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

✖The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid.ⓘ Length of Cuboid [l]			+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 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%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2))
P = 4*(l+w+sqrt(d_Space^2-l^2-w^2))
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.
Length of Cuboid - (Measured in Meter) - The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges 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.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required
Space Diagonal of Cuboid: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 4*(l+w+sqrt(d_Space^2-l^2-w^2)) --> 4*(12+6+sqrt(16^2-12^2-6^2))

Evaluating ... ...

P = 106.871191548325

STEP 3: Convert Result to Output's Unit

106.871191548325 Meter --> No Conversion Required

FINAL ANSWER

106.871191548325 ≈ 106.8712 Meter <-- Perimeter of Cuboid

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

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

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< 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 Calculators

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

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

Perimeter of Cuboid given Space Diagonal, Length, and Width

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

Perimeter of Cuboid given Volume, Height and Width

LaTeX Go Perimeter of Cuboid = 4*(Volume of Cuboid/(Width of Cuboid*Height of Cuboid)+Height of Cuboid+Width 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, Length, and Width Formula

LaTeX Go

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

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, Length, and Width?

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

How to calculate Perimeter of Cuboid given Space Diagonal, Length, and Width using this online calculator? To use this online calculator for Perimeter of Cuboid given Space Diagonal, Length, and Width, enter Length of Cuboid (l), Width of Cuboid (w) & Space Diagonal of Cuboid (d_Space) and hit the calculate button. Here is how the Perimeter of Cuboid given Space Diagonal, Length, and Width calculation can be explained with given input values -> 106.8712 = 4*(12+6+sqrt(16^2-12^2-6^2)).

FAQ

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

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

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

The Perimeter of Cuboid given Space Diagonal, Length, and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the space diagonal, length, and width of the Cuboid is calculated using Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)). To calculate Perimeter of Cuboid given Space Diagonal, Length, and Width, you need Length of Cuboid (l), Width of Cuboid (w) & Space Diagonal of Cuboid (d_Space). With our tool, you need to enter the respective value for Length of Cuboid, Width of Cuboid & Space Diagonal 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 Length of Cuboid, Width of Cuboid & Space Diagonal 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*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+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)

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