Question
Download Solution PDFஒரு கனசதுரத்தின் விளிம்பு 2 செ.மீ அதிகரித்தால், அதன் கனஅளவு 488 செ.மீ3 அதிகரிக்கும். எனில், கனசதுரத்தின் ஒவ்வொரு விளிம்பின் நீளம் என்னவாக இருக்கும்?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகனசதுரத்தின் நீளம் x செ.மீ ஆக இருக்கட்டும்
⇒ 2 செ.மீ அதிகரிப்புக்குப் பிறகு நீளம் = x + 2 மீ
⇒ ஆரம்ப கன அளவு= x3
⇒ பக்கத்தை அதிகரித்த பின் கன அளவு = (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 செ.மீ
Last updated on Jul 19, 2025
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