3D Distance Calculator
Find the Euclidean distance between two points in three-dimensional space.
This tool is for informational and educational purposes only. It is not a substitute for professional financial, medical, legal, or engineering advice. See Terms of Service.
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Request a ToolHow to Use the 3D Distance Calculator
This tool calculates the straight-line (Euclidean) distance between two points in three-dimensional space.
- Enter Point 1. Provide the x1, y1, and z1 coordinates.
- Enter Point 2. Provide the x2, y2, and z2 coordinates.
- View the result. The distance updates automatically as you type.
About the 3D Distance Formula
The distance between two points (x1, y1, z1) and (x2, y2, z2) in 3D space is calculated using the formula: d = sqrt((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2). This is the natural extension of the Pythagorean theorem into three dimensions. It is widely used in physics, computer graphics, engineering, and navigation.
Frequently Asked Questions
What is the 3D distance formula?
The 3D distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2). It finds the straight-line distance between two points in space.
How is 3D distance different from 2D distance?
The 3D formula adds a z-component. In 2D you only use x and y differences, while in 3D you include the z difference as well.
Can the distance ever be negative?
No. Distance is always zero or positive because it is the square root of a sum of squared values.