📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      The lateral surface area of a cube is 144 cm2

      . The length of a cuboid is 25% more than the side of the cube. The breadth of the cuboid is 5 cm less than its length and 20% less than its height. Find the total surface area of the cuboid.
      A 100 cm^2 Correct Answer Incorrect Answer
      B 334 cm^2 Correct Answer Incorrect Answer
      C 324 cm^2 Correct Answer Incorrect Answer
      D 226 cm^2 Correct Answer Incorrect Answer
      E 221 cm^2 Correct Answer Incorrect Answer

      Solution

      Let the length of the cube be ‘a’ cm
      According to the question,
      4a2 = 144
      => a2 = 36
      => a = 6
      Therefore, length of the cuboid = l = 1.25 × 6 = 7.5 cm
      Breadth of the cuboid = b = 7.5 – 5 = 2.5 cm
      Height of the cuboid = h = 2.5/0.8 = 3.125 cm
      Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(7.5 × 2.5) + (2.5 × 3.125) + (7.5 × 3.125)} = 100 cm2

      Practice Next
      More Mensuration Questions
      ask-question