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.

Question 2: Find the length of the body diagonal for a cuboid with dimensions: length = 12 m, width = 7 m, height = 10 m.

Question 3: Determine the length of the body diagonal for a cuboid with dimensions: length = 8 m, width = 6 m, height = 4 m.

Question 4: Find the length of the longest diagonal for a cuboid with dimensions: length = 12 ft, width = 16 ft, height = 9 ft.

Question 5: Calculate the length of the body diagonal for a cuboid with dimensions: length = 15 m, width = 11 m, height = 6 m.

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

Similar Reads

What is Cuboid?

Cuboid is a three-dimensional geometric shape characterized by six rectangular faces, where each face meets another at a right angle....

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:...

Diagonal of Cuboid and Cube

The key difference between diagonal of Cube and Cuboid are:...

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

What is Diagonal?...