VOLUMES OF SIMILAR OBJECTS

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Presentation transcript:

VOLUMES OF SIMILAR OBJECTS

The diagram shows that: enlarge with a length scale factor of 2 2 cm 1 cm The diagram shows that: If the length scale factor is 2, then the volume scale factor is 8. 3 cm enlarge with a length scale factor of 3 1 cm The diagram shows that: If the length scale factor is 3, then the volume scale factor is 27. General rule: If the length scale factor is k, then the volume scale factor is k3.

The two pyramids are similar. Examples 1 The two pyramids are similar. The volume of the small pyramid is 24 cm2. Find the volume of the larger pyramid. 4 cm 8 cm Length scale factor = Volume scale factor = Volume of larger pyramid =

The two prisms are similar. The volume of the small prism is 27 cm3. Examples 2 The two prisms are similar. The volume of the small prism is 27 cm3. The volume of the large prism is 64 cm3. Find the value of x. x cm 20 cm Volume scale factor = Length scale factor =