Perimeter of Cuboid given Total Surface Area, Length, and Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+(Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid))
P = 4*(l+w+(TSA/2-(l*w))/(l+w))
This formula uses 4 Variables
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.
Total Surface Area of Cuboid - (Measured in Square Meter) - Total Surface Area of Cuboid is the quantity of plane enclosed by the entire surface 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
Total Surface Area of Cuboid: 450 Square Meter --> 450 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 4*(l+w+(TSA/2-(l*w))/(l+w)) --> 4*(12+6+(450/2-(12*6))/(12+6))
Evaluating ... ...
P = 106
STEP 3: Convert Result to Output's Unit
106 Meter --> No Conversion Required
FINAL ANSWER
106 Meter <-- Perimeter of Cuboid
(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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The National Institute of Engineering (NIE), Mysuru
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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 Total Surface Area, Length, and Width Formula

​LaTeX ​Go
Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+(Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid))
P = 4*(l+w+(TSA/2-(l*w))/(l+w))

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 Total Surface Area, Length, and Width?

Perimeter of Cuboid given Total Surface Area, Length, and Width calculator uses Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+(Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)) to calculate the Perimeter of Cuboid, The Perimeter of Cuboid given Total Surface Area, Length, and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the total surface area, length, and width of the Cuboid. Perimeter of Cuboid is denoted by P symbol.

How to calculate Perimeter of Cuboid given Total Surface Area, Length, and Width using this online calculator? To use this online calculator for Perimeter of Cuboid given Total Surface Area, Length, and Width, enter Length of Cuboid (l), Width of Cuboid (w) & Total Surface Area of Cuboid (TSA) and hit the calculate button. Here is how the Perimeter of Cuboid given Total Surface Area, Length, and Width calculation can be explained with given input values -> 106 = 4*(12+6+(450/2-(12*6))/(12+6)).

FAQ

What is Perimeter of Cuboid given Total Surface Area, Length, and Width?
The Perimeter of Cuboid given Total Surface Area, Length, and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the total surface area, length, and width of the Cuboid and is represented as P = 4*(l+w+(TSA/2-(l*w))/(l+w)) or Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+(Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width 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 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 & Total Surface Area of Cuboid is the quantity of plane enclosed by the entire surface of the Cuboid.
How to calculate Perimeter of Cuboid given Total Surface Area, Length, and Width?
The Perimeter of Cuboid given Total Surface Area, Length, and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the total surface area, length, and width of the Cuboid is calculated using Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+(Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)). To calculate Perimeter of Cuboid given Total Surface Area, Length, and Width, you need Length of Cuboid (l), Width of Cuboid (w) & Total Surface Area of Cuboid (TSA). With our tool, you need to enter the respective value for Length of Cuboid, Width of Cuboid & Total Surface Area 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 & Total Surface Area 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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