Anna Beth has two fish tanks. They are both cubes. The side length of one of the tanks is 15 cm. The side length of the other is 45 cm. What is the ratio of the volume of the smaller tank compared to the volume of the larger tank?
9
30
3
27
The volume of a cube is calculated by V = s^3, where s is the side length.
For the smaller tank with a side length of 15 cm:
V_small = 15^3 = 3375 cm^3
For the larger tank with a side length of 45 cm:
V_large = 45^3 = 91125 cm^3
The ratio of the volume of the smaller tank to the larger tank is:
V_small/V_large = 3375/91125 = 3/81 = 1/27
Therefore, the ratio of the volume of the smaller tank to the larger tank is 1:27.