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

30
30

9
9

3
3

27

Answer 1

Correct response: 27

Explanation:
The volume of a cube is calculated by V = s^3, where s represents the side length of the cube.
For the freshwater tank: V = 15^3 = 3375 cm^3
For the saltwater tank: V = 45^3 = 91125 cm^3
To find out how many times larger the volume of the saltwater tank is compared to the freshwater tank, we divide the volume of saltwater tank by the volume of the freshwater tank: 91125 cm^3 / 3375 cm^3 = 27.
Therefore, the volume of the saltwater tank is 27 times larger than the volume of the freshwater tank.