Calculating Water Quantity in Fractional Tank Volumes
When dealing with fractional volumes of tanks, it's important to understand how to calculate the total capacity and individual fractions. In this article, we'll explore a practical example where 1/3 of a tank holds 80 litres of water. We'll use this information to determine the quantity of water that 1/2 of the tank holds. By the end of this article, you'll be able to solve similar problems and understand the principles behind fractional tank calculations.
Introduction
Liquid storage systems such as tanks are widely used in various industries, from agriculture to industrial storage. Accurate calculation of the water quantity in different fractions of a tank is crucial for effective inventory management and operational efficiency. In this article, we'll go through a step-by-step example and provide a simple method for calculating the water quantity in a given fractional tank volume.
Example Problem
Determining the Capacity of One Section of the Tank
Let's start with the given information:
1/3 of the tank holds 80 litres of water.To find out the total capacity of the tank when 1/3 of it holds 80 litres, we need to multiply the given quantity by the reciprocal of 1/3, which is 3. This gives us the total capacity of the tank. Let's calculate this:
1 part of the tank holds: frac34; times; 80 litres
1 part of the tank holds: 240 litres
Finding the Quantity in 1/2 of the Tank
Now that we know 1 part of the tank holds 240 litres, we can determine the quantity of water in 1/2 of the tank. To do this, we simply multiply the total capacity by 1/2:
1/2 part of the tank holds: frac12; times; 240 litres
1/2 part of the tank holds: 120 litres
Conclusion
Using these calculations, we can easily determine that 1/2 of the given tank holds 120 litres of water. This method can be applied to any fractional part of the tank. By understanding the principles behind these calculations, you can manage and monitor liquid storage more effectively.