Geometry: Ratio of similar figures comparing Area, SA, Volume, perimeter

Geometry: Ratio of similar figures comparing Area, SA, Volume, perimeter
Geometry: Ratio of similar figures comparing Area, SA, Volume, perimeter
Geometry: Ratio of similar figures comparing Area, SA, Volume, perimeter
Geometry: Ratio of similar figures comparing Area, SA, Volume, perimeter
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100 KB|2 pages
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I think one of the hardest things for Geometry students to answer are questions that ask about "how many times larger is the volume if you enlarge the radius by 2?" or other similar questions. A student could calculate both volumes and then compare them or if they had prior practice with similar figures and ratios they might be able to answer this with out much calculation.

This worksheet starts with 2-D figures (square, triangle, circle) They are asked to solve for perimeter and area of each figure and then compare the similar figures to make a ratio. This will help them see that when a side length is doubled or tripled a certain outcome will occur.

The second page has 3-D figures (Prism and cylinders). They are asked to solve for SA and Volume and then they will make ratios comparing the 2 similar figures. They will have to make a conclusion at the end about what happens to volume/SA when a side length is tripled.
Total Pages
2 pages
Answer Key
Not Included
Teaching Duration
55 minutes
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