navpreet5864900 navpreet5864900
  • 08-01-2024
  • Mathematics
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the surface area of a cuboid is 720m². its length and breath are in ratio 4:5 and height is 6 m .find length and breath of cuboid​

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georgepahno georgepahno
  • 08-01-2024

Answer:

2(4x(5x) + 4x(6) + 5x(6)) = 720

20x² + 54x = 360

10x² + 27x - 180 = 0

x = (-27 ± √(27² - 4(10)(-180)))/(2(10))

= (-27 ± √7,929)/20

= (-27 ± 3√881)/20

= (-27 + 3√881)/20

length = 4((-27 + 3√881)/20)

= (-27 + 3√881)/5 m

breadth = 5((-27 + 3√881)/20)

= (-27 + 3√881)/4 m

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