1. VOLUMES OF SIMILAR OBJECTS

2. 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.

3. 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 =

4. 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 =