To find out how many times larger the volume of the saltwater tank is than the volume of the freshwater tank, we first need to calculate the volume of each tank.
The formula for the volume \( V \) of a cube is given by:
\[ V = \text{side length}^3 \]
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Volume of the freshwater tank:
- Side length = 15 cm
- Volume = \( 15^3 = 15 \times 15 \times 15 = 3375 , \text{cm}^3 \)
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Volume of the saltwater tank:
- Side length = 45 cm
- Volume = \( 45^3 = 45 \times 45 \times 45 = 91125 , \text{cm}^3 \)
Now, we will determine how many times larger the volume of the saltwater tank is compared to the freshwater tank:
\[ \text{Times larger} = \frac{\text{Volume of saltwater tank}}{\text{Volume of freshwater tank}} = \frac{91125}{3375} \]
Calculating:
\[ \frac{91125}{3375} = 27 \]
Thus, the volume of the saltwater tank is 27 times larger than the volume of the freshwater tank.
The response is:
27