3. Two similar dolls are 22 cm and 33 cm tall. a. What is a ratio of similitude of the dolls? b. What is the ratio of their volumes? c. What is the ratio of their surface areas?

We are given that two similar dolls have heights of 22 cm and 33 cm. a. The ratio of similitude is the ratio of any pair of corresponding linear dimensions. Choosing the smaller doll relative to the larger doll, the ratio is 22/33, which simplifies to 2/3. b. When two objects are similar, the ratio of their volumes is the cube of the ratio of similitude. Thus, the volume ratio is (2/3)³ = 8/27. c. Similarly, the ratio of their surface areas is the square of the ratio of similitude. Therefore, the surface area ratio is (2/3)² = 4/9. So, the answers are: a. Ratio of similitude: 2:3 b. Ratio of volumes: 8:27 c. Ratio of surface areas: 4:9