Diagonal of Cuboid

What is Diagonal?

A diagonal in mathematics refers to a line segment connecting two non-adjacent vertices of a polygon.

How many Diagonals are there in Cuboid?

There are total of 4 body diagonals and 12 face diagonals of cuboid.

What is the Formula for Diagonal of Cube?

The formula is d = √(l2+ b2+ h2), where l = length, b= breadth or width and h = height of the cuboid.

How to Derive the Formula for Diagonal of Cuboid?

The diagonal of a cuboid can be found using the Pythagorean theorem.

Can the Diagonal be longer than any side of the Cuboid?

Yes, it’s possible. The diagonal is a measure of the space diagonal within the cuboid, and it may be longer than any individual side.



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

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What is Cuboid?

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Diagonal of Cuboid Definition

Diagonal of a cuboid is a line segment connecting two opposite corners or vertices of the cuboid....

Types of Diagonal of Cuboid

In a cuboid, which is a three-dimensional geometric shape with six rectangular faces, the diagonals can be classified into two types:...

Diagonal of Cuboid Formula

The formula to calculate the diagonal (d) of a cuboid is given by the Pythagoras theorem:...

How to Find the Length of Diagonal of Cuboid?

To calculate the length of diagonal of cuboid we can use the following steps:...

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Conclusion

In conclusion, the diagonal of a cuboid is the longest length inside the cuboid, which can be calculated using the Pythagorean theorem in the right-angled triangles formed inside the cuboid. In this article, we have discussed the formula as well as the derivation for the cuboid’s diagonal....

Solved Problems:

Problem 1: Given a cuboid with length l = 4, breadth b = 3 and height h = 5 , find the diagonal d....

Practice Questions: Diagonal of Cuboid

Question 1: Calculate the length of the face diagonal for a cuboid with dimensions: length = 9 cm, width = 5 cm....

FAQs on Diagonal of Cuboid

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