Perimeter of Cuboid given Space Diagonal, Height, and Width Calculator

✖The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.ⓘ Space Diagonal of Cuboid [d_Space]			+10% -10%
✖The Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid.ⓘ Width of Cuboid [w]			+10% -10%
✖The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.ⓘ Height of Cuboid [h]			+10% -10%

✖Perimeter of Cuboid is the total distance around all the edges of the Cuboid.ⓘ Perimeter of Cuboid given Space Diagonal, Height, and Width [P]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cuboid Formula PDF PDF Image

Perimeter of Cuboid given Space Diagonal, Height, and Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Cuboid = 4*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid+Height of Cuboid)
P = 4*(sqrt(d_Space^2-w^2-h^2)+w+h)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Perimeter of Cuboid - (Measured in Meter) - Perimeter of Cuboid is the total distance around all the edges of the Cuboid.
Space Diagonal of Cuboid - (Measured in Meter) - The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.
Width of Cuboid - (Measured in Meter) - The Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid.
Height of Cuboid - (Measured in Meter) - The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Cuboid: 16 Meter --> 16 Meter No Conversion Required
Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required
Height of Cuboid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 4*(sqrt(d_Space^2-w^2-h^2)+w+h) --> 4*(sqrt(16^2-6^2-8^2)+6+8)

Evaluating ... ...

P = 105.959983987187

STEP 3: Convert Result to Output's Unit

105.959983987187 Meter --> No Conversion Required

FINAL ANSWER

105.959983987187 ≈ 105.96 Meter <-- Perimeter of Cuboid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cuboid » Cuboid » Perimeter of Cuboid » Perimeter of Cuboid given Space Diagonal, Height, and Width

Credits

Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has verified this Calculator and 600+ more calculators!

< Perimeter of Cuboid Calculators

Perimeter of Cuboid given Total Surface Area, Height, and Width

LaTeX Go Perimeter of Cuboid = 4*((Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)+Width of Cuboid+Height of Cuboid)

Perimeter of Cuboid given Space Diagonal, Height, and Length

LaTeX Go Perimeter of Cuboid = 4*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)+Height of Cuboid)

Perimeter of Cuboid given Space Diagonal, Height, and Width

LaTeX Go Perimeter of Cuboid = 4*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid+Height of Cuboid)

Perimeter of Cuboid

LaTeX Go Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+Height of Cuboid)

Perimeter of Cuboid given Space Diagonal, Height, and Width Formula

LaTeX Go

Perimeter of Cuboid = 4*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid+Height of Cuboid)
P = 4*(sqrt(d_Space^2-w^2-h^2)+w+h)

What is a Cuboid?

In geometry, a Cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube. While mathematical literature refers to any such polyhedron as a cuboid, other sources use "cuboid" to refer to a shape of this type in which each of the faces is a rectangle (and so each pair of adjacent faces meets in a right angle); this more restrictive type of cuboid is also known as a rectangular cuboid, right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.

How to Calculate Perimeter of Cuboid given Space Diagonal, Height, and Width?

Perimeter of Cuboid given Space Diagonal, Height, and Width calculator uses Perimeter of Cuboid = 4*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid+Height of Cuboid) to calculate the Perimeter of Cuboid, The Perimeter of Cuboid given Space Diagonal, Height, and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the space diagonal, height, and width of the Cuboid. Perimeter of Cuboid is denoted by P symbol.

How to calculate Perimeter of Cuboid given Space Diagonal, Height, and Width using this online calculator? To use this online calculator for Perimeter of Cuboid given Space Diagonal, Height, and Width, enter Space Diagonal of Cuboid (d_Space), Width of Cuboid (w) & Height of Cuboid (h) and hit the calculate button. Here is how the Perimeter of Cuboid given Space Diagonal, Height, and Width calculation can be explained with given input values -> 105.96 = 4*(sqrt(16^2-6^2-8^2)+6+8).

FAQ

What is Perimeter of Cuboid given Space Diagonal, Height, and Width?

The Perimeter of Cuboid given Space Diagonal, Height, and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the space diagonal, height, and width of the Cuboid and is represented as P = 4*(sqrt(d_Space^2-w^2-h^2)+w+h) or Perimeter of Cuboid = 4*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid+Height of Cuboid). The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid, The Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid & The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.

How to calculate Perimeter of Cuboid given Space Diagonal, Height, and Width?

The Perimeter of Cuboid given Space Diagonal, Height, and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the space diagonal, height, and width of the Cuboid is calculated using Perimeter of Cuboid = 4*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid+Height of Cuboid). To calculate Perimeter of Cuboid given Space Diagonal, Height, and Width, you need Space Diagonal of Cuboid (d_Space), Width of Cuboid (w) & Height of Cuboid (h). With our tool, you need to enter the respective value for Space Diagonal of Cuboid, Width of Cuboid & Height of Cuboid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Perimeter of Cuboid?

In this formula, Perimeter of Cuboid uses Space Diagonal of Cuboid, Width of Cuboid & Height of Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+Height of Cuboid)
Perimeter of Cuboid = 4*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)+Height of Cuboid)
Perimeter of Cuboid = 4*((Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)+Width of Cuboid+Height of Cuboid)

Home

FREE PDFs

🔍 Search