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      Question

      The ratio of a closed cuboid's length, width, and height

      is 5: 4: 3. The total surface area of this cuboid is 1500 cm². Find the volume (in cm³) of this cuboid.
      A 2835 Correct Answer Incorrect Answer
      B 3840 Correct Answer Incorrect Answer
      C 2243 Correct Answer Incorrect Answer
      D 2304 Correct Answer Incorrect Answer

      Solution

      The ratio of the l, b, and h = 5: 4: 3 l=5x b=4x h=3x surface area of cuboid = 2(lb +bh +hl)  1500= 2(20x2+12x2+15x2) 750=47x2 x2=750/4 =15.96 x=4 so now the volume of the cuboid = 60×64=3840 cubic cm.

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