Class 5 Maths - BIHAR

Weight and Capacity

The chapter 'Weight and Capacity' in Class 5 Bihar Board Mathematics introduces students to standard units of measuring mass and liquid volume. Learners explore the relationship between kilograms and grams, as well as litres and millilitres, through practical daily-life examples like buying vegetables or milk. Students master conversion between units, addition, subtraction, and word problems involving weight and capacity. This chapter builds a strong foundation for measurement topics in higher classes and frequently appears in BSEB Class 5 final examinations through conversion sums and word problems carrying significant weightage.

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Key Concepts

Units of Weight

Weight is measured in kilograms (kg) and grams (g). A heavier object is measured in kilograms, while lighter objects are measured in grams.

Units of Capacity

Capacity tells us how much liquid a container can hold. It is measured in litres (l) and millilitres (ml).

Conversion of Weight

To convert kilograms to grams, multiply by 1000 (since 1 kg = 1000 g). To convert grams to kilograms, divide by 1000.

Conversion of Capacity

To convert litres to millilitres, multiply by 1000 (since 1 l = 1000 ml). To convert millilitres to litres, divide by 1000.

Addition and Subtraction of Measurement

While adding or subtracting weight and capacity, always arrange the numbers in separate columns for larger units (kg/l) and smaller units (g/ml).

Important Formulas

1 kilogram (kg) = 1000 grams (g)
1 litre (l) = 1000 millilitres (ml)
Weight in grams = Weight in kg × 1000
Capacity in millilitres = Capacity in litres × 1000

Board Exam Info

In the Bihar (BSEB) Class 5 Mathematics examination, this chapter typically carries around 6 to 10 marks. Common question types include direct unit conversions, word problems on addition and subtraction of weights and capacities, and filling in the blanks.

Frequently Asked Questions

How do I convert kilograms into grams?

Why do we divide by 1000 when changing millilitres to litres?

Because 1 litre is equal to 1000 millilitres, converting a smaller unit to a larger unit requires division.

Can we add grams and kilograms directly?

No, you must convert them into the same unit (either both into grams or both into kilograms) before adding.

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