Question
Download Solution PDFএকটি ঘনকের প্রান্ত 2 সেমি বৃদ্ধি করা হলে এর আয়তন 488 ঘনসেমি বৃদ্ধি পাবে। ঘনকের প্রতিটি প্রান্তের দৈর্ঘ্য কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFধরা যাক ঘনকের দৈর্ঘ্যটি হল x সেমি
⇒ 2 সেমি বৃদ্ধির পরে দৈর্ঘ্য হবে = x + 2 সেমি
⇒ প্রাথমিক আয়তন = x3
⇒ প্রান্তের দৈর্ঘ্য বৃদ্ধির পরে আয়তন= (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 সেমি
Last updated on Jul 16, 2025
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