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Volume of a Cylinder
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Slide 16

Capacity

Capacity

Volume - The volume of a three-dimensional figure is the amount of space within it.

Measured in Units Cubed (e.g. cm3)

Volume and capacity are related.

Capacity is the amount of material (usually liquid) that a container can hold.

Capacity is measured in millilitres, litres and kilolitres.

Slide 17

Examples of Capacity

Examples of Capacity

Slide 18

How does Volume relate to Capacity?

How does Volume relate to Capacity?

1000 mL = 1 L

1000 L = 1 kL

1 cm3 = 1 mL

1,000cm3 = 1000ml = 1L

1 m3 = 1000 L = 1 kL

Slide 19

Examples

Examples

Convert 1800 mL to L

1800ml = 1800/1000

= 1.8L

2.3 m3 to L 1m3 = 1000L (1kL)

2.3m3 = 2.3kL

= 2300L

Slide 20

Capacity

Capacity

Find the Capacity of this cube

Length = 5.53cm

V = Ah

= (5.53 x 5.53) x 5.53

= 169.11cm3 (1cm3 = 1ml)

Capacity = 169.11ml

Length = 5.53cm

Slide 21

Example

Example

Find the capacity of this rectangular prism.

Solution

Volume = Ah

= (26 x 12) x5

= 312 × 5

= 1560 cm3 (1cm3 = 1mL)

Capacity = 1560 mL or 1.56 L (1000mL = 1L)

Slide 22

Ex 11.08 – Q 7.

Ex 11.08 – Q 7.

Slide 23

What size rainwater tank would be needed to hold the run-off when 40 mm of rain falls on a roof 12 m long and 3.6 m wide? (Answer in litres.)

What size rainwater tank would be needed to hold the run-off when 40 mm of rain falls on a roof 12 m long and 3.6 m wide? (Answer in litres.)

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