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 (). For smaller quantities, we use the Millilitre (). To visualize this, think of a large carton of milk as and a small eye-dropper containing about .
There is a fixed relationship between these units: . You can think of a Litre bottle as being made up of tiny units stacked together.
To convert Litres into Millilitres, we multiply the amount by . For example, if you have of juice, you have . 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 . In a four-digit number of , the digit at the thousands place represents Litres, and the last three digits represent Millilitres. For instance, can be seen as and .
When adding or subtracting capacities, we group the Litres and Millilitres into separate columns. It is important to remember that the column should always be treated as a three-digit group. If you add and the sum is or more, you must carry over 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
💡Examples
Problem 1:
Convert into Millilitres.
Solution:
Step 1: Convert the Litre part to . We know that , so . \ Step 2: Add the remaining to the result. Total .
Explanation:
To convert a combined unit to , we first turn the Litres into Millilitres by multiplying by and then add the extra Millilitres.
Problem 2:
Add and .
Solution:
Step 1: Set up columns for and . \ | \ | \ | \ ---------- \ Step 2: Add the column: . \ Step 3: Since , write in the column and carry over to the column. \ Step 4: Add the column: . \ Final Answer: .
Explanation:
When the sum of Millilitres exceeds , we convert into and carry it over to the Litre column.