The Sphere The Cone Any Prisms Volume of Solids Int 2 Composite Prisms.

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Volume of Solids The Sphere The Cone Any Prisms Composite Prisms

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Presentation transcript:

The Sphere The Cone Any Prisms Volume of Solids Int 2 Composite Prisms

Starter 5 cm 2.5 cm 3 cm 4 cm 3 cm Int 2

Learning Intention Success Criteria 1.To know the volume formula for a sphere. 1.To understand the sphere formula and use it appropriately. 2.Work out volumes for spheres. 3.Answer to contain appropriate units and working. appropriate units and working. Int 2 Volume of Solids

Volume of a Sphere Int 2 r D D = diameter Q.If the above sphere has radius 10cm. Calculate it’s volume.

Now try MIA Ex 1 Ch3 (page 20) Int 2 Volume of Solids

Starter Int 2 D = 6 cm r D

Learning Intention Success Criteria 1.To know the volume formula for a cone. 1.To understand the cone formula and use it appropriately. 2.Work out volumes for various cones. 3.Answer to contain appropriate units and working. appropriate units and working. Int 2 Volume of Solids

Q.If the above cone has radius 15cm and height of 10 cm.Calculate it’s volume. Volume of a Cone Int 2 r h

Now try MIA Ex 2 Ch3 (page 22) Int 2 Volume of Solids

Starter 6 cm 5 cm Int 2 r = 3cm 8 cm

Learning Intention Success Criteria 1.To know the volume formula for any prism. 1.To understand the prism formula for calculating volume. 2.Work out volumes for various prisms. 3.Answer to contain appropriate units and working. appropriate units and working. Int 2 Volume of Solids Prisms

Int 2 Definition : A prism is a solid shape with uniform cross-section Cylinder (circular Prism) Pentagonal Prism Triangular Prism Hexagonal Prism Volume = Area of Cross section x length V = A x l Volume of Solids

Int 2 Definition : A prism is a solid shape with uniform cross-section Triangular Prism Volume = Area x length Q. Find the volume the triangular prism. 20cm 2 10cm V = 20 x 10 = 200 cm 3 Volume of Solids

Int 2 Definition : A prism is a solid shape with uniform cross-section Volume = Area x length Q. Find the volume the hexagonal prism. 43.2cm 2 20cm = 43.2 x 20 = 864 cm 3 Hexagonal Prism Volume of Solids

Now try MIA Ex 3,4 Ch3 (page 24/25) Int 2 Volume of Solids

Starter Int 2 D = 6 cm h = 10 cm r h

Learning Intention Success Criteria 1.To know what a composite volume is. 1.To calculate volumes for composite shapes using knowledge from previous sections. 2.Work out composite volumes using previous knowledge of basic prisms. 3.Answer to contain appropriate units and working. appropriate units and working. Int 2 Volume of Solids Prisms

Volume of a Solid Int 2 Composite volume is simply volumes that are made up from basic volumes. r D r h Volume = Area x length

Volume of a Solid Int 2 Q. Find the volume the composite shape. Composite volumes are simply volumes that are made up from basic volumes. Volume = Cylinder + half a sphere h = 6m r 2m

Volume of a Solid Int 2 Q. This child’s toy is made from 2 identical cones. Calculate the total volume. Volume = 2 x cone r = 10cm h = 60cm