MathematicsA cuboid of dimension 60cm ×54cm×30cm. How many small cubes with 6cm can be placed in the given cuboid ?

A cuboid of dimension 60cm ×54cm×30cm. How many small cubes with 6cm can be placed in the given cuboid ?


  1. A
    440
  2. B
    400
  3. C
    450
  4. D
    None of these 

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    Solution:

    From the question, we have                                      Length (l) = 60cm
    Breadth (b) = 54cm
    Height (h) = 30cm
     As we know that,
    Volume of cuboid = (l×b×h) = (60×54×30) = 97200 cm3
    Volume of cube = (side)3= (6)3 = 216 cm3
    Number of small cubes = Volume of CuboidVolume of Cube  = 97200216 = 450
    Hence, 450 small cubes can be placed in the given cuboid.
      
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