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      Question

      Two identical cubes are joined together to form a

      cuboid. If each cube has a total surface area of 54 cm², what is the total surface area of the resulting cuboid?
      A 30 cm² Correct Answer Incorrect Answer
      B 90 cm² Correct Answer Incorrect Answer
      C 43 cm² Correct Answer Incorrect Answer
      D 35 cm² Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the length of each edge of the cube = ‘a’ cm

      So, 6 × a² = 54

      So, a² = 9

      Or, a = 3

      So, length of the cuboid = 2 × a = 2 × 3 = 6 cm

      Width of the cuboid = a = 3 cm

      And, height of the cuboid = a = 3 cm

      Desired area = 2 × (3 × 3 + 3 × 6 + 3 × 6) = 2 × 45 = 90 cm²

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