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A cube and a cuboid have the same height. The cuboid base is rectangular. Are their lateral surface areas necessarily equal?

Class 8Surface Area of Cuboid and CubeMensuration
  • ANo, not necessarily
  • BYes, always equal
  • CYes, if heights match
  • DOnly if volumes match

Step-by-Step Solution

LSA depends on the perimeter of the base times the height. Equal heights do not guarantee equal base perimeters, so LSA need not be equal.
Answer: A) No, not necessarily

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