Space Diagonal of a Rectangular Prism
Space Diagonal of a Rectangular Prism
\[d = \sqrt{l^2 + w^2 + h^2}\]
Variables
d = space diagonal of the prism (m)
l = length of the prism (m)
w = width of the prism (m)
h = height of the prism (m)
Description
What is this formula?
This formula calculates the space diagonal of a rectangular prism. The space diagonal is the longest straight-line distance between two opposite vertices inside the prism.
When to use it
Use this formula when determining internal distances in three-dimensional rectangular structures or objects.
Example
If a rectangular prism has:
length = 6 m
width = 4 m
height = 3 m
d = √(6² + 4² + 3²)
d = √61
d ≈ 7.81 m
Applications
- Geometry and mathematics
- Engineering and construction
- 3D modeling and computer graphics
- Structural analysis
- Spatial measurements
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