Volume of Solids The Sphere The Cone Any

Volume of Solids The Sphere The Cone Any Prisms Composite Prisms

Starter 5 cm 2. 5 cm 3 cm 4 cm

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 3

Volume of a Sphere R = radius = ½ diameter r D D = diameter Volume of sphere = r 3 If the above sphere has radius 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 6

Starter www. mathsrevision. com Int 2 r D = 6 cm D

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 8

1. Volume of a Cone 1. h = perpendicular height h r 1. r = radius Volume of cone = If the above cone has radius 15 cm and height of 10 cm. Calculate it’s volume. r 2 h

Calculating Interest OSC: • Know the formula for the volume of a sphere • Use the formula • Use the appropriate units when answering 11

Starter www. mathsrevision. com Int 2 r = 3 cm 6 cm 5 cm 8 cm 6 cm

Volume of Solids Prisms www. mathsrevision. com 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 14

A prism is a solid shape with uniform crosssection Hexagonal Prism Cylinder Triangular Prism (circular Prism) Pentagonal Prism Volume = Area of Cross section x length

Volume = Area x length Triangular Prism 10 cm 2

43. 2 cm Volume = Area x length 20 cm Hexagonal Prism 2

Calculating Interest OSC: • Know the formula for the volume of a prism • Use the formula • Use the appropriate units when answering 19

Starter www. mathsrevision. com Int 2 D = 6 cm h = 10 cm h r

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 21

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

Composite volume is simply volumes that are made up from basic volumes. Find the volume the composite shape. h = 6 m r 2 m

This child’s toy is made from 2 identical cones. Calculate the total volume. r = 10 cm h = 60 cm

Calculating Interest OSC: • Know the formula for the volume of a prism • Use the formula • Use the appropriate units when answering 26