8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A stone of volume \[36\text{ }c{{m}^{3}}\]is placed in a rectangular tank measuring \[8\text{ }cm\] by \[6\text{ }cm\] by \[\text{5 }cm\]. A student wants to fill the tank with water to a height of \[\text{4 }cm\]. What is the volume of water needed?

    A)  \[\text{218 }c{{m}^{3}}\]                            

    B)  \[\text{156 }c{{m}^{3}}\]            

    C)  \[\text{228 }c{{m}^{3}}\]            

    D)         \[\text{192 }c{{m}^{3}}\]                                            

    Correct Answer: B

    Solution :

    Volume of water needed to fill the tank to a height of 4 cm \[=(8\times 6\times 4)\,\,c{{m}^{3}}=192\,c{{m}^{3}}\] Volume of the stone \[=36\text{ }c{{m}^{3}}\] \[\therefore \]Volume of water needed \[=192-36=156\text{ }c{{m}^{3}}\]


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