Answer:
The ratio is 8:1
Step-by-step explanation:
The ratio of corresponding sides of similar figure is a : b. We know that Hat A and Hat B are similar figures, and we also know their corresponding sides. Therefore the ratio of the corresponding sides is 18 : 9.
In order to find the ratio of volumes however, you would need to insert the values of the corresponding sides, 18 and 9, and cube them. In other words, the ratio of volumes is a^3 : b ^3, so the ratio of volumes is 18^3 : 9^3. Once you solve for the exponent, the ratio is 5832 : 729, which can be simplified to the ratio 8 : 1.
Also I took the test and got the answer right :)
