Railways Sample Paper RRB (Assistant Loco Pilot & Technician) Sample Test Paper-11

  • question_answer
    A rectangular block 8 cm by 12 cm by 16 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

    A)  384                             

    B)  486

    C)  476                 

    D)       786

    Correct Answer: A

    Solution :

     Volume of the Rectangular block     \[=(8\times 12\times 16)\,\,cm\,=1536\,c{{m}^{3}}\] Side of the largest cube = H.C.E of 8 cm. 12 cm, 16 cm= 4 cm. Volume of this cube   \[=(4\times 4\times 4)c{{m}^{3=}}=64\,c{{m}^{3}}\] Number of cubes \[=1536/64=384.\]


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