Transcript Volume of Prisms

Volume of Solids
The Sphere
The Cone
Any Prisms
Composite Prisms
Starter
1.
Calculate the area of the following shapes.
5 cm
2.5 cm
2.
3 cm
3 cm
4 cm
Round to 3 sig. figures.
(a) 47856
(b) 0.065797
Q3. Find 30% of £360
(c) 2.05700
Volume of a Sphere
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
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Volume of a Sphere
R = radius = ½ diameter
r
D
D = diameter
Volume of sphere = 4 3  r3
If the above sphere has radius 10cm.
Calculate it’s volume.
?
Calculating Interest
OSC:
•Know the formula for the volume of a sphere
•Use the formula
•Use the appropriate units when answering
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Starter
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Int 2
Q1.
Calculate the volume of the following sphere.
4 3
Volume = πr
3
4
= π(3) 3
3
= 36πcm 3
Q2.
r
D = 6 cm
D
Car depreciates 10% each year. What is
it's value after 3 years if it's initial value was £3,000.
Volume of a Cone
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
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Volume of a Cone
h = perpendicular height
h
r
r = radius
Volume of cone = 13 r2h
If the above cone
has radius 15cm and
height of 10 cm.
Calculate it’s
volume.
?
Calculating Interest
OSC:
•Know the formula for the volume of a sphere
•Use the formula
•Use the appropriate units when answering
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Starter
Int 2
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1.
Calculate the area of the following shapes.
r = 3cm
2.
6 cm
5 cm
8 cm
6 cm
Round to 3 sig. figures.
(a) 47856
(b) 0.065797
Q3. Find 30% of £360
(c) 2.05700
Volume of Solids
Prisms
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Int 2
Learning Intention
1. To understand the
prism formula for
calculating volume.
Success Criteria
1. To know the volume
formula for any prism.
2. Work out volumes for
various prisms.
3. Answer to contain
appropriate units and
working.
Volume of a Prism
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
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A prism is a solid shape with uniform cross-section
Hexagonal Prism
Cylinder
Triangular Prism
(circular Prism)
Pentagonal Prism
Volume = Area of Cross section x length
Volume = Area x length
Triangular Prism
10cm
20cm
2
43.2cm
Volume = Area x length
20cm
Hexagonal Prism
2
?
Calculating Interest
OSC:
•Know the formula for the volume of a prism
•Use the formula
•Use the appropriate units when answering
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Starter
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Int 2
Q1.
Calculate the volume of the following cone.
1 2
Volume Cone = πr h
3
D = 6 cm
1
= π(3)2 ×10 h = 10 cm
3
= 30 cm 3
Q2.
h
r
My wages increased by 10% this year. My new wage
is £1200. What was my wage before the increase.
Volume of a Sphere
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
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Volume of a Solid
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Int 2
Composite volume
is simply volumes that are made up from basic volumes.
r
D
Volume =
h
4 3
πr
3
Volume = Area x length
r
Volume Cone =
1 2
πr h
3
Composite volume
is simply volumes that are made up from basic volumes.
Find the volume the composite shape.
h = 6m
r
2m
This child’s toy is made from 2 identical cones.
Calculate the total volume.
r = 10cm
h = 60cm
?
Calculating Interest
OSC:
•Know the formula for the volume of a prism
•Use the formula
•Use the appropriate units when answering
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