Total Surface Area of Tetrahedron given Face Area Calculator

✖Total Surface Area of Tetrahedron is the total quantity of plane enclosed by the entire surface of the Tetrahedron.ⓘ Total Surface Area of Tetrahedron given Face Area [TSA]

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Formula

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Total Surface Area of Tetrahedron given Face Area

Formula

`"TSA" = 4*"A"_{"Face"}`

Example

`"180m²"=4*"45m²"`

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Total Surface Area of Tetrahedron given Face Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Tetrahedron = 4*Face Area of Tetrahedron
TSA = 4*A_Face
This formula uses 2 Variables

Variables Used

Total Surface Area of Tetrahedron - (Measured in Square Meter) - Total Surface Area of Tetrahedron is the total quantity of plane enclosed by the entire surface 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

TSA = 4*A_Face --> 4*45

Evaluating ... ...

TSA = 180

STEP 3: Convert Result to Output's Unit

180 Square Meter --> No Conversion Required

FINAL ANSWER

180 Square Meter <-- Total Surface Area of Tetrahedron

(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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Mumbai University (DJSCE), Mumbai

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< 8 Total Surface Area of Tetrahedron Calculators

Total Surface Area of Tetrahedron given Circumsphere Radius

Go Total Surface Area of Tetrahedron = sqrt(3)*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2

Total Surface Area of Tetrahedron given Surface to Volume Ratio

Go Total Surface Area of Tetrahedron = sqrt(3)*((6*sqrt(6))/Surface to Volume Ratio of Tetrahedron)^2

Total Surface Area of Tetrahedron given Midsphere Radius

Go Total Surface Area of Tetrahedron = sqrt(3)*(2*sqrt(2)*Midsphere Radius of Tetrahedron)^2

Total Surface Area of Tetrahedron given Insphere Radius

Go Total Surface Area of Tetrahedron = sqrt(3)*(2*sqrt(6)*Insphere Radius of Tetrahedron)^2

Total Surface Area of Tetrahedron given Volume

Go Total Surface Area of Tetrahedron = sqrt(3)*((12*Volume of Tetrahedron)/sqrt(2))^(2/3)

Total Surface Area of Tetrahedron given Height

Go Total Surface Area of Tetrahedron = sqrt(3)*(sqrt(3/2)*Height of Tetrahedron)^2

Total Surface Area of Tetrahedron

Go Total Surface Area of Tetrahedron = sqrt(3)*Edge Length of Tetrahedron^2

Total Surface Area of Tetrahedron given Face Area

Go Total Surface Area of Tetrahedron = 4*Face Area of Tetrahedron

Total Surface Area of Tetrahedron given Face Area Formula

Total Surface Area of Tetrahedron = 4*Face Area of Tetrahedron
TSA = 4*A_Face

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 Total Surface Area of Tetrahedron given Face Area?

Total Surface Area of Tetrahedron given Face Area calculator uses Total Surface Area of Tetrahedron = 4*Face Area of Tetrahedron to calculate the Total Surface Area of Tetrahedron, The Total Surface Area of Tetrahedron given Face Area formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrahedron, and calculated using the face area of the Tetrahedron. Total Surface Area of Tetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Tetrahedron given Face Area using this online calculator? To use this online calculator for Total Surface Area of Tetrahedron given Face Area, enter Face Area of Tetrahedron (A_Face) and hit the calculate button. Here is how the Total Surface Area of Tetrahedron given Face Area calculation can be explained with given input values -> 180 = 4*45.

FAQ

What is Total Surface Area of Tetrahedron given Face Area?

The Total Surface Area of Tetrahedron given Face Area formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrahedron, and calculated using the face area of the Tetrahedron and is represented as TSA = 4*A_Face or Total Surface Area of Tetrahedron = 4*Face Area of Tetrahedron. Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.

How to calculate Total Surface Area of Tetrahedron given Face Area?

The Total Surface Area of Tetrahedron given Face Area formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrahedron, and calculated using the face area of the Tetrahedron is calculated using Total Surface Area of Tetrahedron = 4*Face Area of Tetrahedron. To calculate Total Surface Area 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 Total Surface Area of Tetrahedron?

In this formula, Total Surface Area of Tetrahedron uses Face Area of Tetrahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Tetrahedron = sqrt(3)*Edge Length of Tetrahedron^2
Total Surface Area of Tetrahedron = sqrt(3)*((12*Volume of Tetrahedron)/sqrt(2))^(2/3)
Total Surface Area of Tetrahedron = sqrt(3)*(sqrt(3/2)*Height of Tetrahedron)^2
Total Surface Area of Tetrahedron = sqrt(3)*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2
Total Surface Area of Tetrahedron = sqrt(3)*(2*sqrt(6)*Insphere Radius of Tetrahedron)^2
Total Surface Area of Tetrahedron = sqrt(3)*(2*sqrt(2)*Midsphere Radius of Tetrahedron)^2
Total Surface Area of Tetrahedron = sqrt(3)*((6*sqrt(6))/Surface to Volume Ratio of Tetrahedron)^2

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