Question
Download Solution PDFഒരു ഘനത്തിന്റെ അരിക് 2 സെന്റിമീറ്റർ വർദ്ധിപ്പിച്ചാൽ, വ്യാപ്തം 488 സെന്റിമീറ്റർ3 വർദ്ധിക്കും. അപ്പോൾ ഘനത്തിന്റെ ഓരോ അരികുകളുടെയും നീളം എന്തായിരിക്കും?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFഘനത്തിന്റെ നീളം x cm ആണ്.
⇒ 2 സെന്റിമീറ്ററിന് ശേഷമുള്ള നീളം = x + 2 മീ
⇒ പ്രാരംഭ വ്യാപ്തം = x3
⇒ വശം വർധിച്ചതിന് ശേഷമുള്ള വ്യാപ്തം = (x + 2)3
⇒ (x + 2)3 – x3 = 488
⇒ x3 + 6x2 + 12x + 8 – x3 = 488
⇒ 6x2 + 12x – 480 = 0
⇒ x2 + 2x – 80 = 0
⇒ (x – 8) (x + 10) = 0
⇒ x = 8, -10
⇒ x = 8 cm
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