Question

Piranha fish require 1.5 cubic feet of water per fish to maintain a healthy environment. Find the maximum number of piranhas you could put in a tank measuring 8 feet by 3 feet by 6 feet. (IMAGE CANNOT COPY)

Name: Problem 45, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2020-03-12T19:15:37-08:00
Duration: 1 min 12 s
Channel: Aribah Ali
Description: Piranha fish require 1.5 cubic feet of water per fish to maintain a healthy environment. Find the maximum number of piranhas you could put in a tank measuring 8 feet by 3 feet by 6 feet. (IMAGE CANNOT COPY)

   Piranha fish require 1.5 cubic feet of water per fish to maintain a healthy environment. Find the maximum number of piranhas you could put in a tank measuring 8 feet by 3 feet by 6 feet. (IMAGE CANNOT COPY)

Beginning and Intermediate Algebra

Elayn Martin-Gay 4th Edition

Chapter 2, Problem 45

Instant Answer

Solved by Expert Aribah Ali

03/12/2020

Step 1

The volume of a rectangular tank is given by the formula: length x width x height. In this case, the length is 8 feet, the width is 3 feet, and the height is 6 feet. So, the volume of the tank is: \[8 \times 3 \times 6 = 144 \text{ cubic feet}\] Show more…

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Piranha fish require 1.5 cubic feet of water per fish to maintain a healthy environment. Find the maximum number of piranhas you could put in a tank measuring 8 feet by 3 feet by 6 feet. (IMAGE CANNOT COPY)

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Key Concepts

Integer Constraints and Rounding Down

When dealing with counts of discrete items, the result of a division must often be rounded down to the nearest whole number because you cannot have a fraction of an item. This concept is important in ensuring that only whole, feasible units are counted in practical applications.

Volume Calculation

This concept involves finding the space occupied by a three-dimensional object, typically by multiplying its length, width, and height. It is fundamental for determining capacities in many fields, including geometry and real-world applications like computing how much liquid a container can hold.

Unit Rates and Ratios

This involves using a given ratio or unit requirement to determine how many items can fit within a total quantity. It is key when you have a per-unit measurement and you need to calculate a total count by dividing the overall quantity by the unit quantity.

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