Surface to Volume Ratio of Half Tetrahedron Calculator

✖Tetrahedral Edge of Half Tetrahedron is defined as the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron.ⓘ Tetrahedral Edge of Half Tetrahedron [l_{e(Tetrahedral)}]

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✖Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.ⓘ Surface to Volume Ratio of Half Tetrahedron [R_A/V]

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Formula

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Surface to Volume Ratio of Half Tetrahedron

Formula

`"R"_{"A/V"} = (sqrt(3)/2+1/4)/("l"_{"e(Tetrahedral)"}/24*sqrt(2))`

Example

`"1.893958m⁻¹"=(sqrt(3)/2+1/4)/("10m"/24*sqrt(2))`

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Surface to Volume Ratio of Half Tetrahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(Tetrahedral Edge of Half Tetrahedron/24*sqrt(2))
R_A/V = (sqrt(3)/2+1/4)/(l_{e(Tetrahedral)}/24*sqrt(2))
This formula uses 1 Functions, 2 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 Half Tetrahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.
Tetrahedral Edge of Half Tetrahedron - (Measured in Meter) - Tetrahedral Edge of Half Tetrahedron is defined as the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Tetrahedral Edge of Half Tetrahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (sqrt(3)/2+1/4)/(l_{e(Tetrahedral)}/24*sqrt(2)) --> (sqrt(3)/2+1/4)/(10/24*sqrt(2))

Evaluating ... ...

R_A/V = 1.89395791438184

STEP 3: Convert Result to Output's Unit

1.89395791438184 1 per Meter --> No Conversion Required

FINAL ANSWER

1.89395791438184 ≈ 1.893958 1 per Meter <-- Surface to Volume Ratio of Half Tetrahedron

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 5 Surface to Volume Ratio of Half Tetrahedron Calculators

Surface to Volume Ratio of Half Tetrahedron given Total Surface Area

Go Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))/24*sqrt(2))

Surface to Volume Ratio of Half Tetrahedron given Volume

Go Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/24*sqrt(2))

Surface to Volume Ratio of Half Tetrahedron

Go Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(Tetrahedral Edge of Half Tetrahedron/24*sqrt(2))

Surface to Volume Ratio of Half Tetrahedron given Half Edges

Go Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(Half Edge of Half Tetrahedron/12*sqrt(2))

Surface to Volume Ratio of Half Tetrahedron given Height

Go Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(Height of Half Tetrahedron/12*sqrt(3))

Surface to Volume Ratio of Half Tetrahedron Formula

Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(Tetrahedral Edge of Half Tetrahedron/24*sqrt(2))
R_A/V = (sqrt(3)/2+1/4)/(l_{e(Tetrahedral)}/24*sqrt(2))

What is a Half Tetrahedron?

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces. A regular tetrahedron which is cut into half, so that a long wedge with a square base is formed. One edge a of the tetrahedron remains, the other eight edges b have half the length

How to Calculate Surface to Volume Ratio of Half Tetrahedron?

Surface to Volume Ratio of Half Tetrahedron calculator uses Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(Tetrahedral Edge of Half Tetrahedron/24*sqrt(2)) to calculate the Surface to Volume Ratio of Half Tetrahedron, Surface to Volume Ratio of Half Tetrahedron formula is defined as the fraction of surface area to the volume of the Half Tetrahedron. Surface to Volume Ratio of Half Tetrahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Half Tetrahedron using this online calculator? To use this online calculator for Surface to Volume Ratio of Half Tetrahedron, enter Tetrahedral Edge of Half Tetrahedron (l_{e(Tetrahedral)}) and hit the calculate button. Here is how the Surface to Volume Ratio of Half Tetrahedron calculation can be explained with given input values -> 1.893958 = (sqrt(3)/2+1/4)/(10/24*sqrt(2)).

FAQ

What is Surface to Volume Ratio of Half Tetrahedron?

Surface to Volume Ratio of Half Tetrahedron formula is defined as the fraction of surface area to the volume of the Half Tetrahedron and is represented as R_A/V = (sqrt(3)/2+1/4)/(l_{e(Tetrahedral)}/24*sqrt(2)) or Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(Tetrahedral Edge of Half Tetrahedron/24*sqrt(2)). Tetrahedral Edge of Half Tetrahedron is defined as the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron.

How to calculate Surface to Volume Ratio of Half Tetrahedron?

Surface to Volume Ratio of Half Tetrahedron formula is defined as the fraction of surface area to the volume of the Half Tetrahedron is calculated using Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(Tetrahedral Edge of Half Tetrahedron/24*sqrt(2)). To calculate Surface to Volume Ratio of Half Tetrahedron, you need Tetrahedral Edge of Half Tetrahedron (l_{e(Tetrahedral)}). With our tool, you need to enter the respective value for Tetrahedral Edge of Half Tetrahedron 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 Half Tetrahedron?

In this formula, Surface to Volume Ratio of Half Tetrahedron uses Tetrahedral Edge of Half Tetrahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(Half Edge of Half Tetrahedron/12*sqrt(2))
Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(Height of Half Tetrahedron/12*sqrt(3))
Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))/24*sqrt(2))
Surface to Volume Ratio of Half Tetrahedron = (sqrt(3)/2+1/4)/(((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/24*sqrt(2))

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