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: 2000ml650ml=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.