Question
Download Solution PDFजर घनाची कडा 2 सेमीने वाढविली गेली तर घनता 488 सेमी3 ने वाढेल. मग घनाच्या प्रत्येक कडेची लांबी किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFघनाची लांबी x सेमी
⇒ 2 सेमी वाढानंतरची लांबी = x + 2 मी
⇒ सुरुवातीचे घनफळ = x 3
⇒ बाजू वाढविल्यानंतर घनफळ = (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 सेमी
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