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Measurement - Measurement of Capacity

Grade 4ICSE

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

🔑Concepts

Capacity refers to the quantity of liquid a container can hold. Imagine a bucket filled to the top with water; the total amount of water it contains is its capacity. It is measured using standard units to ensure accuracy across different containers.

The standard unit of capacity is the Litre (LL). For smaller quantities, we use the Millilitre (mlml). To visualize this, think of a large carton of milk as 1L1 L and a small eye-dropper containing about 1ml1 ml.

There is a fixed relationship between these units: 1L=1000ml1 L = 1000 ml. You can think of a 11 Litre bottle as being made up of 10001000 tiny 1ml1 ml units stacked together.

To convert Litres into Millilitres, we multiply the amount by 10001000. For example, if you have 6L6 L of juice, you have 6×1000=6000ml6 \times 1000 = 6000 ml. A quick trick is to add three zeros to the right of the number of Litres.

To convert Millilitres into Litres, we divide the amount by 10001000. In a four-digit number of mlml, the digit at the thousands place represents Litres, and the last three digits represent Millilitres. For instance, 4575ml4575 ml can be seen as 4L4 L and 575ml575 ml.

When adding or subtracting capacities, we group the Litres and Millilitres into separate columns. It is important to remember that the mlml column should always be treated as a three-digit group. If you add mlml and the sum is 10001000 or more, you must carry over 1L1 L to the Litre column.

Measuring tools such as measuring cylinders, jugs, and beakers have markings called graduations on their sides. To read the capacity correctly, you must look at the marking that aligns with the level of the liquid. For liquids like water, the surface slightly curves; always read the level at the bottom of this curve (meniscus) while keeping your eyes level with the liquid.

📐Formulae

1L=1000ml1 L = 1000 ml

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

Value in L and ml=Value in ml÷1000\text{Value in } L \text{ and } ml = \text{Value in } ml \div 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

💡Examples

Problem 1:

Convert 9L45ml9 L 45 ml into Millilitres.

Solution:

Step 1: Convert the Litre part to mlml. We know that 1L=1000ml1 L = 1000 ml, so 9L=9×1000ml=9000ml9 L = 9 \times 1000 ml = 9000 ml. \ Step 2: Add the remaining mlml to the result. Total ml=9000ml+45ml=9045mlml = 9000 ml + 45 ml = 9045 ml.

Explanation:

To convert a combined unit to mlml, we first turn the Litres into Millilitres by multiplying by 10001000 and then add the extra Millilitres.

Problem 2:

Add 15L650ml15 L 650 ml and 7L550ml7 L 550 ml.

Solution:

Step 1: Set up columns for LL and mlml. \ LL | mlml \ 1515 | 650650 \ +7+ 7 | 550550 \ ---------- \ Step 2: Add the mlml column: 650+550=1200ml650 + 550 = 1200 ml. \ Step 3: Since 1200ml=1L200ml1200 ml = 1 L 200 ml, write 200200 in the mlml column and carry over 1L1 L to the LL column. \ Step 4: Add the LL column: 15+7+1 (carried)=23L15 + 7 + 1 \text{ (carried)} = 23 L. \ Final Answer: 23L200ml23 L 200 ml.

Explanation:

When the sum of Millilitres exceeds 999999, we convert 1000ml1000 ml into 1L1 L and carry it over to the Litre column.