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Term 3 Chapter 3 | 6th Maths - Expressing the Area in Square Units | 6th Maths : Term 3 Unit 3 : Perimeter and Area

Chapter: 6th Maths : Term 3 Unit 3 : Perimeter and Area

Expressing the Area in Square Units

Consider a square of side 1 cm. Therefore, its area is 1 sq. cm. Divide one of its sides into 10 equal parts. One such part is equal to 1 mm. We know that 1 cm = 10 mm.

Expressing the Area in Square Units

Consider a square of side 1 cm. Therefore, its area is 1 sq. cm (1 cm2). Divide one of its sides into 10 equal parts. One such part is equal to 1 mm. We know that 1 cm = 10 mm. That is a square of side 1 cm is made up of 100 small squares with 1 mm square area each. Therefore, the side of this square is 10 mm and the area of this square = side × side =10 mm × 10 mm = 100 sq. mm (100 mm2). Therefore, the area of a square with 1 cm side is 1 cm2 = 100 mm2.

Similarly, the other conversions can also be done. For example,

i) 1 cm2 = 10 mm × 10 mm

             = 100 mm2

ii) 1 m2 = 100 cm x 100 cm

             = 10,000 cm2

iii) 1 km2 = 1000 m x 1000 m

                 = 10,00,000 m2


 

Example 15

Fill in the blanks.

i) 2 cm2 = _____ mm2

ii) 18 m2 = _____ cm2

iii) 5 km2 = _____ m2

Solution

 i) 2 cm2 = 2 × 100 = 200 mm2

ii) 18 m2 = 18 × 10000 = 1,80,000 cm2

iii) 5 km2 = 5 × 1000000 = 50,00,000 m2

 

DO YOU KNOW?

1 acre = 4046.86 m2

1 hectare = 10,000 m2

 

Try these

Fill in the blanks

i) 7 cm2700 mm2

ii) 10 m2100000 cm2

iii) 3 km23000000 m2

 

ICT CORNER

Perimeter and Area

Expected Outcome


Step – 1

Open the Browser by typing the URL Link given below (or) Scan the QR Code. GeoGebra work sheet named “Perimeter and Area” will open. There is a worksheet under the title Counting by squares.

Step – 2

Click on New Problem and find the perimeter and Area of the shape by counting along the squares. Click on the respective check boxes to check your answer.


Browse in the link:

Perimeter and Area: https://ggbm.at/dxv8xvhr or Scan the QR Code.


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6th Maths : Term 3 Unit 3 : Perimeter and Area : Expressing the Area in Square Units | Term 3 Chapter 3 | 6th Maths


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