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What is Adding Capacities?

Grade Level:

Class 2

All STEM domains, Finance, Economics, Data Science, AI, Physics, Chemistry

Definition
What is it?

Adding capacities means combining the amounts that different containers or objects can hold. It's about finding the total 'holding power' when you put things together. Think of it as finding the total volume or space available.

Simple Example
Quick Example

Imagine you have two water bottles. One bottle can hold 1 litre of water, and the other can hold 2 litres. If you want to know the total amount of water both bottles can hold together, you are adding their capacities. Here, the total capacity is 1 litre + 2 litres = 3 litres.

Worked Example
Step-by-Step

Let's say a milk vendor has three different milk cans. --- Can 1 holds 5 litres of milk. --- Can 2 holds 10 litres of milk. --- Can 3 holds 15 litres of milk. --- To find the total capacity of all three cans, we add their individual capacities: 5 litres + 10 litres + 15 litres. --- First, add 5 + 10 = 15 litres. --- Then, add 15 litres + 15 litres = 30 litres. --- So, the total capacity of all three milk cans is 30 litres.

Why It Matters

Understanding capacity is super important in many fields! Engineers use it to design bridges and buildings, ensuring they can hold enough weight. In finance, it helps calculate storage costs, and in logistics, it's crucial for planning how many items fit in a truck. This skill is vital for careers in engineering, architecture, and supply chain management.

Common Mistakes

MISTAKE: Confusing capacity with weight or length. | CORRECTION: Remember capacity is about 'how much a container can hold' (like litres or millilitres), not how heavy it is (kilograms) or how long it is (metres).

MISTAKE: Forgetting to use the same units when adding. | CORRECTION: Always make sure all capacities are in the same unit (e.g., all in litres or all in millilitres) before adding. Convert if necessary.

MISTAKE: Only adding two capacities when there are more. | CORRECTION: Read the problem carefully and add ALL the given capacities to find the correct total.

Practice Questions
Try It Yourself

QUESTION: A small tiffin box can hold 200 ml of curry, and a large tiffin box can hold 500 ml. What is their total capacity? | ANSWER: 200 ml + 500 ml = 700 ml

QUESTION: A water tank at home has a capacity of 500 litres. Another smaller tank has a capacity of 250 litres. What is the combined capacity of both tanks? | ANSWER: 500 litres + 250 litres = 750 litres

QUESTION: A chef uses three different measuring cups for a recipe. One cup holds 100 ml, another holds 250 ml, and a third holds 50 ml. If he uses all three cups to measure water, what is the total capacity of water he can measure in one go? | ANSWER: 100 ml + 250 ml + 50 ml = 400 ml

MCQ
Quick Quiz

What does 'adding capacities' mean?

Finding the total weight of objects

Finding the total length of objects

Finding the total amount containers can hold

Finding the total number of objects

The Correct Answer Is:

C

Adding capacities specifically refers to combining the 'holding power' or volume of different containers. Options A, B, and D relate to weight, length, or count, not capacity.

Real World Connection
In the Real World

When you buy petrol for your scooter or car at a petrol pump, the attendant measures the fuel in litres. If you fill 5 litres today and your friend fills 10 litres, you can add these capacities to know how much total fuel was dispensed. Similarly, delivery services like Zepto or Swiggy use this concept to figure out how many food containers or grocery items can fit into a delivery bag or scooter carrier.

Key Vocabulary
Key Terms

CAPACITY: The maximum amount that something can contain. | LITRE: A unit for measuring the volume of liquids. | MILLILITRE: A smaller unit of volume, where 1000 ml equals 1 litre. | TOTAL: The whole amount or number.

What's Next
What to Learn Next

Now that you understand adding capacities, you can explore 'Subtracting Capacities' to see how much liquid is left after some is used. You can also learn about 'Converting Units of Capacity' (like litres to millilitres) which is super useful for everyday problems!

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