Perimeter of Cuboid given Space Diagonal, Height, and Length 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 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 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 Length [P]

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

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Cuboid = 4*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)+Height of Cuboid)
P = 4*(l+sqrt(d_Space^2-l^2-h^2)+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.
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.
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.
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

Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Space Diagonal of Cuboid: 16 Meter --> 16 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*(l+sqrt(d_Space^2-l^2-h^2)+h) --> 4*(12+sqrt(16^2-12^2-8^2)+8)

Evaluating ... ...

P = 107.712812921102

STEP 3: Convert Result to Output's Unit

107.712812921102 Meter --> No Conversion Required

FINAL ANSWER

107.712812921102 ≈ 107.7128 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 given Space Diagonal, Height, and Length Formula

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)
P = 4*(l+sqrt(d_Space^2-l^2-h^2)+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 Length?

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

How to calculate Perimeter of Cuboid given Space Diagonal, Height, and Length using this online calculator? To use this online calculator for Perimeter of Cuboid given Space Diagonal, Height, and Length, enter Length of Cuboid (l), Space Diagonal of Cuboid (d_Space) & Height of Cuboid (h) and hit the calculate button. Here is how the Perimeter of Cuboid given Space Diagonal, Height, and Length calculation can be explained with given input values -> 107.7128 = 4*(12+sqrt(16^2-12^2-8^2)+8).

FAQ

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

The Perimeter of Cuboid given Space Diagonal, Height, and Length formula is defined as the total distance around the edge of the Cuboid, and is calculated using the space diagonal, length, and height of the Cuboid and is represented as P = 4*(l+sqrt(d_Space^2-l^2-h^2)+h) or Perimeter of Cuboid = 4*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)+Height of Cuboid). 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 Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the 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 Length?

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

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