Geometry Worksheet
Similarity Ratios - Scale Factor
Volume & Surface Area
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Similarity Ratios - Scale Factor - Volume & Surface Area |
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This worksheet contains problems on the relationship between scale factors of similar
solids and their areas and volumes. Problems require the use of similarity
ratios to find volume and surface area of similar figures. |
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Sample Problems from Worksheet (diagrams not shown) |
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1) Are the two figures similar? If so, give the similarity ratio.
3) The shipping crates shown are similar. a. Find the similarity ratio of the crate
on the left to the crate on the right. b. Find the ratio of their surface areas.
c. Find the ratio of their volumes.
6) If the ratio of the radii of two spheres is 2 : 3, what is the ratio of the surface
areas of the two spheres?
7) A design on the surface of a balloon is 5 cm wide when the balloon holds 56 cubic
cm of air. How much air does the balloon hold when the design is 25 cm wide?
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