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Material Taken From:
Mathematics
for the international student
Mathematical Studies SL
Mal Coad, Glen Whiffen, John Owen, Robert Haese,
Sandra Haese and Mark Bruce
Haese and Haese Publications, 2004
Chapter 11 – Section F – Volume
Volume Units
1cm3 = 1cm × 1cm × 1cm
= 10 mm × 10 mm × 10 mm
= 1000 mm3
Units of Volume
kilo-
h
d
-meter
1 m3
d
centi-
milli-
1 cm3
1 000 000 cm3
1000 mm3
Move the decimal 3 times as far.
Convert:
1) 300 000 cm3 to m3
1) 25 000 mm3 to cm3
- Volume formulae found on page 380 -
3) Calculate the volume
Find the volume of the following:
4)
5)
6) Calculate the volumes
7) A box has a square base and its height is 12 cm. If
the volume of the box is 867 cm3, find its length.
8) Find r if a cylinder has base radius r cm,
height 3.9 cm and has a volume of 54.03 cm3.
Chapter 11 – Section G – Capacity
Convert:
1) 0.38 L to mL
2) 36 800 L to kL
Units of
Capacity
Kilo-
H
•The capacity of a container is the quantity
of fluid (liquid or gas) that it may contain.
D
d
1L
1 kL
1000 L
 1 m3
centi-
milli-
1cm3
1 mL
1000 cm3
1000 mL
1 000 000 cm3 1 000 000 mL
Convert:
3) 5.6 L to cm3
4) 3240 L to m3
5) How many kL of water would a 3 m by 2.4 m
by 1.8 m tank hold when full?
Homework
• 11E.2, pg376
– #1cdf, 6
• 11F.1, pg379
– #1ace
• 11F.2, pg381
– #1bdgi, 2bei, 5, 12ace
• 11G, pg385
– #1ace, 3ace, 5a