Material Taken From:

Mathematicsfor the international student

Mathematical Studies SL

Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce

Haese and Haese Publications, 2004

Volume Units

= 10 mm × 10 mm × 10 mm

= 1cm × 1cm × 1cm

= 1000 mm3

1cm3

Chapter 11 – Section F – Volume

Units of Volume

kilo- h d -meter d centi- milli-

1 cm3 1000 mm3

1 m3 1 000 000 cm3

Move the decimal 3 times as far.

Convert:

1) 300 000 cm3 to m3

2) 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.

Convert:

1) 0.38 L to mL 2) 36 800 L to kL

Chapter 11 – Section G – Capacity

Units of Capacity

Kilo- H D d centi- milli-

1cm3 º1 mL

1 L 1000 cm3 º1000 mL

1 kL 1000 Lº 1 m3 1 000 000 cm3 º1 000 000 mL

•The capacity of a container is the quantity of fluid (liquid or gas) that it may contain.

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