Length of Cuboid given Surface to Volume Ratio 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%

✖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 given Surface to Volume Ratio [l]

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Length of Cuboid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cuboid = (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))
l = (w*h)/((R_A/V*w*h)/2-(w+h))
This formula uses 4 Variables

Variables Used

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.
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

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

Evaluating ... ...

l = 9.23076923076923

STEP 3: Convert Result to Output's Unit

9.23076923076923 Meter --> No Conversion Required

FINAL ANSWER

9.23076923076923 ≈ 9.230769 Meter <-- Length 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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< Length of Cuboid Calculators

Length of Cuboid given Total Surface Area

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

Length of Cuboid given Space Diagonal

LaTeX Go Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)

Length of Cuboid given Lateral Surface Area

LaTeX Go Length of Cuboid = Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid

Length of Cuboid given Volume

LaTeX Go Length of Cuboid = Volume of Cuboid/(Width of Cuboid*Height of Cuboid)

Length of Cuboid given Surface to Volume Ratio Formula

LaTeX Go

Length of Cuboid = (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))
l = (w*h)/((R_A/V*w*h)/2-(w+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 Length of Cuboid given Surface to Volume Ratio?

Length of Cuboid given Surface to Volume Ratio calculator uses Length of Cuboid = (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)) to calculate the Length of Cuboid, The Length of Cuboid given Surface to Volume Ratio formula is defined as 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 and calculated using the surface to volume ratio of the Cuboid. Length of Cuboid is denoted by l symbol.

How to calculate Length of Cuboid given Surface to Volume Ratio using this online calculator? To use this online calculator for Length of Cuboid given Surface to Volume Ratio, 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 Length of Cuboid given Surface to Volume Ratio calculation can be explained with given input values -> 9.230769 = (6*8)/((0.8*6*8)/2-(6+8)).

FAQ

What is Length of Cuboid given Surface to Volume Ratio?

The Length of Cuboid given Surface to Volume Ratio formula is defined as 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 and calculated using the surface to volume ratio of the Cuboid and is represented as l = (w*h)/((R_A/V*w*h)/2-(w+h)) or Length of Cuboid = (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)). 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 Length of Cuboid given Surface to Volume Ratio?

The Length of Cuboid given Surface to Volume Ratio formula is defined as 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 and calculated using the surface to volume ratio of the Cuboid is calculated using Length of Cuboid = (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)). To calculate Length of Cuboid given Surface to Volume Ratio, 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 Length of Cuboid?

In this formula, Length 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 -

Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)
Length of Cuboid = Volume of Cuboid/(Width of Cuboid*Height of Cuboid)
Length of Cuboid = Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid

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