All Problems
Problem #88 MEDIUM

The Ant on a Cube

Amazon Adobe Geometry Math

Problem Statement

An ant sits at one corner of a solid cube. It wants to reach the corner diagonally opposite (the farthest corner). The ant can only walk along the surface of the cube, not through the interior. If the cube has side length 1, what is the shortest path the ant can walk along the surface? Describe the path and prove it is optimal.

Answer & Quick Explanation

Logged-in Users Only

You must be logged in to view the answer and check your solution. Signing up is free and takes less than a minute.

Detailed Editorial Solution

Detailed Editorial Solution is Premium

Unlock detailed step-by-step mathematical proofs, logic explanations, and company-specific interview preparation pathways.