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 () and Millilitres (). We use for small quantities like a spoonful of medicine or a small juice box, and for larger quantities like a bucket of water, a fuel tank, or the capacity of a water overhead tank.
The basic conversion rule is . You can visualize this by imagining a large Litre jug being filled completely by pouring ten smaller measuring cups into it.
Fractional parts of a litre are important for daily measurements. A half-litre jug holds (), and a quarter-litre glass holds (). If you see a bottle marked , it is equal to three-quarters of a litre ().
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 .
When comparing containers, always check the units. A container with is much larger than a container with , even though the number is bigger than , because is actually .
To make exactly Litre using smaller measures, you can combine different amounts. For example, you can combine two bottles, or four cups, or five glasses to reach the mark on a large jug.
📐Formulae
💡Examples
Problem 1:
Convert into millilitres.
Solution:
Step 1: We know that . \ Step 2: Convert the Litres part: . \ Step 3: Add the remaining millilitres: . \ Final Answer: .
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 of tea. If of tea is poured into cups, how much tea is left in the kettle?
Solution:
Step 1: Convert the total amount to : . \ Step 2: Subtract the amount poured out: . \ Step 3: Calculation: . \ Step 4: Convert back to Litres if needed: . \ Final Answer: .
Explanation:
To solve subtraction problems involving liquids, it is easiest to convert everything to the smaller unit (millilitres) before performing the calculation.