How to Find the Length of Diagonal of Cuboid?
To calculate the length of diagonal of cuboid we can use the following steps:
Step 1: Identify the three edges of Cuboid i.e., l, b, and h.
Step 2: For Body diagonal, use D2 = l2+ b2 + h2 and for face diagonal, use D2 = l2 + b2 to calculate the length.
Let’s consider an example for the same.
Example: Find the length of body diagonal of cuboid with dimensions 6 cm × 8 cm × 10 cm.
Solution:
Given: l = 6cm, b = 8 cm and h = 10 cm.
Length of Body Diagonal = √(l2+ b2 + h2 )
⇒ Length of Body Diagonal = √(62+ 82 + 102 )
⇒ Length of Body Diagonal = √(36+ 64 + 100)
⇒ Length of Body Diagonal = √(200)
⇒ Length of Body Diagonal = 14.142 . .
Thus, length of Body diagonal is 14.14 cm.
Diagonal of Cuboid
Diagonal of a Cuboid is a line segment that joins two opposite vertices of the cuboid. It can pass through either the body or the face of the diagonal of the cuboid. Cuboid, in 3D, is an elongated version of a cube, i.e., a box-like shape with three different sides.
The length of the diagonal of a cuboid can be calculated using the Pythagorean theorem. In this article, we will discuss the diagonal of a cuboid, including its types, formula, and some solved examples for the same.
Table of Content
- What is Cuboid?
- Diagonal of Cuboid Definition
- Types of Diagonal of Cuboid
- Diagonal of Cuboid Formula
- How to Find the Length of Diagonal of Cuboid?
- Diagonal of Cuboid and Cube