Surface to Volume Ratio of Tetrahedron given Face Area Calculator

✖Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.ⓘ Face Area of Tetrahedron [A_Face]

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✖The Surface to Volume Ratio of Tetrahedron is the numerical ratio of the total surface area to the volume of the Tetrahedron.ⓘ Surface to Volume Ratio of Tetrahedron given Face Area [R_A/V]

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Surface to Volume Ratio of Tetrahedron given Face Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/sqrt((4*Face Area of Tetrahedron)/sqrt(3))
R_A/V = (6*sqrt(6))/sqrt((4*A_Face)/sqrt(3))
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 Tetrahedron - (Measured in 1 per Meter) - The Surface to Volume Ratio of Tetrahedron is the numerical ratio of the total surface area to the volume of the Tetrahedron.
Face Area of Tetrahedron - (Measured in Square Meter) - Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Face Area of Tetrahedron: 45 Square Meter --> 45 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (6*sqrt(6))/sqrt((4*A_Face)/sqrt(3)) --> (6*sqrt(6))/sqrt((4*45)/sqrt(3))

Evaluating ... ...

R_A/V = 1.44168684848085

STEP 3: Convert Result to Output's Unit

1.44168684848085 1 per Meter --> No Conversion Required

FINAL ANSWER

1.44168684848085 ≈ 1.441687 1 per Meter <-- Surface to Volume Ratio of Tetrahedron

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Surface to Volume Ratio of Tetrahedron Calculators

Surface to Volume Ratio of Tetrahedron given Midsphere Radius

LaTeX Go Surface to Volume Ratio of Tetrahedron = (3*sqrt(3))/Midsphere Radius of Tetrahedron

Surface to Volume Ratio of Tetrahedron

LaTeX Go Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/Edge Length of Tetrahedron

Surface to Volume Ratio of Tetrahedron given Circumsphere Radius

LaTeX Go Surface to Volume Ratio of Tetrahedron = 9/Circumsphere Radius of Tetrahedron

Surface to Volume Ratio of Tetrahedron given Insphere Radius

LaTeX Go Surface to Volume Ratio of Tetrahedron = 3/Insphere Radius of Tetrahedron

Surface to Volume Ratio of Tetrahedron given Face Area Formula

LaTeX Go

Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/sqrt((4*Face Area of Tetrahedron)/sqrt(3))
R_A/V = (6*sqrt(6))/sqrt((4*A_Face)/sqrt(3))

What is a Tetrahedron?

A Tetrahedron is a symmetric and closed three dimensional shape with 4 identical equilateral triangular faces. It is a Platonic solid, which has 4 faces, 4 vertices and 6 edges. At each vertex, three equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Surface to Volume Ratio of Tetrahedron given Face Area?

Surface to Volume Ratio of Tetrahedron given Face Area calculator uses Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/sqrt((4*Face Area of Tetrahedron)/sqrt(3)) to calculate the Surface to Volume Ratio of Tetrahedron, The Surface to Volume Ratio of Tetrahedron given Face Area formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron, calculated using face area of Tetrahedron. Surface to Volume Ratio of Tetrahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Tetrahedron given Face Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Tetrahedron given Face Area, enter Face Area of Tetrahedron (A_Face) and hit the calculate button. Here is how the Surface to Volume Ratio of Tetrahedron given Face Area calculation can be explained with given input values -> 1.441687 = (6*sqrt(6))/sqrt((4*45)/sqrt(3)).

FAQ

What is Surface to Volume Ratio of Tetrahedron given Face Area?

The Surface to Volume Ratio of Tetrahedron given Face Area formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron, calculated using face area of Tetrahedron and is represented as R_A/V = (6*sqrt(6))/sqrt((4*A_Face)/sqrt(3)) or Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/sqrt((4*Face Area of Tetrahedron)/sqrt(3)). Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.

How to calculate Surface to Volume Ratio of Tetrahedron given Face Area?

The Surface to Volume Ratio of Tetrahedron given Face Area formula is defined as the numerical ratio of the total surface area to the volume of the Tetrahedron, calculated using face area of Tetrahedron is calculated using Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/sqrt((4*Face Area of Tetrahedron)/sqrt(3)). To calculate Surface to Volume Ratio of Tetrahedron given Face Area, you need Face Area of Tetrahedron (A_Face). With our tool, you need to enter the respective value for Face Area of 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 Tetrahedron?

In this formula, Surface to Volume Ratio of Tetrahedron uses Face Area of Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Tetrahedron = (6*sqrt(6))/Edge Length of Tetrahedron
Surface to Volume Ratio of Tetrahedron = 9/Circumsphere Radius of Tetrahedron
Surface to Volume Ratio of Tetrahedron = 3/Insphere Radius of Tetrahedron

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