Perimeter of Cuboid given Volume, Length and Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Cuboid = 4*(Length of Cuboid+Volume of Cuboid/(Length of Cuboid*Width of Cuboid)+Width of Cuboid)
P = 4*(l+V/(l*w)+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.
Volume of Cuboid - (Measured in Cubic Meter) - Volume of Cuboid is the total quantity of three dimensional space enclosed by the surface of a 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.
STEP 1: Convert Input(s) to Base Unit
Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Volume of Cuboid: 600 Cubic Meter --> 600 Cubic Meter No Conversion Required
Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 4*(l+V/(l*w)+w) --> 4*(12+600/(12*6)+6)
Evaluating ... ...
P = 105.333333333333
STEP 3: Convert Result to Output's Unit
105.333333333333 Meter --> No Conversion Required
FINAL ANSWER
105.333333333333 105.3333 Meter <-- Perimeter of Cuboid
(Calculation completed in 00.020 seconds)

Credits

Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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15 Perimeter of Cuboid Calculators

Perimeter of Cuboid given Surface to Volume Ratio, Height and Length
Go Perimeter of Cuboid = 4*(Length of Cuboid+Height of Cuboid+(Length of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Length of Cuboid*Height of Cuboid)/2-(Length of Cuboid+Height of Cuboid)))
Perimeter of Cuboid given Surface to Volume Ratio, Height and Width
Go Perimeter of Cuboid = 4*((Width of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Height of Cuboid)/2-(Width of Cuboid+Height of Cuboid))+Height of Cuboid+Width of Cuboid)
Perimeter of Cuboid given Surface to Volume Ratio, Length and Width
Go Perimeter of Cuboid = 4*(Length of Cuboid+(Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid))+Width of Cuboid)
Perimeter of Cuboid given Total Surface Area, Height, and Length
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 Total Surface Area, Height, and Width
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 Total Surface Area, Length, and Width
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))
Perimeter of Cuboid given Space Diagonal, Height, and Length
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
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 given Space Diagonal, Length, and Width
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 Lateral Surface Area, Length, and Width
Go Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)))
Perimeter of Cuboid given Volume, Height and Length
Go Perimeter of Cuboid = 4*(Length of Cuboid+Height of Cuboid+Volume of Cuboid/(Length of Cuboid*Height of Cuboid))
Perimeter of Cuboid given Volume, Height and Width
Go Perimeter of Cuboid = 4*(Volume of Cuboid/(Width of Cuboid*Height of Cuboid)+Height of Cuboid+Width of Cuboid)
Perimeter of Cuboid given Volume, Length and Width
Go Perimeter of Cuboid = 4*(Length of Cuboid+Volume of Cuboid/(Length of Cuboid*Width of Cuboid)+Width of Cuboid)
Perimeter of Cuboid given Lateral Surface Area and Height
Go Perimeter of Cuboid = 4*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)+Height of Cuboid)
Perimeter of Cuboid
Go Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+Height of Cuboid)

Perimeter of Cuboid given Volume, Length and Width Formula

Perimeter of Cuboid = 4*(Length of Cuboid+Volume of Cuboid/(Length of Cuboid*Width of Cuboid)+Width of Cuboid)
P = 4*(l+V/(l*w)+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 Volume, Length and Width?

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

How to calculate Perimeter of Cuboid given Volume, Length and Width using this online calculator? To use this online calculator for Perimeter of Cuboid given Volume, Length and Width, enter Length of Cuboid (l), Volume of Cuboid (V) & Width of Cuboid (w) and hit the calculate button. Here is how the Perimeter of Cuboid given Volume, Length and Width calculation can be explained with given input values -> 105.3333 = 4*(12+600/(12*6)+6).

FAQ

What is Perimeter of Cuboid given Volume, Length and Width?
The Perimeter of Cuboid given Volume, Length and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the volume, length, and width of the Cuboid and is represented as P = 4*(l+V/(l*w)+w) or Perimeter of Cuboid = 4*(Length of Cuboid+Volume of Cuboid/(Length of Cuboid*Width 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, Volume of Cuboid is the total quantity of three dimensional space enclosed by the surface of a 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.
How to calculate Perimeter of Cuboid given Volume, Length and Width?
The Perimeter of Cuboid given Volume, Length and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the volume, length, and width of the Cuboid is calculated using Perimeter of Cuboid = 4*(Length of Cuboid+Volume of Cuboid/(Length of Cuboid*Width of Cuboid)+Width of Cuboid). To calculate Perimeter of Cuboid given Volume, Length and Width, you need Length of Cuboid (l), Volume of Cuboid (V) & Width of Cuboid (w). With our tool, you need to enter the respective value for Length of Cuboid, Volume of Cuboid & Width 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, Volume of Cuboid & Width of Cuboid. We can use 14 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)
  • 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 = 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 = 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))
  • Perimeter of Cuboid = 4*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)+Height of Cuboid)
  • Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)))
  • 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 = 4*(Volume of Cuboid/(Width of Cuboid*Height of Cuboid)+Height of Cuboid+Width of Cuboid)
  • Perimeter of Cuboid = 4*(Length of Cuboid+Height of Cuboid+Volume of Cuboid/(Length of Cuboid*Height of Cuboid))
  • Perimeter of Cuboid = 4*((Width of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Height of Cuboid)/2-(Width of Cuboid+Height of Cuboid))+Height of Cuboid+Width of Cuboid)
  • Perimeter of Cuboid = 4*(Length of Cuboid+Height of Cuboid+(Length of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Length of Cuboid*Height of Cuboid)/2-(Length of Cuboid+Height of Cuboid)))
  • Perimeter of Cuboid = 4*(Length of Cuboid+(Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid))+Width of Cuboid)
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