Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Capacity is the measure of how much liquid a container can hold. For example, if you fill a bucket with water, the amount of water it holds when full is its capacity. Visualize a large bucket holding more water than a small mug to understand that different containers have different capacities.
The standard units used to measure capacity are Litres (written as ) and Millilitres (written as ). Imagine a standard litre milk packet as a base unit and compare it to a tiny medicine spoon used for small doses.
The relationship between the units is . You can visualize this by imagining ten small cups being poured into a single jug; it takes all ten to fill the jug to the top.
Measuring capacity is often done using containers like graduated cylinders or measuring jars that have horizontal marks on their sides. These marks look like a ruler drawn on a cup, showing specific levels such as , , and .
To compare the capacity of two different-looking containers, like a tall thin vase and a short wide bowl, you can pour liquid from one into a measuring jar. This helps you see that shape does not always determine capacity.
Estimation is an important skill for everyday life. A standard tea cup holds about , a small bottle of water is usually , and a large bucket used for bathing holds about to .
When we combine liquids from different containers, we add their capacities. For instance, if you pour of orange juice and of apple juice into a large pitcher, the pitcher will contain a total of of mixed juice.
📐Formulae
💡Examples
Problem 1:
A water bottle has a capacity of . If Arjun drinks of water from it, how much water is still left in the bottle?
Solution:
Step 1: Convert the total capacity of the bottle into millilitres. Since , then . \ Step 2: Subtract the amount Arjun drank from the total capacity: . \ Step 3: To express the answer in litres and millilitres, we know , which is .
Explanation:
We first convert the bottle's capacity to millilitres so that both numbers have the same unit, then we perform subtraction to find the remaining amount.
Problem 2:
Sita wants to fill a litre bucket using a mug that holds . How many mugs of water will she need to pour to fill the bucket completely?
Solution:
Step 1: Convert the bucket's capacity to millilitres: . \ Step 2: Divide the total capacity of the bucket by the capacity of one mug: . \ Step 3: Calculate the number of mugs: . This means mugs are needed.
Explanation:
By converting the bucket's capacity into the same unit as the mug (), we can determine how many times the smaller volume fits into the larger one.