Final answer:
The shortest path through which an ant can go from one end to the diagonally opposite side of a cube is along the longest diagonal of the cube, which is equal to the square root of three times the side length of the cube.
Step-by-step explanation:
The shortest path through which an ant can go from one end to the diagonally opposite side of a cube is along the longest diagonal of the cube. The longest diagonal connects the two opposite corners of the cube. This diagonal can be determined using the Pythagorean theorem by finding the length of one side of the cube.
Let's assume the side length of the cube is s. The length of the longest diagonal d is given by:
d = √(s^2 + s^2 + s^2) = √3s
So, the shortest path through which the ant can go from one end to the diagonally opposite side of the cube is √3s.
Learn more about Cube diagonal