1. ©G Dear 2009 – Not to be sold/Free to use
General Mathematics
Preliminary
Applications of
Area and Volume
Volume
Stage 6 - Year 11
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©G Dear 2009 – Not to be sold/Free to use

2. Volume/Capacity (1/5)
Volume
Capacity
mm3
cm3 mL L m3 kL ML
Conversions
1 cm3 = 1mL
1 000 cm3 = mL
= 1 L
1 m3 = L

3. Volume using Area of the Base (2/5)
Volume General
V = Ah
V = Ah
V = 10 x 2
2 m h
= 20 m3
x 1000
10 m2 A
= L
Area of the Base

4. Volume of a Cube (3/5) s V = s3 V = s3 Volume V = 93 = 729 cm3
= 729 mL
÷ 1000
Capacity
9 cm s
= L

5. Volume - Cylinder V = Ah = 78.5 x 6 ≈ 471 cm3 A = π r2 = π x 52

6. Volume – Triangular Prism (4/5)
V = AH
= 10
x 6
= 60 cm3
5 cm
height
Height
6 cm
base
4 cm
A = 0.5 x b x h
= 0.5 x 4 x 5
= 10 cm2

7. Volume – Irregular Prism (5/5)
V = AH
1cm
= 19
x 5
= 95 cm3
9cm
5cm
(6-1)
5cm
2cm
6cm
A = (1 x 9) + (2 x 5)
= 19 cm2