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SSC Quantitative Aptitude Mensuration Question Bank Mensuration-II (I)

  • question_answer
    A rectangular water tank is open at the top. Its capacity is \[24\,{{m}^{3}}.\]Its length and breadth are 4 m and 3 m respectively. Ignoring the thickness of the material used for building the tank, the total cost of  painting the inner and outer surfaces of the tank at Rs. 10 per \[{{m}^{2}},\]is

    A) Rs. 400

    B) Rs. 500

    C) Rs. 600

    D) Rs. 800

    Correct Answer: D

    Solution :

    [d] Let the depth of the tank be x m. Then,\[4\times 3\times x=24\]\[\Rightarrow \]\[x=2\,m\] Area of the surface to be painted \[=2\times [\{2\times (l+b)\times h\}+(l+b)\}]\]                         \[=2\times [2\times (4+3)\times 2+(4\times 3)]\,{{m}^{2}}\]                                     \[=80\,{{m}^{2}}\] Cost of painting \[=\text{Rs}.\,(80\times 10)\] \[=\text{Rs}.\,800\]


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