Areas and Volumes of Similar Solids: Identifying Similar Shapes
the concept of similar solids through rectangular prisms and square prisms. Learn how to determine if two figures are similar and calculate the scale factor between them. Understand the relationship between corresponding areas and volumes of similar shapes. Practice finding the scale factor between similar prisms based on their surface areas. Gain insight into how proportions of dimensions affect similarity in solids.
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Presentation Transcript
11-7 Areas and Volumes of Similar Solids
Problem 1: Identifying Similar Solids Are the two rectangular prisms similar? If so what is the scale factor of the first figure to the second figure? Similar Solids: have same shape, and all corresponding dimensions are proportional.
Are the two rectangular prisms similar? If so what is the scale factor of the first figure to the second figure?
Areas and Volumes of Similar Solids If the scale factor of two similar solids is ?:?, then The ratio of the corresponding areas is ?2:?2 The ratio of their volumes is ?3:?3
Problem 2: Finding the Scale Factor The square prisms at the right are similar. What is the scale factor of the smaller prism to the larger prism?
What is the scale factor of two similar prisms with surface areas of 144?2??? 324?2
