There are 35,000 bats roosting in a pyramid-shaped vaulted cave ceiling that has a height of 30 meters and a rectangular floor that measures 75 by 100 meters. What is the average density of the bat population in the cave? Make sure that the density is a number that reflects the fact that the bat population is measured in counting numbers.

Calculate the volume of the cave.

Calculate the volume density of the bats in the cave.

Determine the domain of the bat population.

Suggest a different basic volume unit that will result in a bat density measured in positive integers.

Use the response to step 4 to calculate a more realistic value for the bat density.

Compare the number of bats predicted by the result of step 5 to the number of bats given in the problem.

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