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AMO 2023 – Secondary 2 (Grade 8) Question 5

AMO · AMO 2023 – Secondary 2 (Grade 8)

Question 5

$ABCDEFGH$ is a unit cube with $AB=1$. A square pyramid $ABCDG$ is constructed inside it. What is its surface area? The printed choices use “units”; for area these mean square units.

Question illustration
  1. $1+\sqrt5$ units
  2. $4-\sqrt2$ units
  3. $2+\sqrt2$ units
  4. $2+\sqrt6$ units