the sphere the cone any prisms volume of solids composite prisms
TRANSCRIPT
The Sphere
The Cone
Any Prisms
Volume of SolidsVolume of Solids
Composite Prisms
StarterStarter
1. Calculate the area of the following shapes.
2. Round to 3 sig. figures.
(a) 47856 (b) 0.065797 (c) 2.05700
Q3. Find 30% of £ 360
5 cm
2.5 cm3 cm
4 cm
3 cm
Volume of a Volume of a SphereSphere
33
OLI: To understand the sphere formula and use it
appropriately.
OSC:•Know the formula for the volume of a
sphere•Use the formula
•Use the appropriate units when answering
Volume of a Sphere
r
D D = diameter
If the above sphere has radius 10cm. Calculate it’s volume.
R = radius = ½ diameter
Volume of sphere = r3
34
?
Calculating Calculating InterestInterest
66
OSC:•Know the formula for the volume of a
sphere•Use the formula
•Use the appropriate units when answering
StarterStarter
Q1. Calculate the volume of the following sphere.
Q2. Car depreciates 10% each year. What is
it's value after 3 years if it's initial value was £3,000.
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Int 2
D = 6 cm
r
D
4 3Volume = πr34 3 = π(3)3
3 = 36πcm
Volume of a ConeVolume of a Cone
88
OLI: To understand the cone formula and use it
appropriately.
OSC:•Know the formula for the volume of a
cone•Use the formula
•Use the appropriate units when answering
If the above cone has radius 15cm and height of 10 cm.
Calculate it’s volume.
Volume of a Cone
r
h
r = radius
h = perpendicular height
Volume of cone = r2h
31
?
Calculating Calculating InterestInterest
1111
OSC:•Know the formula for the volume of a
sphere•Use the formula
•Use the appropriate units when answering
StarterStarter
1. Calculate the area of the following shapes.
2. Round to 3 sig. figures.
(a) 47856 (b) 0.065797 (c) 2.05700
Q3. Find 30% of £ 360
6 cm
6 cm
5 cm
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r = 3cm
8 cm
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To know the volume To know the volume formula for any prism.formula for any prism.
1. To understand theprism formula for calculating volume.
2.2. Work out volumes for Work out volumes for various prisms.various prisms.
3.3. Answer to containAnswer to contain appropriate units and appropriate units and
working.working.
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Volume of SolidsVolume of SolidsPrisms
Volume of a PrismVolume of a Prism
1414
OLI: To understand the prism formula and use it
appropriately.
OSC:•Know the formula for the volume of a
prism•Use the formula
•Use the appropriate units when answering
A prism is a solid shape with uniform cross-section
Cylinder(circular Prism) Pentagonal PrismTriangular Prism
Hexagonal Prism
Volume = Area of Cross section x length
Triangular PrismVolume = Area x length
20cm210cm
Volume = Area x length
43.2cm2
20cmHexagonal Prism
?
Calculating Calculating InterestInterest
1919
OSC:•Know the formula for the volume of a
prism•Use the formula
•Use the appropriate units when answering
Q1. Calculate the volume of the following cone.
Q2. My wages increased by 10% this year. My new wage
is £1200. What was my wage before the increase.
StarterStarterw
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Int 2
D = 6 cm
h = 10 cm
r
h
2
2
3
1Volume Cone = πr h
31
= π(3) ×10 3
= 30 cm
Volume of a Volume of a SphereSphere
2121
OLI: To calculate the volumes of composite shapes
OSC:•To know what a composite volume is
•Work out composite volume using previous knowledge of volumes of
prisms.•Use the appropriate units when
answering
Volume of a SolidVolume of a Solid
21Volume Cone = πr h
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Composite volume is simply volumes that are made up from basic volumes.
r
D
r
h
Volume = Area x length
34Volume = πr
3
Find the volume the composite shape.
Composite volume is simply volumes that are made up from basic
volumes.
h = 6m r2m
This child’s toy is made from 2 identical cones.Calculate the total volume.
r = 10cm
h = 60cm
?
Calculating Calculating InterestInterest
2626
OSC:•Know the formula for the volume of a
prism•Use the formula
•Use the appropriate units when answering