What will be the Number of Cubes? If

The internal base of a rectangular box is 15 cm long and 12.5 cm wide and its height is 7.5 cm. The box is filled with cubes each of side 2.5 cm. The number of cubes will be

  1. 90
  2. 120
  3. 45
  4. 60
Monis Rasool Professor Asked on 20th September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 90

    Explanation:-
    The length of the box = 15 cm
    The width of the box = 25/2 cm = 12.5 cm
    The height of the box = 15/2 cm = 7.5 cm

    Formula-
    The volume of the rectangular box = length x width x height

    Then, the volume of the given box = 15 x 12.5 x 7.5
    = 1406.25 cm3

    The side of the cube = 5/2 = 2.5 cm
    The volume of the cube = (2.5)3
    = 2.5 x 2.5 x 2.5 = 15.625 cm3

    The number of the cubes filled in the rectangular box = 1406.25/15.625
    = 90 boxes

    Hence, the answer is (1) 90.

    Anurag Mishra Professor Answered on 20th September 2015.
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