krit.club logo

Jugs and Mugs - Concept of Capacity

Grade 3CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

•

Capacity is the measure of how much liquid a container can hold. For example, if you fill a bucket with water, the amount of water it holds when full is its capacity. Visualize a large bucket holding more water than a small mug to understand that different containers have different capacities.

•

The standard units used to measure capacity are Litres (written as ll) and Millilitres (written as mlml). Imagine a standard 11 litre milk packet as a base unit and compare it to a tiny 5ml5 ml medicine spoon used for small doses.

•

The relationship between the units is 1l=1000ml1 l = 1000 ml. You can visualize this by imagining ten small 100ml100 ml cups being poured into a single 1l1 l jug; it takes all ten to fill the jug to the top.

•

Measuring capacity is often done using containers like graduated cylinders or measuring jars that have horizontal marks on their sides. These marks look like a ruler drawn on a cup, showing specific levels such as 100ml100 ml, 200ml200 ml, and 500ml500 ml.

•

To compare the capacity of two different-looking containers, like a tall thin vase and a short wide bowl, you can pour liquid from one into a measuring jar. This helps you see that shape does not always determine capacity.

•

Estimation is an important skill for everyday life. A standard tea cup holds about 150ml150 ml, a small bottle of water is usually 500ml500 ml, and a large bucket used for bathing holds about 15l15 l to 20l20 l.

•

When we combine liquids from different containers, we add their capacities. For instance, if you pour 250ml250 ml of orange juice and 250ml250 ml of apple juice into a large pitcher, the pitcher will contain a total of 500ml500 ml of mixed juice.

📐Formulae

1 Litre (l)=1000 Millilitres (ml)1 \text{ Litre } (l) = 1000 \text{ Millilitres } (ml)

Total Capacity=Capacity A+Capacity B\text{Total Capacity} = \text{Capacity A} + \text{Capacity B}

12l=500ml\frac{1}{2} l = 500 ml

14l=250ml\frac{1}{4} l = 250 ml

34l=750ml\frac{3}{4} l = 750 ml

💡Examples

Problem 1:

A water bottle has a capacity of 2l2 l. If Arjun drinks 650ml650 ml of water from it, how much water is still left in the bottle?

Solution:

Step 1: Convert the total capacity of the bottle into millilitres. Since 1l=1000ml1 l = 1000 ml, then 2l=2×1000=2000ml2 l = 2 \times 1000 = 2000 ml. Step 2: Subtract the amount Arjun drank from the total capacity: 2000ml−650ml=1350ml2000 ml - 650 ml = 1350 ml. Step 3: To express the answer in litres and millilitres, we know 1350ml=1000ml+350ml1350 ml = 1000 ml + 350 ml, which is 1l350ml1 l 350 ml.

Explanation:

We first convert the bottle's capacity to millilitres so that both numbers have the same unit, then we perform subtraction to find the remaining amount.

Problem 2:

Sita wants to fill a 33 litre bucket using a mug that holds 500ml500 ml. How many mugs of water will she need to pour to fill the bucket completely?

Solution:

Step 1: Convert the bucket's capacity to millilitres: 3l=3×1000=3000ml3 l = 3 \times 1000 = 3000 ml. Step 2: Divide the total capacity of the bucket by the capacity of one mug: 3000ml÷500ml3000 ml \div 500 ml. Step 3: Calculate the number of mugs: 500+500+500+500+500+500=3000500 + 500 + 500 + 500 + 500 + 500 = 3000. This means 66 mugs are needed.

Explanation:

By converting the bucket's capacity into the same unit as the mug (mlml), we can determine how many times the smaller volume fits into the larger one.