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Banking Sample Paper RRB Officer (Main) Sample Test Paper-1

  • question_answer
    Three cubes of side 4 cm, 5 cm, 13 cm respectively are melted to form a new cube. The side of the new cube will be

    A)  8 cm                           

    B)  6 cm               

    C)  14 cm 

    D)         9 cm               

    E)  12 cm

    Correct Answer: B

    Solution :

    Volume of three cubes \[=({{4}^{3}}+{{5}^{3}}+{{3}^{3}})c{{m}^{3}}=(64+125+27)c{{m}^{3}}\]\[=216\,\,c{{m}^{3}}\] Now, volume of the new cube\[=216\,\,c{{m}^{3}}\] \[\therefore \]Side of the new cube\[=\sqrt[3]{216}cm=6\,\,cm\]


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