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Jugs and Mugs - Conversion of Capacity Units

Grade 4CBSE

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

🔑Concepts

Capacity is the measure of how much liquid a container can hold. Imagine a large bucket and a small spoon; the bucket has a much larger capacity because it can hold more water than the spoon.

The standard units used to measure capacity are Litre (LL) and Millilitre (mlml). We use Litres for larger quantities like a bucket of water or a petrol tank, and Millilitres for smaller quantities like a dose of medicine or a small juice box.

The relationship between the two units is 11 Litre =1000= 1000 Millilitres. You can visualize this by imagining filling a 11-litre bottle using exactly ten small cups of 100ml100 ml each.

To convert Litres into Millilitres, we multiply the number of Litres by 10001000. For example, if you have 5L5 L of water, it is the same as 5×1000=5000ml5 \times 1000 = 5000 ml.

To convert Millilitres into Litres, we divide the number of Millilitres by 10001000. For instance, 4000ml4000 ml is equal to 4000÷1000=4L4000 \div 1000 = 4 L.

When a measurement is given in both Litres and Millilitres, such as 3L250ml3 L 250 ml, we first convert the Litres to Millilitres and then add the extra Millilitres. In this case: (3×1000)+250=3250ml(3 \times 1000) + 250 = 3250 ml.

Measuring tools like measuring cylinders or jugs often have markings (graduations) on the side. A 1L1 L jug might have marks every 100ml100 ml or 200ml200 ml to help us read the volume of liquid inside accurately.

Estimation is an important skill. For example, a standard tea cup holds about 200ml200 ml, a water bottle holds about 1L1 L, and an eye dropper holds about 1ml1 ml to 2ml2 ml.

📐Formulae

1L=1000ml1 L = 1000 ml

Capacity in ml=Capacity in L×1000\text{Capacity in } ml = \text{Capacity in } L \times 1000

Capacity in L=Capacity in ml÷1000\text{Capacity in } L = \text{Capacity in } ml \div 1000

xLyml=(x×1000+y)mlx L y ml = (x \times 1000 + y) ml

💡Examples

Problem 1:

Convert 8L45ml8 L 45 ml into Millilitres.

Solution:

Step 1: We know that 1L=1000ml1 L = 1000 ml. \ Step 2: Convert 8L8 L into mlml by multiplying by 10001000: 8×1000=8000ml8 \times 1000 = 8000 ml. \ Step 3: Add the remaining 45ml45 ml to the result: 8000ml+45ml=8045ml8000 ml + 45 ml = 8045 ml. \ Final Answer: 8045ml8045 ml.

Explanation:

To convert a combined unit of Litres and Millilitres into Millilitres, convert the Litre part first and then add the remaining Millilitre value.

Problem 2:

Rohan drank 250ml250 ml of milk in the morning and 350ml350 ml of milk in the evening. How much more milk (in mlml) does he need to drink to complete 1L1 L for the day?

Solution:

Step 1: Calculate total milk drunk: 250ml+350ml=600ml250 ml + 350 ml = 600 ml. \ Step 2: Identify the goal in mlml: 1L=1000ml1 L = 1000 ml. \ Step 3: Subtract the milk already drunk from the goal: 1000ml600ml=400ml1000 ml - 600 ml = 400 ml. \ Final Answer: Rohan needs to drink 400ml400 ml more.

Explanation:

This problem requires finding the total consumption first and then subtracting that from the target capacity of 1L1 L after converting it to 1000ml1000 ml for consistent units.