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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

Int 2

D = diameter

r

D

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Q. If the above sphere has radius 10cm.

Calculate it’s volume.

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

Int 2

h

r

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- If the above cone has radius 15cm and height
- of 10 cm. Calculate it’s volume.

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.

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

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

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

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.

r

h

D

r

Volume of a SolidInt 2

Composite volume

is simply volumes that are made up from basic volumes.

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Volume = Area x length

r

2m

Volume of a SolidInt 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 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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