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Jugs and Mugs - Units of Capacity (Liters and Milliliters)

Grade 4CBSE

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 filled to the brim with water; the total amount of water inside represents the bucket's capacity.

The standard unit for measuring large quantities of liquid is the Liter (LL). For example, a large bottle of juice or a bucket of water is usually measured in Liters. Think of a 11 LL water bottle you take to school.

For measuring small quantities of liquid, we use Milliliters (mlml). Examples include a small spoon of medicine, a cup of tea, or a small perfume bottle. Visualize a small 55 mlml teaspoon compared to a large 11 LL jug.

The relationship between the two units is 11 Liter = 10001000 Milliliters. You can visualize this by imagining 1010 small cups, each holding 100100 mlml, being poured into a 11 Liter container to fill it up exactly.

Measuring containers often have markings called 'graduations' on the side. A 11 LL measuring jug might have horizontal lines showing 200200 mlml, 400400 mlml, 600600 mlml, and 800800 mlml to help you measure liquid accurately.

When comparing capacities, always check the units. 11 LL is much greater than 100100 mlml, even though the number 100100 is larger than 11, because the unit LL is 10001000 times larger than mlml.

Different shaped containers can have the same capacity. A tall, thin glass and a short, wide bowl might both hold exactly 250250 mlml of milk, even though they look different visually.

📐Formulae

1 Liter (L)=1000 Milliliters (ml)1 \text{ Liter (L)} = 1000 \text{ Milliliters (ml)}

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

Capacity in L and ml=Total ml1000\text{Capacity in L and ml} = \frac{\text{Total ml}}{1000}

Total Capacity=Sum of all individual capacities\text{Total Capacity} = \text{Sum of all individual capacities}

💡Examples

Problem 1:

A water tank contains 1515 LL 500500 mlml of water. If 77 LL 250250 mlml of water is used for cleaning, how much water is left in the tank?

Solution:

Total water=15 L 500 ml\text{Total water} = 15 \text{ L } 500 \text{ ml} Water used=7 L 250 ml\text{Water used} = 7 \text{ L } 250 \text{ ml} Water left=(157) L (500250) ml\text{Water left} = (15 - 7) \text{ L } (500 - 250) \text{ ml} Water left=8 L 250 ml\text{Water left} = 8 \text{ L } 250 \text{ ml}

Explanation:

Subtract the Liters from Liters and Milliliters from Milliliters separately to find the remaining amount.

Problem 2:

Convert 44 Liters 7575 Milliliters into total Milliliters.

Solution:

We know 1 L=1000 ml\text{We know } 1 \text{ L} = 1000 \text{ ml} So, 4 L=4×1000 ml=4000 ml\text{So, } 4 \text{ L} = 4 \times 1000 \text{ ml} = 4000 \text{ ml} Total ml=4000 ml+75 ml=4075 ml\text{Total ml} = 4000 \text{ ml} + 75 \text{ ml} = 4075 \text{ ml}

Explanation:

To convert to milliliters, multiply the liter value by 10001000 and then add the remaining milliliter value.