Question

part b
what is the mass of a fish of this type that is 50 centimeters long? round to the nearest hundredth.
enter the correct answer in the box.
show hints
the fish is about
kilograms.

Explanation:

To determine the mass of a fish that is 50 centimeters long, we can use a common relationship between the length and mass of a fish. A typical approximation for the mass \( m \) (in kilograms) of a fish with length \( L \) (in centimeters) is given by the formula \( m = \frac{L^3}{10000} \) (this is a simplified model for estimation).

Step 1: Substitute the length into the formula

We know that the length \( L = 50 \) centimeters. Substitute \( L = 50 \) into the formula \( m=\frac{L^{3}}{10000}\).

First, calculate \( L^{3} \):
\( L^{3}=50^{3} = 50\times50\times50=125000\)

Step 2: Calculate the mass

Now, divide \( L^{3} \) by 10000:
\( m=\frac{125000}{10000} = 12.5\)

Answer:

\( 12.5 \)