Length of a Diagonal of 3D Figures
A 3D figure also has diagonals and the diagonal of the 3D figure such as Cube and Cuboid is calculated below in the article.
Formula for Diagonal of a Cube
A cube is a 3D figure with all three sides equal and is a 3D representation of the square. It has two types of diagonals in math,
- Face Diagonals
- Body Diagonals
And both of their lengths are calculated using different formulas as,
Suppose we have a cube of the side “a” then its face diagonal is calculated using the Pythagoras Theorem as
Length of Face Diagonal = √2(a) units
Also for body diagonals, we use Pythagoras’ theorem two times then the resultant formula for the length of the body diagonal is,
Length of Body Diagonal = √3(a) units
Formula for Diagonal of a Cuboid
A cuboid is a 3D figure with all three sides different and is a 3D representation of the rectangle. It has two types of diagonals,
- Face Diagonals
- Body Diagonals
And both of their lengths are calculated using different formulas as,
Suppose we have a cuboid of sides “a”, “b”, and “c” respectively, then its face diagonal along the face with dimensions as a and b is calculated using the Pythagoras Theorem as,
Length of Face Diagonal = √(a2 + b2) units
Also for body diagonals, we use Pythagoras’ theorem two times then the resultant formula for the length of the body diagonal is,
Length of Body Diagonal = √(a2 + b2 + c2) units
Read More,
Diagonals
Diagonal is a line segment that joins two non-adjacent corners of polygons or any other geometric shapes. Diagonals in math are defined only for lateral shapes, or the shapes that have corners, such as Squares, Rectangles, Pentagons, etc. but they are not defined for curved shapes such as Circles, and others. A diagonal can also be defined for 3-D shapes such as Cubes, Cuboids, etc.
Now let’s learn more about diagonal line, their properties, diagonals of various shapes, and other things about diagonals in detail in this article.
Table of Content
- What are Diagonals?
- Diagonal Shape
- Diagonal Formula
- Diagonals of Shapes
- Diagonals of Triangle
- Diagonals of Quadrilateral
- Diagonals of Square
- Diagonals of Rectangle
- Diagonals of Rhombus
- Diagonals of 3D Shapes
- Diagonals of Cube
- Diagonals of Cuboid
- Number of Diagonals in Polygons
- Length of Diagonal
- Length of a Diagonal of 3D Figures