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A tent is a pyramid standing on a square base of side 6 , and each of its four sloping faces is a triangle of slant height 5 . Find the area of canvas in the four sloping faces, in .

Competition practiceAreas & Volumes
  • A120
  • B60
  • C48
  • D96

Step-by-Step Solution

Each sloping face is a triangle on a 6 m base with height 5 m measured up the slope: ½ × . Four of them give . (Dropping the ½ gives ; the tent's vertical height is √ m, and using that in place of the slant height gives ; adding the of ground gives , but a tent needs no canvas on the floor.)
Answer: B) 60

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