यदि एक चतुर्पाश्वीय का आयतन 18√2 सेमी3 है, तो चतुर्पाश्वीय के पार्श्व पृष्ठीय क्षेत्रफल ज्ञात कीजिए।

  1. 36√3 सेमी2
  2. 18√3 सेमी2
  3. 27√3 सेमी2
  4. 24√3 सेमी2

Answer (Detailed Solution Below)

Option 3 : 27√3 सेमी2
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दिया हुआ:

यदि एक चतुर्पाश्वीय का आयतन 18√2 सेमी3 है,

गणना:

माना चतुर्पाश्वीय किनारे की लंबाई a सेमी है

अब, प्रश्न के अनुसार

√2/12 × a3 = 18√2

⇒ a3 = 216

तो, a = 6 सेमी

तो, पार्श्व पृष्ठीय क्षेत्रफल = 3 × एक पार्श्व फलक का क्षेत्रफल

⇒ 3 × √3/4 × 62

∴ 27√3 सेमी2

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