लोहे से बने 3 सेमी भुजा के एक घन को पिघलाया जाता है और 8 छोटे घनों में ढाला जाता है, तो प्रत्येक छोटे घन की भुजा ज्ञात कीजिये।

  1. 2.5 सेमी
  2. 1.5 सेमी
  3. 2 सेमी
  4. 1 सेमी

Answer (Detailed Solution Below)

Option 2 : 1.5 सेमी
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Detailed Solution

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दिया गया है:

घन की भुजा = 3 सेमी

सूत्र:

घन का आयतन = a3                       (a = भुजा)

गणना:

घन का आयतन = 3 × 3 × 3 = 27 सेमी3

⇒ छोटे घन का आयतन = 27/8 सेमी3

माना कि प्रत्येक छोटे घन की भुजा x है, तो

x3 = 27/8

⇒ x = ∛(27/8)

⇒ x = 3/2

⇒ x = 1.5

∴ प्रत्येक छोटे घन की भुजा 1.5 सेमी है।
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