Similarity and Volume Ratios - Concept

Concept Concept (1)

If two solids are similar, then their corresponding sides are all proportional. The ratio of their surface areas is the side ratio squared and note that the ratios of the areas does not give the actual surface areas. The volume ratio for the two solids is the side length ratio raised to the third power. Again, this is not the solids' volume, only the ratio of the volumes.

Sample Sample Problems (3)

Need help with "Similarity and Volume Ratios" problems? Watch expert teachers solve similar problems to develop your skills.

Similarity and Volume Ratios - Problem 1
Problem 1
How to find the ratio of surface areas and volumes of two spheres.
Similarity and Volume Ratios - Problem 2
Problem 2
How to find the volume of a similar cone given the ratio of their radii.
Similarity and Volume Ratios - Problem 3
Problem 3
How to find the volume of a similar solid given the ratio of surface areas.