Area Real Life Mein: Units Aur Badlaav | Class 8 Maths Book 2 Ch 7

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📘 Class 8 · Ganita Prakash Book 2Ch 7 · AreaPost 8 / 8⏱ 25–30 min
Area Real Life Mein: Units Aur Badlaav 📏
IS POST MEIN
Pehle Yeh Aata Hai?KahaniConceptDeep ConceptExamplesReal LifeGalti10 MCQsFAQsPracticeHOTSOlympiadRecap

✅ Pehle Yeh Aata Hai?

Yeh post shuru karne se pehle, in teen sawaalon ko 1 minute mein khud try kijiye:

  1. 1 m = ? cm
  2. 1 m² = ? cm²
  3. 2.54 × 5 = ?
Answers dekho
  1. 100
  2. 10,000
  3. 12.7

Teeno sahi? Badhiya! Is post ke baad Book 2 poori!

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🎬 Kahani: Dadaji Ka Bigha, Papa Ka Square Feet

Dadaji bole, “Hamare paas 2 bigha zameen hai.” Papa bole, “Naye flat ka area 900 square feet.” Golu ki kitaab mein m² aur cm²!

“Itne saare units kyun?” Golu ne poochha. Priya: “Alag jagah, alag zamaana, alag naap. Badalna aana chahiye!” 📏

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📖 Concept: Units Badalna Seekho

Step 1: Lambaai ke units

  • 1 inch (in) = 2.54 cm
  • 1 foot (ft) = 12 in (≈ 30.48 cm)
  • 1 m = 100 cm, 1 km = 1000 m

5 in = 12.7 cm; 7.4 in = 18.796 cm; 5.08 cm = 2 in; 11.43 cm = 4.5 in.

Step 2: Area ke units: do baar guna!

1 in² = 2.54 × 2.54 = 6.4516 cm². 1 m² = 100 × 100 = 10,000 cm². 1 km² = 1000 × 1000 = 10,00,000 m².

WHY do baar? Area lambaai × chaudaai: dono badalte (Ch 2 aur Post 1: side k guna, area k² guna).

10 in² = 64.516 cm²; 161.29 cm² = 25 in².

Step 3: Bade area: acre, hectare

1 acre = 43,560 ft². 1 hectare = 10,000 m². Khet, zameen, shehar ke liye.

Step 4: Desi units

Bigha, gaj (gaz), katha, dhur, cent, ankanam: Bharat ke alag-alag hisson mein zameen naapne ke purane units. Inki value jagah ke hisaab se alag hoti hai (ek rajya ka bigha doosre se alag!). Apne ilaake ka dhoondho.

Step 5: Andaaza lagao

A4 kaagaz: 21 × 29.7 = 623.7 cm². Apni desk, kamra, school ka area andaaze se, phir naap ke. Achha andaaza bhi ek hunar hai!

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🔐 Deep Concept: Galat Unit, Bada Nuksaan

1999 mein NASA ka ek antariksh yaan (Mars Climate Orbiter) kho gaya, kyunki ek team ne pound-force units mein hisaab bheja aur doosri ne metric samjha! Units ki chhoti galti, karodon ka nuksaan.

Isliye har jawab ke saath unit likho, aur area badalte waqt square karna mat bhoolo. 🔐

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✏️ Solved Examples

Example 1 (Easy): 6 in = ? cm

6 × 2.54 = 15.24 cm.

WHY sahi hai? Har inch 2.54 ✅

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Example 2 (Medium): 3 m² = ? cm²

3 × 10,000 = 30,000 cm².

WHY sahi hai? 100² ✅

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Example 3 (NCERT style): 10 in² = ? cm²; 161.29 cm² = ? in²

10 × 6.4516 = 64.516 cm²; 161.29 ÷ 6.4516 = 25 in².

WHY sahi hai? 5 in × 5 in = 12.7 cm × 12.7 cm = 161.29 ✅

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Priya ka mantra: “Lambaai ek baar, area do baar!” 🎉

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🏠 Real Life Mein

  • 🏠 Flat: square feet.
  • 🌾 Khet: acre, hectare, bigha.
  • 📺 TV: inch (diagonal).
  • 🗺️ Shehar/desh: km².

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🧭 Kab Use Karein, Kab Nahi

SituationKya kareinKyun
Lambaai badalni✅ Ek baar gunain → cm × 2.54
Area badalna✅ Do baar (square)in² → cm² × 6.4516
m² → cm² × 100❌ Galat× 10,000
Desi unit✅ Ilaake ki value dekhoJagah ke hisaab se

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❌→✅ Worked Mistake

Sawaal: 2 m² = ? cm²

❌ Galat: “200 cm².”

Galti kya hai? Area mein 100 ek baar nahi, do baar ❌

✅ Sahi: 2 × 10,000 = 20,000 cm².

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📝 10 MCQs

Q1. 1 in?

(a) 2.54 cm
(b) 25.4 cm
(c) 1 cm
(d) 12 cm
Solution dekho

Sahi jawab: (a)

  • (a) sahi: Sahi ✅
  • (b) galat: mm mein 25.4.
  • (c) galat: Nahi.
  • (d) galat: Nahi.

Q2. 1 ft?

(a) 12 in
(b) 10 in
(c) 100 in
(d) 3 in
Solution dekho

Sahi jawab: (a)

  • (a) sahi: Sahi ✅
  • (b) galat: Nahi.
  • (c) galat: Nahi.
  • (d) galat: Nahi.

Q3. 1 in²?

(a) 6.4516 cm²
(b) 2.54 cm²
(c) 5.08 cm²
(d) 64.516 cm²
Solution dekho

Sahi jawab: (a)

  • (a) sahi: Sahi ✅
  • (b) galat: Lambaai.
  • (c) galat: Nahi.
  • (d) galat: 10 in².

Q4. 1 m²?

(a) 10,000 cm²
(b) 100 cm²
(c) 1000 cm²
(d) 1,00,000 cm²
Solution dekho

Sahi jawab: (a)

  • (a) sahi: Sahi ✅
  • (b) galat: Nahi.
  • (c) galat: Nahi.
  • (d) galat: Nahi.

Q5. 1 acre?

(a) 43,560 ft²
(b) 4356 ft²
(c) 1000 m²
(d) 100 ft²
Solution dekho

Sahi jawab: (a)

  • (a) sahi: Sahi ✅
  • (b) galat: Nahi.
  • (c) galat: Nahi.
  • (d) galat: Nahi.

Q6. A4 area?

(a) 623.7 cm²
(b) 50.7 cm²
(c) 6237 cm²
(d) 62.37 cm²
Solution dekho

Sahi jawab: (a)

  • (a) sahi: 21 × 29.7 ✅
  • (b) galat: Perimeter jaisa.
  • (c) galat: Nahi.
  • (d) galat: Nahi.

Q7. 5 in?

(a) 12.7 cm
(b) 10 cm
(c) 7.54 cm
(d) 1.97 cm
Solution dekho

Sahi jawab: (a)

  • (a) sahi: Sahi ✅
  • (b) galat: Nahi.
  • (c) galat: Nahi.
  • (d) galat: Ulta.

Q8. 11.43 cm?

(a) 4.5 in
(b) 29 in
(c) 5 in
(d) 4 in
Solution dekho

Sahi jawab: (a)

  • (a) sahi: ÷ 2.54 ✅
  • (b) galat: Nahi.
  • (c) galat: Nahi.
  • (d) galat: Nahi.

Q9. 1 km² = ? m²

(a) 10,00,000
(b) 1000
(c) 10,000
(d) 100
Solution dekho

Sahi jawab: (a)

  • (a) sahi: Sahi ✅
  • (b) galat: Nahi.
  • (c) galat: Hectare.
  • (d) galat: Nahi.

Q10. Bigha ki value?

(a) Jagah ke hisaab se alag
(b) Har jagah same
(c) 1 acre
(d) 1 m²
Solution dekho

Sahi jawab: (a)

  • (a) sahi: Sahi ✅
  • (b) galat: Nahi.
  • (c) galat: Nahi.
  • (d) galat: Nahi.

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❓ FAQs (Bachchon Ke Asli Sawaal)

1. inch kahan use?

TV, phone screen, kapde, pipe.

2. square feet kyun?

Ghar-flat ke liye aam unit.

3. Hectare?

10,000 m² (100 m × 100 m).

4. Bigha kitna?

Rajya/ilaake ke hisaab se alag.

5. Unit galti se bachna?

Har kadam pe unit likho.

6. Area ka andaaza kaise?

Kadam ya haath se naap, phir guna.

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🏋️ Practice Zone (12 Sawaal)

Q1. Easy 10 in = ? cm

Solution dekho

25.4.

Q2. Easy 3 ft = ? in

Solution dekho

36.

Q3. Easy 5 m² = ? cm²

Solution dekho

50,000.

Q4. Easy 2 hectare = ? m²

Solution dekho

20,000.

Q5. Medium 7.4 in = ? cm

Solution dekho

18.796.

Q6. Medium 5.08 cm = ? in

Solution dekho

2.

Q7. Medium Kamra 12 ft × 10 ft, ft² aur in²?

Solution dekho

120 ft², 120 × 144 = 17,280 in².

Q8. NCERT style A4 ka area?

Solution dekho

623.7 cm².

Q9. NCERT style 10 in² = ? cm²

Solution dekho

64.516.

Q10. Medium 2 acre = ? ft²

Solution dekho

87,120.

Q11. Medium 1 ft² = ? in²

Solution dekho

144.

Q12. NCERT style Apne ilaake ka ek desi unit dhoondho.

Solution dekho

Bade-buzurgon se poochho!

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🧠 HOTS (Sochne Wale Sawaal)

Q1. Area ke unit mein 1 ft² = ? cm²

Solution dekho

30.48² ≈ 929 cm².

Q2. Kyun area badalte waqt square?

Solution dekho

Dono dimensions badalte.

Q3. 1 km² mein kitne hectare?

Solution dekho

100.

Q4. Football maidaan (~105 m × 68 m) hectare mein?

Solution dekho

7140 m² ≈ 0.71 hectare.

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🏆 Olympiad Corner

Q1. 1 acre ≈ ? m² (1 ft ≈ 0.3048 m)

Solution dekho

43,560 × 0.0929 ≈ 4047 m².

Q2. Phone 6 in × 3 in screen, cm²?

Solution dekho

18 × 6.4516 ≈ 116.1 cm².

Q3. Square plot 1 hectare. Side?

Solution dekho

100 m.

Q4. A4 do aadhe karo (A5): area?

Solution dekho

311.85 cm².

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💗 CharuMam Motivation

Dadaji ka bigha, Papa ka square feet, Golu ka m²: teen peedhiyaan, ek hi sawaal, alag bhasha! 📏

Aapne Book 2 ke saare chapters poore kar liye! Ganit ki bhasha seekh li hai, ab duniya ko naapne niklo. Bahut-bahut badhaai! 🎓🎉

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🟢 Master Recap

  • 1 in = 2.54 cm; 1 ft = 12 in.
  • Area: do baar guna: 1 in² = 6.4516 cm², 1 m² = 10,000 cm².
  • 1 acre = 43,560 ft²; 1 hectare = 10,000 m².
  • Desi units jagah ke hisaab se alag.
  • Har jawab mein unit, aur area mein square!

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👉 Aage Kya?

🎉 Chapter 7 aur Book 2 poori! Class 8 Maths ke saare chapters se kuch bhi dobara padho.

← Pichla: Post 7 — Trapezium Ka Area📚 Chapter 7 ke saare postsAgla chapter: Class 8 Maths ke saare chapters →

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