We have learnt how to change units like mm to cm, or cm to km

Let’s learn how to change square units as well

45.jpg

 

Hectares

 

Hectare is also a unit used to measure area.

 

1 hectare actually means 1 hecto metre square

        1 hectare = 1 hector metre 2

        1 hectare = 1 hm 2  

 

Also,

  1 hm = 100 m

(1 hm) 2 = (100 m) 2

1 hm 2 = 100 × 100 m 2

1 hm 2 = 10,000 m 2

 

∴ 1 hectare = 10,000 m 2

 

Lets take some examples

 

Find area of rectangle in m 2

46.jpg

Length = l = 50 cm

Breadth = b = 2000 cm

 

Area = l × b

 = 50 × 2000

 = 1,00,000 cm 2

 = 1,00,000 × (1/100) 2 m 2

 = 1,00,000 × 1/10,000 m 2

 = 10 m 2

 

Find area of rectangle in cm 2

46.jpg

Length = l = 2 m

  = 2 × 100 cm

  = 200 cm

 

Breadth = b = 10 cm

 

Area = l × b

= 200 × 10

= 2000 sq. cm

= 2000 cm 2

 

Find area in m 2

47.jpg

Length = l = 500 cm                      

= 500 × 1/100 cm (As 1 cm = 1/100 m)

= 5 m

 

Breadth = b = 3 m

 

Area = l × b

 = 5 × 3

 = 15 sq. cm

 = 15 m 2

 

Find area of rectangle in m 2

48.jpg

Length = l = 2 km

    = 2 × 1000 m       (1 km = 1000 m)

    = 2000 m

 

Breadth = b = 30 m

 

Area = l × b

 = 2,000 × 30

 = 60,000 sq. m

 = 60,000 m 2

 

Find area of rectangle in km 2

49.jpg

Length = l = 2000 m

  = 2000 × 1/1000 km           (1m = 1/1000 km )

  = 2 km

 

Breadth = b = 4 km

 

Area = l × b

        = 2 × 4

        = 8 sq. m

        = 8 km 2

 

Find area of rectangle in hectare

50.jpg

Length = l = 6 km

 = 6 × 1000 m     (1km = 1000 m)

 = 6000 m

 

  Breadth = b = 10 m

 

Area = l × b

 = 6000 × 10

= 60,000 m2

= 60,000 × 1/10,000 hectare    (1m 2 = 1/1000  hectare)

= 6 hectare

 

Find area of rectangle in hectare

51.jpg

Length = l = 3 km

Breadth = b = 4 km

 

Area = l × b

= 3 × 4

= 12 km 2

= 12 × 10,00,000 m 2                                             (1km 2 = 10,00,000 m)

= 1,20,00,000 m

= 1,20,00,000 × 1/10,000 hectare           (1m 2 = 1/10,000  hectare)

= 1,200 hectare

 

Change units

50 cm 2  in mm 2

= 50 cm 2

= 50 × 1 cm 2

= 50 × (10 mm) 2               (1 cm = 10 mm)

= 50 × 100 mm 2

= 5,000 mm 2

 

2 ha  in m 2

= 2 hectare

= 2 × 10,000 m 2         (1ha = 10,000 m 2 )

= 20,000 m 2

 

10 m 2  in cm 2

= 10 m 2

= 10 × 1 m 2

= 10 × (100 cm) 2

= 10 × 10,000 cm 2         (1 m = 100 cm)

= 1,00,000 cm 2

 

10 cm 2  in m 2

= 10 cm 2

= 10 × 1 cm 2

= 10 × (1/100  m) 2

= 1000 × 1/10000 m 2                       (1 cm = 1/100 m)

= 1/10 m 2

= 0.1 m 2

  1. Chapter 10 Class 6 Mensuration
  2. Concept wise

Transcript

Normal mm to cm 10 mm = 1 cm 1 mm = 1/10 cm Square units mm2 to cm2 10 mm = 1 cm (10 mm)2 = (1 cm)2 100 mm2 = 12 cm2 100 mm2 = 1 cm2 1 mm2 = 1/100 cm2 cm to m 100 cm = 1 m 1 cm = 1/100 m m to km 1000 m = 1 km 1 m = 1/1000 km cm2 to m2 100 cm = 1 m (100 cm)2 = (1 m)2 10000 cm2 = 1 m2 1 cm2 = 1/10000 m2 m2 to km2 1000 m = 1 km (1000 m)2 = (1 km)2 10,00,000 m2 = 1 km2 1 m2 = 1/10,00,000 km2

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.