3rd Class Mathematics Measurement Length, Weight and Capacity Measurement Volume

LEARNING OBJECTIVES

This lesson will help you to:—

• Measure and compare the capacity of different containers in terms of non standard units.
• Estimate capacity of a given object in standard units.
• Learn and convert the units of volume.

REAL LIFE EXAMPLES

• Capacity of a juice box tells us about the volume of juice in it
• Ice cream containers’ capacity is measured before packing ice creams in them.
• Cold drink bottles are of capacity 250ml, 300ml, 500ml, 1lt, 2lt, etc.

AMAZING FACTS

• You can also measure volume of solid objects. Volume of solid objects can also be measured for solid shapes like cube, cuboids, cylinder, cone, sphere etc.
• Capacity is the amount a container can hold while volume is the measure of the space taken up by something.

For example, capacity of a bottle is 500 ml or 500 ml of water can come in a bottle.

QUICK CONCEPT REVIEW CAPACITY

It can be defined as the amount that something can hold.

Usually it means volume, such as liters or milliliters etc.

Ex: The bucket has a capacity of 9 liters.

VOLUME

Volume is the amount of space occupied by an object or a material. Units of volume can be liters and mil liters for liquids. For solids cubic centimeters or cubic meters are used as a unit of volume.

Items that may require liters to measure them are:

• A carton of ice cream
• Amounts of water consumed in a day by a human being eg: Neha drinks 5 liters of water a day.

Items that may require milliliters to measure them are:

• A glass of water
• A bottle of perfume.

To explain the concept of volume more clearly, few items are shown with varying capacities. Like a bottle of water. Milk carton, glass, juice pack, a big water bottle.

MEASUREMENT OF CAPACITY OF A CONTAINER

Take a container whose capacity is to be measured. Take a water bottle whose capacity is 1 lt. fill the water bottle completely

Pour the water into the container whose capacity is to be measured count the number of times you filled the container using water bottle

SHORTCUT TO PROBLEM SOLVING

To accurately measure the quantity of something jars with measuring scales should be used. A measuring jar contains pre-defined scales marked on the glass or plastic jar and given the exact volume measure.

VOLUME CONVERION TABLE

1 Liter (L) =10 Decilitre (DL)

1 deciliter (dl) = 10 centiliter (cl)

1 centiliter (cl) = 10 milliliter (ml)

1 liter (l) = 1000 milliliter (ml)

HISTORICAL PREVIEW

• The word liter is derived from an older French unit, the ‘litron’.
• Archimedes discovered volume of solid objects using volume of water.

MISCONCEPT/CONCEPT

Misconcept: Capacity of a container is same as volume of the liquid in it.

Concept: There is a confusion between liquid volume and capacity of container. The capacity of container is not always same as volume of the liquid in it.

For Example: a milk bottle have the capacity of 250 ml of milk but the volume of milk in it coluld be 100 ml only. Look at the milk bottle given below. The capacity of the bottle is 250 ml.

Misconcept: The volume of liquid gets changed when it is poured from one container to another container of a different size. There is more liquid in the one that has the highest level.

Concept: The volume of liquid does not change when the same is poured from one container to another container of a different size. It only takes the shape of the container.