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 () and Millilitre (). 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 Litre Millilitres. You can visualize this by imagining filling a -litre bottle using exactly ten small cups of each.
To convert Litres into Millilitres, we multiply the number of Litres by . For example, if you have of water, it is the same as .
To convert Millilitres into Litres, we divide the number of Millilitres by . For instance, is equal to .
When a measurement is given in both Litres and Millilitres, such as , we first convert the Litres to Millilitres and then add the extra Millilitres. In this case: .
Measuring tools like measuring cylinders or jugs often have markings (graduations) on the side. A jug might have marks every or to help us read the volume of liquid inside accurately.
Estimation is an important skill. For example, a standard tea cup holds about , a water bottle holds about , and an eye dropper holds about to .
📐Formulae
💡Examples
Problem 1:
Convert into Millilitres.
Solution:
Step 1: We know that . \ Step 2: Convert into by multiplying by : . \ Step 3: Add the remaining to the result: . \ Final Answer: .
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 of milk in the morning and of milk in the evening. How much more milk (in ) does he need to drink to complete for the day?
Solution:
Step 1: Calculate total milk drunk: . \ Step 2: Identify the goal in : . \ Step 3: Subtract the milk already drunk from the goal: . \ Final Answer: Rohan needs to drink more.
Explanation:
This problem requires finding the total consumption first and then subtracting that from the target capacity of after converting it to for consistent units.