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What is The Difference in Capacities?
Grade Level:
Class 3
All STEM domains, Finance, Economics, Data Science, AI, Physics, Chemistry
Definition
What is it?
The 'difference in capacities' means finding out how much more or less one container can hold compared to another. Capacity refers to the maximum amount a container can hold, usually measured in litres or millilitres.
Simple Example
Quick Example
Imagine you have two water bottles. One is a big 1-litre bottle, and the other is a small 500-millilitre bottle. The difference in their capacities tells you how much more water the big bottle can hold than the small one.
Worked Example
Step-by-Step
Let's say your mother has two cooking oil containers. One large container holds 5 litres of oil. A smaller container holds 2 litres of oil. What is the difference in their capacities?
Step 1: Identify the capacities of both containers.
Large container capacity = 5 litres
Small container capacity = 2 litres
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Step 2: To find the difference, subtract the smaller capacity from the larger capacity.
Difference = Larger capacity - Smaller capacity
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Step 3: Perform the subtraction.
Difference = 5 litres - 2 litres
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Step 4: Calculate the result.
Difference = 3 litres
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Answer: The difference in the capacities of the two oil containers is 3 litres.
Why It Matters
Understanding differences in capacities is crucial for managing resources efficiently. From designing water tanks for cities to calculating fuel needed for rockets (ISRO!), this concept helps engineers, scientists, and even homemakers make smart decisions. It's vital in fields like logistics, manufacturing, and even medicine.
Common Mistakes
MISTAKE: Adding the capacities instead of subtracting. | CORRECTION: To find the 'difference', always subtract the smaller value from the larger value.
MISTAKE: Not converting units to be the same before calculating (e.g., subtracting litres from millilitres directly). | CORRECTION: Always convert all capacities to the same unit (e.g., all to millilitres or all to litres) before performing any calculation.
MISTAKE: Confusing capacity with weight or length. | CORRECTION: Capacity is about how much a container can hold (liquid, gas, grain), not how heavy it is or how long it is. It's about volume.
Practice Questions
Try It Yourself
QUESTION: A juice box holds 200 ml. A glass holds 150 ml. What is the difference in their capacities? | ANSWER: 50 ml
QUESTION: A water tank at home has a capacity of 500 litres. A bucket can hold 15 litres. What is the difference in their capacities? | ANSWER: 485 litres
QUESTION: A petrol tank in a car can hold 40 litres. Another car's tank holds 35,000 ml. What is the difference in their capacities in litres? | ANSWER: 5 litres (Convert 35,000 ml to 35 litres first, then 40 - 35 = 5 litres)
MCQ
Quick Quiz
A milk packet has a capacity of 1 litre. A small cup has a capacity of 100 ml. What is the difference in their capacities?
900 ml
1100 ml
90 ml
1.1 litre
The Correct Answer Is:
A
First, convert 1 litre to 1000 ml. Then, subtract the smaller capacity from the larger: 1000 ml - 100 ml = 900 ml. So, option A is correct.
Real World Connection
In the Real World
When you buy milk or juice, you often see different sized packets. Understanding the difference in capacities helps you choose the best value pack at the kirana store. Also, when planning a road trip, knowing the difference in fuel tank capacities of different cars helps decide which car needs more frequent refueling stops.
Key Vocabulary
Key Terms
CAPACITY: The maximum amount a container can hold | LITRE: A standard unit for measuring liquid capacity, equal to 1000 millilitres | MILLILITRE: A smaller unit for measuring liquid capacity, where 1000 ml = 1 litre | DIFFERENCE: The result of subtracting one number from another
What's Next
What to Learn Next
Now that you understand differences in capacities, you can move on to 'Adding and Subtracting Capacities with Multiple Containers'. This will help you solve problems where you need to combine or remove liquids from several containers.
