Calculating the Water Capacity of a Rectangular Tank: A Step-by-Step Guide

Measuring the water storage capacity of a tank is a crucial task, especially in settings such as water management, agriculture, or industrial applications. This guide will walk you through a detailed process to determine the water holding capacity of a tank with given dimensions.

Understanding the Dimensions

A tank with the dimensions of 6 feet long, 4.5 feet wide, and 8 feet deep needs to be calculated to find out how many liters of water it can hold. The first step is to understand the formula for calculating the volume of a rectangular prism:

[ V l times w times h ]

Where:

- V is the volume in cubic feet.- l is the length.- w is the width.- h is the height.

Step-by-Step Calculation

Let's break down the calculation into steps:

Calculate the Volume in Cubic Feet: [ V l times w times h ] [ V 6 text{ ft} times 4.5 text{ ft} times 8 text{ ft} ] [ V 216 text{ cubic feet} ] Convert Cubic Feet to Liters: The conversion factor from cubic feet to liters is approximately: 1 cubic foot ≈ 28.3168 liters [ text{Volume in liters} 216 text{ cubic feet} times 28.3168 text{ liters/cubic foot} ] [ text{Volume in liters} ≈ 6101.64 text{ liters} ]

Therefore, the tank can hold approximately 6101.64 liters of water.

Verification with Metric Units: The dimensions in metric units are: - 6 feet 1.8288 meters - 4.5 feet 1.3716 meters - 8 feet 2.4384 meters [ text{Volume} 1.8288 text{ m} times 1.3716 text{ m} times 2.4384 text{ m} ] [ text{Volume} ≈ 6.105 text{ cubic meters} ] Given that 1 cubic meter equals 1000 liters: [ 6.105 text{ cubic meters} times 1000 text{ liters/cubic meter} ] [ text{Volume in liters} ≈ 6105 text{ liters} ]

Alternative method for conversion:

[6 text{ ft} times 4.5 text{ ft} times 8 text{ ft} 216 text{ cubic feet}]1 cubic foot is approximately 28.317 liters:[216 text{ cubic feet} times 28.317 text{ liters/cubic foot} 6116 text{ liters}]

Thus, the tank can hold approximately 6116 liters of water.

Conclusion

The tank with the given dimensions can hold an impressive capacity of water. Understanding the conversion factors and calculation methods is essential for accurate measurements. Whether you are planning a water management project or simply need to know the capacity of a tank, this step-by-step guide ensures you get the right answer.