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

  • question_answer
    The base of a prism is a right angled triangle with two sides 5 cm and 12 cm. The height of the prism  is 10 cm. The total surface area of the prism is [SSC CGL Tier II, 2014]

    A) 360 sq cm

    B) 300 sq cm

    C) 330 sq cm

    D) 325 sq cm

    Correct Answer: A

    Solution :

    [a] Hypotenuse of base triangle \[=\sqrt{{{12}^{2}}+{{5}^{2}}}=\sqrt{144+25}=\sqrt{169}=13\] Perimeter of base \[=13+12+5=30\,cm\] Area of base \[=\frac{1}{2}\times 12\times 5=30\,c{{m}^{2}}\] Now, total surface area of prism \[=2\times \]Area of base + Perimeter of base \[\times \]Height \[=2\times 30+30+10=60+300=360\,c{{m}^{2}}\]


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