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A marquee is a right pyramid on a square base of side 24 m, and each of its four triangular faces has a slant height of 20 m. How much canvas, in square metres, is needed for the sloping sides?

Competition practiceMensuration
  • A1536
  • B1920
  • C768
  • D960

Step-by-Step Solution

Each sloping face is a triangle with base 24 m and slant height 20 m, giving sq m, so four faces need sq m. The trap 1536 adds the sq m base, but a marquee pitched on the ground needs no canvas underneath; 20 drops the 1/2 from each triangle; 768 uses the VERTICAL height instead of the slant height — that height is √ m, and , which measures the inside of the tent rather than its skin.
Answer: D) 960

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