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A chocolate box is a prism 25 cm long whose two ends are equilateral triangles of side 6 cm. What is the total area of card used to make it, in square cm? (Take √3 = 1.73.)

Competition practiceMensuration
  • A450
  • B465.57
  • C512.28
  • D481.14

Step-by-Step Solution

The three long faces are rectangles 6 cm by 25 cm, giving sq cm. Each triangular end is (√3/4) sq cm, and there are two, adding 31.14 sq cm. Total = 481.14 sq cm. The trap 450 makes an open tube with no ends; 465.57 closes only one end; 512.28 uses (√3/2) for each end, doubling the correct triangle area.
Answer: D) 481.14

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