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

  • question_answer
    A cubical box has all sides of 26 m. Its volume will be

    A)  \[14626\,{{m}^{3}}\]                  

    B)  \[19726\,{{m}^{3}}\]

    C)  \[12645\,{{m}^{3}}\]                  

    D)  \[17576\,{{m}^{3}}\]

    Correct Answer: D

    Solution :

    : VOL \[{{a}^{3}}={{\left( 26 \right)}^{3}}\] \[={{\left( 25+1 \right)}^{3}}\] \[={{25}^{3}}+3\times 25\times 1\left( 25+1 \right)+{{1}^{3}}\] \[=15625+1875+1~=17576.\]


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