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14 votes
• Packaging of a product can cost a lot of money. Can you design

the cheapest package?

• Your task is to decide on the most cost effective and efficient
way to pack 12 golf balls. The radius of each golf ball is 1,8 cm.
All 12 golf balls fit side by side and you must design a box that
will hold the 12 golf balls with the minimum amount of wasted
card. The cost of cardboard is going to 0,01€ per cm squared.

User Kim San
by
4.9k points

1 Answer

8 votes

The best arrangement can be

  • 3 rows and 4balls each row

So

  • Length of one row=1.8(4)=7.2cm
  • Width=1.8(3)=5.4cm
  • Height=1.8(2)=3.6cm

So

TSA

  • 2(LB+BH+LH)
  • 2(5.4(7.2)+(7.2)(3.6)+3.6(5.4))
  • 2(84.24)
  • 168.48cm²

Total cost

  • 168.48(0.01)
  • 1.685€
User Honorable
by
4.2k points