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Jugs and Mugs - Measuring Liquids

Grade 4CBSE

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

🔑Concepts

Capacity is the maximum amount of liquid a container can hold. For example, a tall narrow bottle and a short wide bowl can have the same capacity if they hold the same total amount of water. Capacity helps us understand how much milk is in a packet or how much water is in a bucket.

Standard units of measurement for liquids are Litres (LL) and Millilitres (mlml). We use mlml for small quantities like a spoonful of medicine or a small juice box, and LL for larger quantities like a bucket of water, a fuel tank, or the capacity of a water overhead tank.

The basic conversion rule is 1L=1000ml1 L = 1000 ml. You can visualize this by imagining a large 11 Litre jug being filled completely by pouring ten smaller 100ml100 ml measuring cups into it.

Fractional parts of a litre are important for daily measurements. A half-litre jug holds 500ml500 ml (12L=500ml\frac{1}{2} L = 500 ml), and a quarter-litre glass holds 250ml250 ml (14L=250ml\frac{1}{4} L = 250 ml). If you see a bottle marked 750ml750 ml, it is equal to three-quarters of a litre (34L\frac{3}{4} L).

Measuring cylinders and jugs often have markings called scales on the side. Imagine a transparent jar with horizontal lines: as you pour liquid, the level rises against these marks, allowing you to read the volume directly in mlml.

When comparing containers, always check the units. A container with 2L2 L is much larger than a container with 500ml500 ml, even though the number 500500 is bigger than 22, because 2L2 L is actually 2000ml2000 ml.

To make exactly 11 Litre using smaller measures, you can combine different amounts. For example, you can combine two 500ml500 ml bottles, or four 250ml250 ml cups, or five 200ml200 ml glasses to reach the 1000ml1000 ml mark on a large jug.

📐Formulae

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

To convert L to ml: Number of Litres×1000\text{To convert L to ml:} \text{ Number of Litres} \times 1000

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

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

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

Total Capacity=Sum of all individual volumes\text{Total Capacity} = \text{Sum of all individual volumes}

💡Examples

Problem 1:

Convert 6L45ml6 L 45 ml into millilitres.

Solution:

Step 1: We know that 1L=1000ml1 L = 1000 ml. \ Step 2: Convert the Litres part: 6L=6×1000=6000ml6 L = 6 \times 1000 = 6000 ml. \ Step 3: Add the remaining millilitres: 6000ml+45ml=6045ml6000 ml + 45 ml = 6045 ml. \ Final Answer: 6045ml6045 ml.

Explanation:

To convert a composite unit (L and ml) into ml, convert the Litre portion first by multiplying by 1000 and then add the existing millilitres.

Problem 2:

A tea kettle contains 1L200ml1 L 200 ml of tea. If 450ml450 ml of tea is poured into cups, how much tea is left in the kettle?

Solution:

Step 1: Convert the total amount to mlml: 1L200ml=1200ml1 L 200 ml = 1200 ml. \ Step 2: Subtract the amount poured out: 1200ml450ml1200 ml - 450 ml. \ Step 3: Calculation: 1200450=750ml1200 - 450 = 750 ml. \ Step 4: Convert back to Litres if needed: 750ml=34L750 ml = \frac{3}{4} L. \ Final Answer: 750ml750 ml.

Explanation:

To solve subtraction problems involving liquids, it is easiest to convert everything to the smaller unit (millilitres) before performing the calculation.