Question
Download Solution PDFIf the edge of a cube is increased by 2 cm, the volume will increase by 488 cm3. What then will be the length of each edge of the cube?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the length of the cube be x cm
⇒ The length after 2 cm increase = x + 2 m
⇒ Initial volume = x3
⇒ Volume after increasing side = (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 cmLast updated on Jul 16, 2025
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