Perimeter of Cuboid given Surface to Volume Ratio, Height and Width Calculator

✖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%
✖The Surface to Volume Ratio of Cuboid is the numerical ratio of the total surface area of a Cuboid to the volume of the Cuboid.ⓘ Surface to Volume Ratio of Cuboid [R_A/V]			+10% -10%

✖Perimeter of Cuboid is the total distance around all the edges of the Cuboid.ⓘ Perimeter of Cuboid given Surface to Volume Ratio, Height and Width [P]

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Perimeter of Cuboid given Surface to Volume Ratio, Height and Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P = 4*((w*h)/((R_A/V*w*h)/2-(w+h))+h+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.
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.
Surface to Volume Ratio of Cuboid - (Measured in 1 per Meter) - The Surface to Volume Ratio of Cuboid is the numerical ratio of the total surface area of a Cuboid to the volume of the Cuboid.

STEP 1: Convert Input(s) to Base Unit

Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required
Height of Cuboid: 8 Meter --> 8 Meter No Conversion Required
Surface to Volume Ratio of Cuboid: 0.8 1 per Meter --> 0.8 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 4*((w*h)/((R_A/V*w*h)/2-(w+h))+h+w) --> 4*((6*8)/((0.8*6*8)/2-(6+8))+8+6)

Evaluating ... ...

P = 92.9230769230769

STEP 3: Convert Result to Output's Unit

92.9230769230769 Meter --> No Conversion Required

FINAL ANSWER

92.9230769230769 ≈ 92.92308 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 Surface to Volume Ratio, Height and Width Formula

LaTeX Go

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 Surface to Volume Ratio, Height and Width?

Perimeter of Cuboid given Surface to Volume Ratio, Height and Width calculator uses 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) to calculate the Perimeter of Cuboid, The Perimeter of Cuboid given Surface to Volume Ratio, Height and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the surface to volume ratio, height, and width of the Cuboid. Perimeter of Cuboid is denoted by P symbol.

How to calculate Perimeter of Cuboid given Surface to Volume Ratio, Height and Width using this online calculator? To use this online calculator for Perimeter of Cuboid given Surface to Volume Ratio, Height and Width, enter Width of Cuboid (w), Height of Cuboid (h) & Surface to Volume Ratio of Cuboid (R_A/V) and hit the calculate button. Here is how the Perimeter of Cuboid given Surface to Volume Ratio, Height and Width calculation can be explained with given input values -> 92.92308 = 4*((6*8)/((0.8*6*8)/2-(6+8))+8+6).

FAQ

What is Perimeter of Cuboid given Surface to Volume Ratio, Height and Width?

The Perimeter of Cuboid given Surface to Volume Ratio, Height and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the surface to volume ratio, height, and width of the Cuboid and is represented as P = 4*((w*h)/((R_A/V*w*h)/2-(w+h))+h+w) or 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). 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 & The Surface to Volume Ratio of Cuboid is the numerical ratio of the total surface area of a Cuboid to the volume of the Cuboid.

How to calculate Perimeter of Cuboid given Surface to Volume Ratio, Height and Width?

The Perimeter of Cuboid given Surface to Volume Ratio, Height and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the surface to volume ratio, height, and width of the Cuboid is calculated using 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). To calculate Perimeter of Cuboid given Surface to Volume Ratio, Height and Width, you need Width of Cuboid (w), Height of Cuboid (h) & Surface to Volume Ratio of Cuboid (R_A/V). With our tool, you need to enter the respective value for Width of Cuboid, Height of Cuboid & Surface to Volume Ratio 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 Width of Cuboid, Height of Cuboid & Surface to Volume Ratio 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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