Volume of Prisms Quick Check

Question

4 of 54 of 5 Items
Question
Anna Beth has a freshwater fish tank and a saltwater fish tank. They are both cubes. The side length of the freshwater tank is 15 cm. The side length of the saltwater tank is 45 cm. How many times larger is the volume of the saltwater tank than the volume of the freshwater tank? (1 point)
Responses

27
27

9
9

3
3

30

Answer 1

Correct response: 27

Explanation: The ratio of the volumes of two cubes is equal to the ratio of the cubes of their side lengths. In this case, the ratio of the side lengths is 45/15 = 3. Therefore, the ratio of the volumes is 3^3 = 27. This means that the saltwater tank is 27 times larger in volume than the freshwater tank.