A cuboidal box is 13 cm long, 11 cm broad and 9 cm high

A cuboidal box is 13 cm long, 11 cm broad and 9 cm high. A cubical box has side 12 cm. Tanu wants to pack 3060 cubes of side 1 cm in these boxes. The number of the cubes left unpacked in these boxes is
(a) 30
(b) 45
(c) 15
(d) 28

Anurag Mishra Professor Asked on 27th February 2016 in Maths.
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  • 1 Answer(s)

    Answer: (b) 45

    Solution:-
    The length, breadth and of a cuboidal box = 13 cm, 11 cm and 9 cm
    Then volume of cuboidal box = 13 x 11 x 9
    = 1287 cm^3

    The side of a cubical box = 12 cm
    Then, the volume of the cubical box = 12 x 12 x 12
    = 1728 cm^3

    The number of 1 cm side of a  box packed in cuboidal box = 1287
    And the number 1 cm side  of a box packed in cuboidal box = 1728

    Total number of side of 1 cm cubes box = 3060
    Then, the number of cubes left unpacked in those box = 3060 – (1287 + 1728)
    = 3060 – 3015
    = 45

    Hence, the correct answer is option (b) 45.

     

    Anurag Mishra Professor Answered on 27th February 2016.
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