Cuboid Space Diagonal Length Calculator

(length)


units

(breadth)


units

(height)


units

units
View Calculation
Cuboid Space Diagonal Length

How to use this Cuboid Space Diagonal Length Calculator 🤔

  1. Enter ✎ value for length (l).
  2. Enter ✎ value for breadth (b).
  3. Enter ✎ value for height (h).
  4. As soon as you enter the required input value(s), the Cuboid Space Diagonal Length is calculated immediately, and displaed in the output section (present under input section).

Formula

To calculate the cuboid space diagonal length, you can use the following formula.

\(d = \) \( \sqrt{l^2 + b^2 + h^2} \)

where

Cuboid Space Diagonal Length

Calculation

Once you enter the input values in the calculator, the output parameters are calculated.

Examples

The following examples cover how to calcualte the Space Diagonal Length when length, breadth, and height are given.

1. What is the Space Diagonal Length of Cuboid whose length is 20 units, breadth is 10 units, and height is 15 units?

Answer

Given:

  • length, l = 20 units
  • breadth, b = 10 units
  • height, h = 15 units

The formula to find the Space Diagonal Length of a Cuboid is:

d = \( \sqrt{l^2 + b^2 + h^2} \)

Substitute given values in the above formula.

d = \( \sqrt{20^2 +10^2 +15^2 } \)

d = 26.93 units

∴ Space Diagonal Length, d = 26.93 units

2. What is the Space Diagonal Length of Cuboid whose length is 1 units, breadth is 0.5 units, and height is 0.5 units?

Answer

Given:

  • length, l = 1 units
  • breadth, b = 0.5 units
  • height, h = 0.5 units

The formula to find the Space Diagonal Length of a Cuboid is:

d = \( \sqrt{l^2 + b^2 + h^2} \)

Substitute given values in the above formula.

d = \( \sqrt{1^2 +0.5^2 +0.5^2 } \)

d = 1.22 units

∴ Space Diagonal Length, d = 1.22 units