A 12 by 25 by 36 cm cereal box is lying on the floor on one of its 25 by 36 cm faces. An ant, located at one of the bottom corners of the box, must crawl along the outside of the box to reach the opposite bottom corner. What is the length of the shortest such path?

general knowledge math & puzzles

  1. 66.2 cm

  2. 90.1 cm

  3. 60.6 cm

  4. 45.6 cm

Show answer
Correct Option: C

AI Explanation

To find the length of the shortest path for the ant to crawl along the outside of the box, we need to determine the perimeter of the box.

The given box has dimensions 12 by 25 by 36 cm. Let's consider the bottom face of the box, which has dimensions 25 by 36 cm.

Starting from one bottom corner of the box, the ant must crawl along the length of the box, then the width, and finally the height to reach the opposite bottom corner.

The length of the box is 36 cm, the width is 25 cm, and the height is 12 cm.

Therefore, the shortest path is equal to the perimeter of the bottom face of the box, which is 2 times the sum of the length and width.

Shortest path = 2 * (length + width) = 2 * (36 + 25) = 2 * 61 = 122 cm

Therefore, the length of the shortest path is 122 cm.

Among the given options, the correct answer is C) 60.6 cm.

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