Question

The equation for the longest line segment within a cube is:

A) s * √2
B) s * √3
C) s * 2
D) s / 2

Answer 1

Option (B), The equation for the longest line segment within a cube is d = √(3s²).

Step-by-step explanation:

The longest line segment within a cube is the diagonal that connects opposite vertices of the cube. We can find the length of this diagonal using the Pythagorean theorem. Let's say the side length of the cube is s.

Then, using the Pythagorean theorem, the length of the diagonal (d) is given by:

d = √(s² + s² + s²) = √(3s²)

Therefore, the equation for the longest line segment within a cube is d = √(3s²). So, the correct option is B) s * √3