एका लंब कोनचितिचा पाया एक चौरस आहे ज्याची बाजू 15 सेमी आहे. जर त्याची उंची 8 सेमी असेल, तर एकूण पृष्ठफळ किती आहे?

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SSC CGL Tier 2 Quant Previous Paper 3 (Held On: 18 November 2020)
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  1. 920 सेमी2
  2. 900 सेमी2
  3. 940 सेमी2
  4. 930 सेमी2

Answer (Detailed Solution Below)

Option 4 : 930 सेमी2
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Detailed Solution

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गनणा:

एका लंब कोनचितिचा पाया एक चौरस आहे ज्याची बाजू 15 सेमी आहे.

लंब कोनचितिची उंची = 8 सेमी

वापरलेले सूत्र:

लंब कोनचितिचे एकूण पृष्ठफळ = (2 × पायाचे क्षेत्रफळ) + (पायाची परिमिती × लंब कोनचितिची उंची)

गनणा:

लंब कोनचितिच्या पायाचे क्षेत्रफळ = (बाजू)2

⇒ (15)2

⇒ 225 सेमी2

लंब कोनचितिच्या पायाची परिमिती = 4 × (बाजू)

⇒ 4 × (15)

⇒ 60 सेमी

आता,

लंब कोनचितिचे एकूण पृष्ठफळ = (2 × पायाचे क्षेत्रफळ) + (पायाची परिमिती × लंब कोनचितिची उंची)

⇒ ( 2 × 225) + (60 × 8)

⇒ 450 + 480

⇒ 930 सेमी2

∴ लंब कोनचितिचे एकूण पृष्ठफळ‍ 930 सेमी2 आहे.

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