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      Question

      The ratio of the length, width and height of a closed

      cuboid is given as 6 : 3 : 2. The total surface area of this cuboid is given as 1800 cm2. Find the volume (in cm3) of this cuboid.
      A 4650 Correct Answer Incorrect Answer
      B 4500 Correct Answer Incorrect Answer
      C 4200 Correct Answer Incorrect Answer
      D 4800 Correct Answer Incorrect Answer

      Solution

      The ratio of the l, b and h = 6:3:2 l=6x b=3x h=2x surface area of cuboid = 2(lb+bh+hl)  1800= 2(18x2+6x2+12x2 900=36x2 x2=25 x=5 so now the volume of cuboid = 36×125=4500cubic cm

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