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Question

The surface area of  a cuboid is 3600 sq m. If its dimensions are in the ratio 4:2:2, find its volume.

  1. 430 cu m
  2. 421 cu m
  3. 432 cu m
  4. 411 cu m

The correct answer is: 432 cu m


    let the dimensions of the cuboid be  4x,2x,2x.
    surface area of cuboid
    =2[4x × 2x + 2x × 2x + 2x × 4x]
    =2[8x2 + 4x2 + 8x2]
    =2[20x2]
    =40x2
    According to the question,
    40x2=3600
    X2 =3600/40
    X2=9
    X=(9)1 half
    X=3
    Dimensions =12m , 6m , 6m
    Volume= 12×6×6
    Volume= 432 cu m

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