एक हॉल की लम्बाई, चौड़ाई और ऊँचाई क्रमशः 10 मीटर, 20 मीटर और 15 मीटर है। 10.20 रुपये/वर्ग मीटर की दर से हॉल के अंदर की दीवारों और छत की सफेदी कराने की लागत ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 2)
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  1. 13,394 रुपये
  2. 11,220 रुपये
  3. 15,320 रुपये
  4. 16,542 रुपये

Answer (Detailed Solution Below)

Option 2 : 11,220 रुपये
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दिया गया है:

हॉल की लम्बाई = 10 मीटर

हॉल की चौड़ाई = 20 मीटर

हॉल की ऊँचाई = 15 मीटर

दीवारों की सफेदी की दर = 10.20 रुपये/वर्ग मीटर

प्रयुक्त सूत्र:

आयत का क्षेत्रफल = L × B

चारों दीवारों का क्षेत्रफल = 2 × H × (L + B)

जहाँ, L = लम्बाई; B = चौड़ाई; H = ऊँचाई 

गणना:

हॉल का कुल क्षेत्रफल = चारों दीवारों का क्षेत्रफल + छत का क्षेत्रफल

⇒ 2 × H × (L + B) + (L × B)

⇒ 2 × 15 × (10 + 20) + (10 × 20)

⇒ 2× 15 × 30 + 200 

⇒ 900 + 200 = 1100 मीटर2

कुल लागत = 1100 × 10.20 = 11220 रुपये

∴ सही उत्तर 11220 रुपये है।

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