Total Surface Area of Half Tetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((24*Volume of Half Tetrahedron)/(sqrt(2)))^(2/3)
TSA = (sqrt(3)/2+1/4)*((24*V)/(sqrt(2)))^(2/3)
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
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.
Volume of Half Tetrahedron - (Measured in Cubic Meter) - The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Half Tetrahedron: 55 Cubic Meter --> 55 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = (sqrt(3)/2+1/4)*((24*V)/(sqrt(2)))^(2/3) --> (sqrt(3)/2+1/4)*((24*55)/(sqrt(2)))^(2/3)
Evaluating ... ...
TSA = 106.589240916368
STEP 3: Convert Result to Output's Unit
106.589240916368 Square Meter --> No Conversion Required
FINAL ANSWER
106.589240916368 106.5892 Square Meter <-- Total Surface Area of Half Tetrahedron
(Calculation completed in 00.004 seconds)

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5 Total Surface Area of Half Tetrahedron Calculators

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

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

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 Volume?

Total Surface Area of Half Tetrahedron given Volume calculator uses Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((24*Volume of Half Tetrahedron)/(sqrt(2)))^(2/3) to calculate the Total Surface Area of Half Tetrahedron, The Total Surface Area of Half Tetrahedron given Volume formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its volume. Total Surface Area of Half Tetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Half Tetrahedron given Volume using this online calculator? To use this online calculator for Total Surface Area of Half Tetrahedron given Volume, enter Volume of Half Tetrahedron (V) and hit the calculate button. Here is how the Total Surface Area of Half Tetrahedron given Volume calculation can be explained with given input values -> 106.5892 = (sqrt(3)/2+1/4)*((24*55)/(sqrt(2)))^(2/3).

FAQ

What is Total Surface Area of Half Tetrahedron given Volume?
The Total Surface Area of Half Tetrahedron given Volume formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its volume and is represented as TSA = (sqrt(3)/2+1/4)*((24*V)/(sqrt(2)))^(2/3) or Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((24*Volume of Half Tetrahedron)/(sqrt(2)))^(2/3). The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron.
How to calculate Total Surface Area of Half Tetrahedron given Volume?
The Total Surface Area of Half Tetrahedron given Volume formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its volume is calculated using Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((24*Volume of Half Tetrahedron)/(sqrt(2)))^(2/3). To calculate Total Surface Area of Half Tetrahedron given Volume, you need Volume of Half Tetrahedron (V). With our tool, you need to enter the respective value for Volume 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 Volume of Half Tetrahedron. We can use 4 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 = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))
  • Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^2
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