Chapter Similar Solids

Two Solids with equal ratios of corresponding linear measurements Ratios Not Equal Not Similar Ratios equal Solids are similar

Determine if the following solids are similar if so determine the scale factor Ratios not equal Solids not similar Yes: Scale Factor =

Theorem Similar Solids Theorem If two solids have a scale factor of a:b then: –Corresponding area have a ratio of a 2 :b 2 –The corresponding volumes have a ratio of a 3 :b 3 Example: If two similar solids have a scale factor of 4:5, then –The ratio of their surface areas is 16:25 –The ratio of their volumes is 64:125

The solid is similar to a larger solid with the given scale factor. Find the surface area S of the larger solid Surface Area 1.surface area ratio = 2.Set up the proportion and solve

The solid is similar to a larger solid with the given scale factor. Find the volume V of the larger solid Volume 1.Volume ratio = 2.Set up the proportion and solve

The solid is similar to a larger solid with the given scale factor. Find the surface area S of the larger solid Surface Area 1.surface area ratio = 2.Set up the proportion and solve

The solid is similar to a larger solid with the given scale factor. Find the volume V of the larger solid Volume 1.Volume ratio = 2.Set up the proportion and solve

The solid is similar to a larger solid with the given scale factor. Find the surface area S of the larger solid Surface Area 1.surface area ratio = 2.Set up the proportion and solve

The solid is similar to a larger solid with the given scale factor. Find the volume V of the larger solid Volume 1.Volume ratio = 2.Set up the proportion and solve

The solid is similar to a larger solid with the given scale factor. Find the surface area S of the larger solid Surface Area 1.surface area ratio = 2.Set up the proportion and solve

The solid is similar to a larger solid with the given scale factor. Find the volume V of the larger solid Volume 1.Volume ratio = 2.Set up the proportion and solve

Homework #69 Pg even, 25-29