The height of vase B is 9 cm.
Vases A and B are similar. The height of vase A is 9 cm and the height of vase B is 13 cm. When two figures are similar, their corresponding sides are proportional. This means that the ratio of the height of vase A to the height of vase B is equal to the ratio of any other pair of corresponding sides. Therefore, we can set up the proportion:
9 cm / 13 cm = x cm / 13 cm
Cross-multiplying, we get:
9 cm * 13 cm = 13 cm * x cm
Simplifying, we find:
x = 9 cm * 13 cm / 13 cm = 9 cm
Therefore, the height of vase B is 9 cm.
The question probable may be:
If Vases A and B are similar, and the height of Vase A is 9 cm while the height of Vase B is 13 cm, what is the height of Vase B, according to the principles of similarity and proportional relationships?