Geometry Word Problem

Question

A cube with a length of 37 miles, a width of 30 miles, and a depth of 2 miles can be used to model a large lake located in the United States of America. Only 65% of the lake contains fish. If there are 115,200 fish in this lake, what is the average population density of fish per cubic mile, to the nearest fish?

Answer 1

Let's find the volume of the cube.

 

Volume = length × width × depth

 

Volume = 37 miles × 30 miles × 2 miles

            = 2220 cubic miles

 

 

Multiply 115, 200 by 0.65 to get the number of fish in the population.

 

115200 × 0.65 = 74880

 

There are 74880 fish in the population.

 

 

Divide this number by the volume to get the population per cubic mile.

 

74880 fish / 2220 cubic miles = 34 fish / cubic miles

 

The average density of fish per cubic miles is 34.