Geometry · Cuboids · Paths on a surface · Ribbon length · Edge counting
Problem 1, 2019
The three presents in the picture are all boxes in the shape of a cuboid with edge lengths \(10\) cm, \(20\) cm and \(30\) cm. Reading from left to right, the ribbon tying them measures \(x\) cm, \(y\) cm and \(z\) cm, and the bow is identical on all three presents. Which of the following statements is true?
- A \(x = y = z\)
- B \(x > y > z\)
- C \(x = y > z\)
- D \(x < y < z\)
- E \(x > y = z\)
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2019, 1. letnik, category A, problem A1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source