# 3D Distance Calculator

Insert the given values and click on the calculate button to get the distance between the given points.

Formula:
d = ( x2 - x1 )2 + ( y2 - y1 )2 + ( z2 - z1 )2

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## 3D Distance Calculator

Three dimentional distance calculator is used to find the distance of 3-D shapes with steps

## What is 3D Distance?

The length of the line segment between any two locations serves as their distance. The distance between two locations in coordinate geometry can be measured by measuring the length of the line segment connecting them.

### Formula of 3D distance

d = √ (x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2

## How to calculate 3D distance?

### Example 1:

Determine the distance between these points

d =?

x1 = 3

y1 = 4

z1 = 5

x2 = 7

y2 = 8

z2 = 2

Solution

Formula:

d = √ (x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2

Replace them with their given values

d = √ (7 - 3)2 + (8 - 4)2 + (2 - 5)2

d = √ (4 )2 + (4 )2 + ( -3 )2

d = √ (16) + (16) + (9)

d = √ 41

Now taking the square root to evaluate the distance

d = 6.4031

### Example 2:

Determine the distance between these points

d =? x1 = 2, y1 = 6, z1 = 2, x2 = 4, y2 = 8, z2 = 4

Solution

Formula:

d = √ (x2 - x1 )2 + (y2 - y1 )2 + (z2 - z1 )2

Replace them with their given values

d = √ (4 - 2)2 + (8 - 6)2 + (4 - 2)2

d = √ (2)2 + (2)2 + (2)2

d = √ 4+4+4

d = √ 12

Now taking the square root to evaluate the distance

d = 3.4641