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8th Class Mathematics Cubes and Cube Roots Question Bank Cubes and Cube Roots

  • question_answer
    Evaluate \[\sqrt[3]{\frac{343\times 125}{0.064}}\].

    A)  \[875\]                                

    B)                         \[8.75\]              

    C)                         \[807.5\]                            

    D)                         \[87.5\]

    Correct Answer: D

    Solution :

    \[\sqrt[3]{\frac{343\times 125}{0.064}}=\sqrt[3]{\frac{{{7}^{3}}\times {{5}^{3}}}{{{(0.4)}^{3}}}}\] \[=\frac{7\times 5}{0.4}=\frac{7\times 5\times {{\cancel{10}}^{5}}}{{{\cancel{4}}_{2}}}=\frac{175}{2}=87.5\]


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