Similar Ratios

Are the following similar and if so what is their ratio?

3 2

3

64

6

3/6

1/2

2/4

1/2

3/6

1/2

Yes, 1:2

Theorem 11-12: Areas and Volumes of

Similar Solids

If the similarity ratio of two similar solids is a:b, then

(1) The ratio of their corresponding areas is a2:b2

Find the similarity ratio of two similar

solids if their surface areas ratios are

18 cm2 : 32 cm2

€

18cm2

32cm2

€

18cm2

32cm2

€

34

3:4

Theorem 11-12: Areas and Volumes of

Similar Solids

If the similarity ratio of two similar solids is a:b, then

(2) The ratio of their corresponding volumes is a3:b3

Find the similarity ratio of two similar

solids if their volumes are

250 ft3 and 432 ft3

€

250ft3

432ft3

(250/432)^(1/3)math frac

5/6

5:6

The volumes of two similar figures are 27 in3 and 125 in3. The surface area of the smaller

figure is 63 in2. Find the surface area of the larger

figure.

€

27in3

125in3(27/125)^(1/3)math frac = 3/5

5263=32x

€

32

52 =63in2

x 1575=9x

175=x

175in2