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What is Capacity (in geometry context)?
Grade Level:
Class 2
All STEM domains, Finance, Economics, Data Science, AI, Physics, Chemistry
Definition
What is it?
Capacity is how much liquid a container can hold. It tells us the maximum amount of water, milk, or any other liquid that can fit inside a bottle, jug, or bucket. We measure capacity using units like litres and millilitres.
Simple Example
Quick Example
Imagine you have two glasses, one small and one big. The small glass can hold less water, so it has a smaller capacity. The big glass can hold more water, so it has a larger capacity. Just like how a small tiffin box holds less food than a big one.
Worked Example
Step-by-Step
PROBLEM: A water bottle can hold 1 litre of water. If you fill it with 500 millilitres (ml) of water, how much more water can it hold?
STEP 1: Understand the total capacity. The bottle can hold 1 litre.
---STEP 2: Know the conversion: 1 litre = 1000 millilitres.
---STEP 3: Convert the bottle's total capacity to millilitres: 1 litre = 1000 ml.
---STEP 4: See how much water is already in the bottle: 500 ml.
---STEP 5: Subtract the amount already in the bottle from the total capacity to find how much more it can hold: 1000 ml - 500 ml.
---STEP 6: Calculate the difference: 1000 - 500 = 500 ml.
ANSWER: The bottle can hold 500 more millilitres of water.
Why It Matters
Understanding capacity is crucial in many fields. Doctors and nurses use it to measure medicines accurately, ensuring patients get the correct dose. Chefs and bakers use it to follow recipes precisely, making sure their dishes taste perfect every time. Engineers use it when designing fuel tanks for cars or water tanks for homes.
Common Mistakes
MISTAKE: Confusing capacity with weight or length. | CORRECTION: Capacity is only for liquids and tells you 'how much liquid it can hold'. Weight is 'how heavy it is', and length is 'how long it is'.
MISTAKE: Not knowing the conversion between litres and millilitres. | CORRECTION: Always remember that 1 litre (L) is equal to 1000 millilitres (ml). This is a very important conversion.
MISTAKE: Thinking a taller container always has more capacity than a shorter one. | CORRECTION: A container's capacity depends on both its height and its width. A short, wide bucket might hold more water than a tall, thin bottle.
Practice Questions
Try It Yourself
QUESTION: A small juice carton holds 200 ml of juice. How much juice will 5 such cartons hold? | ANSWER: 1000 ml or 1 litre
QUESTION: A water cooler has a capacity of 20 litres. If it is already filled with 12 litres of water, how much more water can be added to it? | ANSWER: 8 litres
QUESTION: Your mom buys 3 bottles of milk, each containing 500 ml. How many full 1-litre jugs can she fill with this milk? | ANSWER: 1 full 1-litre jug
MCQ
Quick Quiz
Which of these is used to measure the capacity of a water tank?
Kilograms
Metres
Litres
Centimetres
The Correct Answer Is:
C
Litres (and millilitres) are the standard units for measuring the capacity of liquids. Kilograms measure weight, and metres/centimetres measure length.
Real World Connection
In the Real World
When you buy milk packets from the local dairy or grocery store, they are usually marked with their capacity, like 500 ml or 1 litre. Even the fuel tank capacity of an auto-rickshaw or a car is measured in litres. This helps us know how much fuel it can hold and how far it can go.
Key Vocabulary
Key Terms
CAPACITY: The maximum amount of liquid a container can hold | LITRE: A common unit for measuring larger capacities, like a water bottle | MILLILITRE: A smaller unit for measuring capacity, used for medicines or small drinks (1 litre = 1000 millilitres) | CONTAINER: An object like a bottle, jug, or bucket that holds something
What's Next
What to Learn Next
Now that you understand capacity, you can explore how to compare capacities of different containers and solve more complex problems involving conversions. Next, you can learn about 'Volume', which is closely related to capacity but applies to 3D solids.


