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Volume of Solids. Int 2. The Sphere. The Cone. Any Prisms . www.mathsrevision.com. Composite Prisms . Int 2. Starter. 5 cm. 3 cm. 2.5 cm. 3 cm. 4 cm. www.mathsrevision.com. Volume of Solids. Int 2. Learning Intention. Success Criteria. To know the volume formula for a sphere.

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Presentation Transcript
slide1
Volume of Solids

Int 2

The Sphere

The Cone

Any Prisms

www.mathsrevision.com

Composite Prisms

starter
Int 2

Starter

5 cm

3 cm

2.5 cm

3 cm

4 cm

www.mathsrevision.com

slide3
Volume of Solids

Int 2

Learning Intention

Success Criteria

  • To know the volume formula for a sphere.
  • To understand the
  • sphere formula and use it
  • appropriately.
  • Work out volumes for spheres.

www.mathsrevision.com

  • Answer to contain
  • appropriate units and working.
volume of a sphere
Volume of a Sphere

Int 2

D = diameter

r

D

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Q. If the above sphere has radius 10cm.

Calculate it’s volume.

slide5
Volume of Solids

Int 2

Now try MIA Ex 1

Ch3 (page 20)

www.mathsrevision.com

starter1
r

D

Int 2

Starter

D = 6 cm

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slide7
Volume of Solids

Int 2

Learning Intention

Success Criteria

  • To know the volume formula for a cone.
  • To understand the
  • cone formula and use it
  • appropriately.
  • Work out volumes for various cones.

www.mathsrevision.com

  • Answer to contain
  • appropriate units and working.
volume of a cone
Volume of a Cone

Int 2

h

r

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  • If the above cone has radius 15cm and height
  • of 10 cm. Calculate it’s volume.
slide9
Volume of Solids

Int 2

Now try MIA Ex 2

Ch3 (page 22)

www.mathsrevision.com

starter2
Int 2

Starter

6 cm

r = 3cm

5 cm

8 cm

6 cm

www.mathsrevision.com

slide11
Volume of Solids

Prisms

Int 2

Learning Intention

Success Criteria

  • To know the volume formula for any prism.
  • To understand the
  • prism formula for calculating volume.
  • Work out volumes for
  • various prisms.

www.mathsrevision.com

  • Answer to contain
  • appropriate units and working.
slide12
Volume of Solids

Int 2

Definition : A prism is a solid shape with

uniform cross-section

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Hexagonal Prism

Cylinder

(circular Prism)

Triangular Prism

Pentagonal Prism

Volume = Area of Cross section x length

slide13
Volume of Solids

Int 2

Definition : A prism is a solid shape with

uniform cross-section

Q. Find the volume the triangular prism.

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Triangular Prism

Volume = Area x length

= 20 x 10 = 200 cm3

10cm

20cm2

slide14
Volume of Solids

Int 2

Definition : A prism is a solid shape with

uniform cross-section

Q. Find the volume the hexagonal prism.

43.2cm2

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Volume = Area x length

20cm

Hexagonal Prism

= 43.2 x 20 = 864 cm3

slide15
Volume of Solids

Int 2

Now try MIA Ex 3,4

Ch3 (page 24)

www.mathsrevision.com

starter3
h

r

Int 2

Starter

D = 6 cm

h = 10 cm

www.mathsrevision.com

slide17
Volume of Solids

Prisms

Int 2

Learning Intention

Success Criteria

  • To know what a composite volume is.
  • To calculate volumes for composite shapes using knowledge from previous sections.
  • Work out composite volumes using previous knowledge of basic prisms.

www.mathsrevision.com

  • Answer to contain
  • appropriate units and working.
volume of a solid
r

h

D

r

Volume of a Solid

Int 2

Composite volume

is simply volumes that are made up from basic volumes.

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Volume = Area x length

volume of a solid1
r

2m

Volume of a Solid

Int 2

Composite volume

is simply volumes that are made up from basic volumes.

Q. Find the volume the composite shape.

Volume = Cylinder + half a sphere

½ sphere

Cylinder

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h = 6m

volume of a solid2
Volume of a Solid

Int 2

Composite Volumes

are simply volumes that are made up from basic volumes.

Q. This child’s toy is made from 2 identical cones.

Calculate the total volume.

Volume = 2 x cone

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r = 10cm

One cone

h = 60cm

Two cone

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