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?

A. 3
B. 27
C. 9
D. 30

1 answer

Since the volume of a cube is calculated by V = s^3 (where s is the side length), we can find the volumes of the two tanks:

Volume of freshwater tank = 15^3 = 3375 cm^3
Volume of saltwater tank = 45^3 = 91125 cm^3

To find how many times larger the volume of the saltwater tank is than the volume of the freshwater tank, we divide the volume of the saltwater tank by the volume of the freshwater tank:

91125/3375 = 27

Therefore, the volume of the saltwater tank is 27 times larger than the volume of the freshwater tank.
So, the answer is B. 27.
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