MathematicsThree cubes each of side 15 cm   are joined end-to-end. What is the total surface area of the resulting cuboid?

Three cubes each of side 15 cm   are joined end-to-end. What is the total surface area of the resulting cuboid?


  1. A
    3250  cm 2  
  2. B
    3150  cm 2  
  3. C
    3100  cm 2  
  4. D
    2250  cm 2   

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    Solution:

    Given are three cubes each of side 15 cm  .
    We have the following formula,
    Surface area of the cuboid = 2 lb+bh+hl  
    We have,
    h=15cm
    l = 15 + 15 + 15
    = 45cm
    b=15cm
    Then the surface area will be,
    =2(45×15+15×15+45×15)
    =2(675+225+675)
    =2(1575)
    =3150  cm 2  
    Thus, the total surface area of the resulting cuboid is 3150  cm 2  .
    Therefore the correct option is 2.
     
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