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      Question

      The base of a solid right prism is a triangle whose

      sides are 7cm, 24cm and 25cm. the height of the prism is 5 cm then the total surface area of the prism is?
      A 288 cm² Correct Answer Incorrect Answer
      B 300 cm² Correct Answer Incorrect Answer
      C 512 cm² Correct Answer Incorrect Answer
      D 448 cm² Correct Answer Incorrect Answer

      Solution

      As 7, 24  & 25 is satisfying Pythagoras so it is a right angle triangle. Total surface area of prism = Perimeter of base× Height + 2 × Area of base = (7 + 24 + 25) × 5 + 2 × (1/2 × 7 × 24) = 56 × 5 + 2 × 84 = 280 + 168 = 448 cm 2 

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