix ‘centi’ indicate?
It indicated one hundredth
E.g. One centimetre is one hundredth of a metre
And
100 cm make up a metre
How many kilometres are there in 1 metre?
0.001 km
How many metres are there in 1 cm?
0.01 m
How many metres are there in 1 mm?
0.001 m
Which of the following are units of area?
```
Inch)2 (squared
s2 (squared)
cm2 (squared)
km3 (cubed)
Square miles
~~~
All except s2 (squared) and km3 (cubed)
km3 (cubed) is a unit of volume
s2 (squared) is a unit of time
Calculate the area of a rug 50 cm by 2 m
50 cm = 0.5 m (there are 100 cm in 1 m)
0.5 m x 2 m
Or
0.5 x 2 x m x m
Area = 1 m2 (squared)
Calculated the area of a phone screen which measures 65 mm long by 40 mm wide ?
Area = 65 x 40 x mm x mm Area = 2600 mm2(squared)
How do you calculate area?
Length x width
How do you calculate volume?
Length x width x height
Calculate the volume of a room measuring 5 m x 4 m x 3 m
5 x 4 x 3 x m x m x m
=60x m x m x m
= 60 m3 (cubed)
Calculate
The volume of a phone which measures 10 cm by 5 cm by 6 mm in cubic centimetres
6 mm = 0.6 cm
10 x 5 x 0.6 x cm x cm x cm
=30 x cm x cm x cm
= 30 cm3 (cubed)
Calculate the volume of a phone which measures 10 cm by 5 cm by 6 mm in mm3 (cubed)
10cm = 100 mm
50 cm = 50 mm
100 x 50 x 6 x mm x mm x mm
= 30 000 mm3 (cubed)
Convert 50 cm3 (squared) to ml
50 ml
Is not cubed as ml is volume
When converting litres to cm what must you remember?
To cube it
When converting cm to litres what must you remember?
To not cube it, as litres represent volume
Convert 500 cm3 (cubed) to litres
1 cm3 (cubed) = 1 ml So: 500 cm3 (cubed) = 500 ml There is 1000 ml in a litre so: 500ml = 0.5 l
Covert 3 litres to cm3 (cubed)
3000 cm3 (cubed)
1 litre is equal to how many cm?
1000 cm3 (cubed)
1 ml is equal to how many cm?
1 cm3 (cubed)
…. kg = 8000 g
8 kg
8000 g = ….. mg
8000000 mg
Kilogram is the SI unit for?
Mass
