How to use this Cuboid Space Diagonal Length Calculator 🤔
Enter ✎ value for length (l).
Enter ✎ value for breadth (b).
Enter ✎ value for height (h).
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
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:
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"formula_mathjax": "\\( \\sqrt{l^2 + b^2 + h^2} \\)",
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"description": "The Cuboid Space Diagonal calculator calculates the length of space diagonal of a cube by taking its length, breadth, and height as inputs.",
"explanation": "The length of space diagonal of a cuboid is the distance between the extreme corners of the cuboid.",
"examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Space Diagonal Length when length, breadth, and height are given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Space Diagonal Length of Cuboid whose length is 20 units, breadth is 10 units, and height is 15 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length, l = 20 units<li>breadth, b = 10 units<li>height, h = 15 units</ul><p>The formula to find the Space Diagonal Length of a Cuboid is:</p><p class=\"tabspace\">d = \\( \\sqrt{l^2 + b^2 + h^2} \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">d = \\( \\sqrt{20^2 +10^2 +15^2 } \\)</p><p class=\"tabspace\">d = 26.93 units</p><p class=\"tabspace answer\">∴ Space Diagonal Length, d = 26.93 units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Space Diagonal Length of Cuboid whose length is 1 units, breadth is 0.5 units, and height is 0.5 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length, l = 1 units<li>breadth, b = 0.5 units<li>height, h = 0.5 units</ul><p>The formula to find the Space Diagonal Length of a Cuboid is:</p><p class=\"tabspace\">d = \\( \\sqrt{l^2 + b^2 + h^2} \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">d = \\( \\sqrt{1^2 +0.5^2 +0.5^2 } \\)</p><p class=\"tabspace\">d = 1.22 units</p><p class=\"tabspace answer\">∴ Space Diagonal Length, d = 1.22 units</p></div>",
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