Total Surface Area of Half Tetrahedron given Height Calculator

✖The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron.ⓘ Height of Half Tetrahedron [h]

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✖The Total Surface Area of Half Tetrahedron is the total area or region occupied by all the faces of the Half Tetrahedron.ⓘ Total Surface Area of Half Tetrahedron given Height [TSA]

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Total Surface Area of Half Tetrahedron given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))
TSA = (((6*h)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))
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

Total Surface Area of Half Tetrahedron - (Measured in Square Meter) - The Total Surface Area of Half Tetrahedron is the total area or region occupied by all the faces of the Half Tetrahedron.
Height of Half Tetrahedron - (Measured in Meter) - The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Height of Half Tetrahedron: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (((6*h)/sqrt(6))^2)*((sqrt(3)/2)+(1/4)) --> (((6*4)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))

Evaluating ... ...

TSA = 107.138438763306

STEP 3: Convert Result to Output's Unit

107.138438763306 Square Meter --> No Conversion Required

FINAL ANSWER

107.138438763306 ≈ 107.1384 Square Meter <-- Total Surface Area of Half Tetrahedron

(Calculation completed in 00.007 seconds)

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< Total Surface Area of Half Tetrahedron Calculators

Total Surface Area of Half Tetrahedron given Volume

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

Total Surface Area of Half Tetrahedron given Height

LaTeX Go Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))

Total Surface Area of Half Tetrahedron

LaTeX Go Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*Tetrahedral Edge of Half Tetrahedron^2

Total Surface Area of Half Tetrahedron given Half Edges

LaTeX Go Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*(2*Half Edge of Half Tetrahedron)^2

Total Surface Area of Half Tetrahedron given Height Formula

LaTeX Go

Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))
TSA = (((6*h)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))

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 Total Surface Area of Half Tetrahedron given Height?

Total Surface Area of Half Tetrahedron given Height calculator uses Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4)) to calculate the Total Surface Area of Half Tetrahedron, The Total Surface Area of Half Tetrahedron given Height formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its height. Total Surface Area of Half Tetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Half Tetrahedron given Height using this online calculator? To use this online calculator for Total Surface Area of Half Tetrahedron given Height, enter Height of Half Tetrahedron (h) and hit the calculate button. Here is how the Total Surface Area of Half Tetrahedron given Height calculation can be explained with given input values -> 107.1384 = (((6*4)/sqrt(6))^2)*((sqrt(3)/2)+(1/4)).

FAQ

What is Total Surface Area of Half Tetrahedron given Height?

The Total Surface Area of Half Tetrahedron given Height formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its height and is represented as TSA = (((6*h)/sqrt(6))^2)*((sqrt(3)/2)+(1/4)) or Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4)). The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron.

How to calculate Total Surface Area of Half Tetrahedron given Height?

The Total Surface Area of Half Tetrahedron given Height formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its height is calculated using Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4)). To calculate Total Surface Area of Half Tetrahedron given Height, you need Height of Half Tetrahedron (h). With our tool, you need to enter the respective value for Height 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 Total Surface Area of Half Tetrahedron?

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

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

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