Total Surface Area of Half Tetrahedron given Half Edges Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*(2*Half Edge of Half Tetrahedron)^2
TSA = (sqrt(3)/2+1/4)*(2*le(Half))^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
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.
Half Edge of Half Tetrahedron - (Measured in Meter) - The Half Edge of Half Tetrahedron is defined as the half of 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
Half Edge of Half Tetrahedron: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = (sqrt(3)/2+1/4)*(2*le(Half))^2 --> (sqrt(3)/2+1/4)*(2*5)^2
Evaluating ... ...
TSA = 111.602540378444
STEP 3: Convert Result to Output's Unit
111.602540378444 Square Meter --> No Conversion Required
FINAL ANSWER
111.602540378444 111.6025 Square Meter <-- Total Surface Area of Half Tetrahedron
(Calculation completed in 00.008 seconds)

Credits

Creator Image
Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1700+ more calculators!

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 Half Edges Formula

​LaTeX ​Go
Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*(2*Half Edge of Half Tetrahedron)^2
TSA = (sqrt(3)/2+1/4)*(2*le(Half))^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 Total Surface Area of Half Tetrahedron given Half Edges?

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

How to calculate Total Surface Area of Half Tetrahedron given Half Edges using this online calculator? To use this online calculator for Total Surface Area of Half Tetrahedron given Half Edges, enter Half Edge of Half Tetrahedron (le(Half)) and hit the calculate button. Here is how the Total Surface Area of Half Tetrahedron given Half Edges calculation can be explained with given input values -> 111.6025 = (sqrt(3)/2+1/4)*(2*5)^2.

FAQ

What is Total Surface Area of Half Tetrahedron given Half Edges?
The Total Surface Area of Half Tetrahedron given Half Edges formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its half edges and is represented as TSA = (sqrt(3)/2+1/4)*(2*le(Half))^2 or Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*(2*Half Edge of Half Tetrahedron)^2. The Half Edge of Half Tetrahedron is defined as the half of the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron.
How to calculate Total Surface Area of Half Tetrahedron given Half Edges?
The Total Surface Area of Half Tetrahedron given Half Edges formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its half edges is calculated using Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*(2*Half Edge of Half Tetrahedron)^2. To calculate Total Surface Area of Half Tetrahedron given Half Edges, you need Half Edge of Half Tetrahedron (le(Half)). With our tool, you need to enter the respective value for Half 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 Total Surface Area of Half Tetrahedron?
In this formula, Total Surface Area of Half Tetrahedron uses Half Edge 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 = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))
  • Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((24*Volume of Half Tetrahedron)/(sqrt(2)))^(2/3)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!