1 / 8

12.7 Similar Solids

12.7 Similar Solids. By: Denana Vehab, Steven Southerland, Anisa Dokic, Edis Ramic. Vocabulary. Similar Solids- Two solids with equal ratios of corresponding linear measures, such as height or radii are called similar solids. Theorem 12.13 (Similar Solids Theorem).

indiya
Télécharger la présentation

12.7 Similar Solids

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 12.7 Similar Solids By: Denana Vehab, Steven Southerland, Anisa Dokic, Edis Ramic

  2. Vocabulary • Similar Solids- Two solids with equal ratios of corresponding linear measures, such as height or radii are called similar solids.

  3. Theorem 12.13 (Similar Solids Theorem) • If two similar solids have a scale factor of a:b then corresponding areas have a ratio of a2:b2, and corresponding volumes have a ration of a3:b3.

  4. Example 1 • Are the two solids similar? If so, what’s the scale factor? 4 8 Not Similar 2 3 1 6 8 4 Similar, Scale Factor = 2 2 1 4 8

  5. Example 2 • Find the surface area of G when the surface area of F = 24 ft2 and the ratio of the two figures is 1:3. 24 = 12 Write out the Proportion. G = 32 24 = 1 Work out the exponents then cross multiply. G = 9 216 ft2 = 1ft 2 Surface Area of G = 216 ft2

  6. Example 3 • Find the volume of Figure G when the volume of Figure F = 7 ft3 and the ration of the two figures is 1:3. 7 = 13 Write out the proportion. G = 33 Work out the exponents then cross multiply. 7 = 1 G = 27 189 ft3 = Volume of G The Volume of G = 189 ft3

  7. Example 4 • Find the Scale factor of the two cubes. V = 512 m3 V = 1728 m3 a3 = 5123 Write out the ratio of the volumes. b3 = 17283 a = 8 Cube root the numbers. b = 12 2 Simplify. Once simplified, the final answer will be the scale factor. 3

  8. Assignment • p. 769, #4-27 all

More Related