Surface to Volume Ratio of Square Pillar given Space Diagonal Calculator

✖Space Diagonal of Square Pillar is a straight line connecting two vertices that are not on the same face of the Square Pillar.ⓘ Space Diagonal of Square Pillar [d_Space]			+10% -10%
✖Base Edges of Square Pillar are the sides of the same length that are joined to form the Square Pillar.ⓘ Base Edges of Square Pillar [B_Edges]			+10% -10%

✖Surface to Volume Ratio of Square Pillar is the fraction of the surface area to the volume of the Square pillar.ⓘ Surface to Volume Ratio of Square Pillar given Space Diagonal [R_A/V]

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Formula

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Surface to Volume Ratio of Square Pillar given Space Diagonal

Formula

`"R"_{"A/V"} = 2/sqrt("d"_{"Space"}^2-(2*"B"_{"Edges"}^2))+4/"B"_{"Edges"}`

Example

`"0.579605m⁻¹"=2/sqrt(("18m")^2-(2*("10m")^2))+4/"10m"`

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Surface to Volume Ratio of Square Pillar given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Square Pillar = 2/sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))+4/Base Edges of Square Pillar
R_A/V = 2/sqrt(d_Space^2-(2*B_Edges^2))+4/B_Edges
This formula uses 1 Functions, 3 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

Surface to Volume Ratio of Square Pillar - (Measured in 1 per Meter) - Surface to Volume Ratio of Square Pillar is the fraction of the surface area to the volume of the Square pillar.
Space Diagonal of Square Pillar - (Measured in Meter) - Space Diagonal of Square Pillar is a straight line connecting two vertices that are not on the same face of the Square Pillar.
Base Edges of Square Pillar - (Measured in Meter) - Base Edges of Square Pillar are the sides of the same length that are joined to form the Square Pillar.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Square Pillar: 18 Meter --> 18 Meter No Conversion Required
Base Edges of Square Pillar: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = 2/sqrt(d_Space^2-(2*B_Edges^2))+4/B_Edges --> 2/sqrt(18^2-(2*10^2))+4/10

Evaluating ... ...

R_A/V = 0.579605302026775

STEP 3: Convert Result to Output's Unit

0.579605302026775 1 per Meter --> No Conversion Required

FINAL ANSWER

0.579605302026775 ≈ 0.579605 1 per Meter <-- Surface to Volume Ratio of Square Pillar

(Calculation completed in 00.020 seconds)

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< 5 Surface to Volume Ratio of Square Pillar Calculators

Surface to Volume Ratio of Square Pillar given Lateral Surface Area

Go Surface to Volume Ratio of Square Pillar = (8*(Base Edges of Square Pillar^2+Lateral Surface Area of Square Pillar/2))/(Lateral Surface Area of Square Pillar*Base Edges of Square Pillar)

Surface to Volume Ratio of Square Pillar given Total Surface Area

Go Surface to Volume Ratio of Square Pillar = 2/((Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/(2*Base Edges of Square Pillar))+4/Base Edges of Square Pillar

Surface to Volume Ratio of Square Pillar given Space Diagonal

Go Surface to Volume Ratio of Square Pillar = 2/sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))+4/Base Edges of Square Pillar

Surface to Volume Ratio of Square Pillar given Volume

Go Surface to Volume Ratio of Square Pillar = 2/(Volume of Square Pillar/(Base Edges of Square Pillar^2))+4/Base Edges of Square Pillar

Surface to Volume Ratio of Square Pillar

Go Surface to Volume Ratio of Square Pillar = 2/Height of Square Pillar+4/Base Edges of Square Pillar

Surface to Volume Ratio of Square Pillar given Space Diagonal Formula

Surface to Volume Ratio of Square Pillar = 2/sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))+4/Base Edges of Square Pillar
R_A/V = 2/sqrt(d_Space^2-(2*B_Edges^2))+4/B_Edges

What is a Square Pillar?

A pillar is a large, typically cylindrical or square, solid structure that stands upright as support in a home or building, either structurally or aesthetically. A rectangular cuboidal pillar with two edges of the same length is a Square Pillar. Different types of Square pillar are, Romanesque, Fluted, Tapered, and Brick.

How to Calculate Surface to Volume Ratio of Square Pillar given Space Diagonal?

Surface to Volume Ratio of Square Pillar given Space Diagonal calculator uses Surface to Volume Ratio of Square Pillar = 2/sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))+4/Base Edges of Square Pillar to calculate the Surface to Volume Ratio of Square Pillar, The Surface to Volume Ratio of Square Pillar given Space Diagonal formula is defined as the fraction of surface area to the volume of Square Pillar, calculated using its space diagonal. Surface to Volume Ratio of Square Pillar is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Square Pillar given Space Diagonal using this online calculator? To use this online calculator for Surface to Volume Ratio of Square Pillar given Space Diagonal, enter Space Diagonal of Square Pillar (d_Space) & Base Edges of Square Pillar (B_Edges) and hit the calculate button. Here is how the Surface to Volume Ratio of Square Pillar given Space Diagonal calculation can be explained with given input values -> 0.579605 = 2/sqrt(18^2-(2*10^2))+4/10.

FAQ

What is Surface to Volume Ratio of Square Pillar given Space Diagonal?

The Surface to Volume Ratio of Square Pillar given Space Diagonal formula is defined as the fraction of surface area to the volume of Square Pillar, calculated using its space diagonal and is represented as R_A/V = 2/sqrt(d_Space^2-(2*B_Edges^2))+4/B_Edges or Surface to Volume Ratio of Square Pillar = 2/sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))+4/Base Edges of Square Pillar. Space Diagonal of Square Pillar is a straight line connecting two vertices that are not on the same face of the Square Pillar & Base Edges of Square Pillar are the sides of the same length that are joined to form the Square Pillar.

How to calculate Surface to Volume Ratio of Square Pillar given Space Diagonal?

The Surface to Volume Ratio of Square Pillar given Space Diagonal formula is defined as the fraction of surface area to the volume of Square Pillar, calculated using its space diagonal is calculated using Surface to Volume Ratio of Square Pillar = 2/sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))+4/Base Edges of Square Pillar. To calculate Surface to Volume Ratio of Square Pillar given Space Diagonal, you need Space Diagonal of Square Pillar (d_Space) & Base Edges of Square Pillar (B_Edges). With our tool, you need to enter the respective value for Space Diagonal of Square Pillar & Base Edges of Square Pillar 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 Surface to Volume Ratio of Square Pillar?

In this formula, Surface to Volume Ratio of Square Pillar uses Space Diagonal of Square Pillar & Base Edges of Square Pillar. We can use 4 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Square Pillar = 2/Height of Square Pillar+4/Base Edges of Square Pillar
Surface to Volume Ratio of Square Pillar = 2/((Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/(2*Base Edges of Square Pillar))+4/Base Edges of Square Pillar
Surface to Volume Ratio of Square Pillar = 2/(Volume of Square Pillar/(Base Edges of Square Pillar^2))+4/Base Edges of Square Pillar
Surface to Volume Ratio of Square Pillar = (8*(Base Edges of Square Pillar^2+Lateral Surface Area of Square Pillar/2))/(Lateral Surface Area of Square Pillar*Base Edges of Square Pillar)

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