12.7 Similar Solids

Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter of the base is 9(4) and 3(4) Ratio of the Bases 36 : 12 Same as the Scale Factor 9:3

Definitions of Similar Solids If the Scale Factor is 9:3, Then the S.A. ratio is 9 2 :3 2 or 81:9 Scale factor 9 : 3 Perimeter of the base is 9(4) and 3(4) Ratio of the Bases 36 : 12 Same as the Scale Factor 9:3

Definitions of Similar Solids If the Scale Factor is 9:3, Then the Volume ratio is 9 3 :3 3 or 729:27 Scale factor 9 : 3 Perimeter of the base is 9(4) and 3(4) Ratio of the Bases 36 : 12 Same as the Scale Factor 9:3

How to remember the ratios If the Scale Factor is a : b the Perimeter ratio is a :b, since it in one dimension 2, the Surface Area ratio is a 2 :b 2, since it in two dimensions. The Volume ratio is a 3 :b 3, since it in three dimensions.

Two rectangular prisms are similar The Scale Factor of the Prisms (A:B) are to 1:4 If the Surface Area of Prisms A is 28m 2 and its Volume is 8m 3 Find the Surface Area and Volume of Prisms B

Two rectangular prisms are similar The Scale Factor of the Prisms (A:B) are to 1:4 If the Surface Area of Prisms A is 28m 2 and its Volume is 8m 3 Find the Surface Area and Volume of Prisms B

Two rectangular prisms are similar If the Surface Area of Prisms A is 28m 2 and its Volume is 8m 3

Two rectangular prisms are similar If the Surface Area of Prisms A is 28m 2 and its Volume is 8m 3

Two similar cubes have volumes 64in 3 and 1000in 3 Find the scale factor

Homework Page 769 – 771 # 10 – 24, 28, 29