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      Question

      A square whose diagonal is 12√ 2cm is made base of the

      pyramid. if height of the pyramid is 15cm, then what is the total surface area of the pyramid.(cm 2)
      A 72(2+√29) Correct Answer Incorrect Answer
      B 2(2+√29) Correct Answer Incorrect Answer
      C 27(2+√29) Correct Answer Incorrect Answer
      D 72(6+√29) Correct Answer Incorrect Answer

      Solution

      Diagonal of square =a√ 2 = 12 √ 2cm a=12cm            For square base of pyramid – now total surface area of pyramid =Area of base +1/2 ×perimeter of base ×slant height = (12)2+(4×12)/2 x3√29 =144+72√29 =72(2+√29) cm2

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