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Total Surface Area of Half Tetrahedron given Height Formula

GoTotal Surface Area of Half Tetrahedron Formula

GoTotal Surface Area of Half Tetrahedron given Half Edges Formula

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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. Check FAQs

TSA = ({(\frac{6 \cdot h}{\sqrt{6}})}^{2}) \cdot ((\frac{\sqrt{3}}{2}) + (\frac{1}{4}))

TSA - Total Surface Area of Half Tetrahedron?h - Height of Half Tetrahedron?

Total Surface Area of Half Tetrahedron given Height Example

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Here is how the Total Surface Area of Half Tetrahedron given Height equation looks like with Values.

Here is how the Total Surface Area of Half Tetrahedron given Height equation looks like with Units.

Here is how the Total Surface Area of Half Tetrahedron given Height equation looks like.

107.1384 = ({(\frac{6 \cdot 4}{\sqrt{6}})}^{2}) \cdot ((\frac{\sqrt{3}}{2}) + (\frac{1}{4}))

107.1384m² = ({(\frac{6 \cdot 4m}{\sqrt{6}})}^{2}) \cdot ((\frac{\sqrt{3}}{2}) + (\frac{1}{4}))

107.1384 = ({(\frac{6 \cdot 4}{\sqrt{6}})}^{2}) \cdot ((\frac{\sqrt{3}}{2}) + (\frac{1}{4}))

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Total Surface Area of Half Tetrahedron given Height Solution

Follow our step by step solution on how to calculate Total Surface Area of Half Tetrahedron given Height?

FIRST Step Consider the formula

TSA = ({(\frac{6 \cdot h}{\sqrt{6}})}^{2}) \cdot ((\frac{\sqrt{3}}{2}) + (\frac{1}{4}))

Next Step Substitute values of Variables

∴

TSA = ({(\frac{6 \cdot 4m}{\sqrt{6}})}^{2}) \cdot ((\frac{\sqrt{3}}{2}) + (\frac{1}{4}))

Next Step Prepare to Evaluate

∴

TSA = ({(\frac{6 \cdot 4}{\sqrt{6}})}^{2}) \cdot ((\frac{\sqrt{3}}{2}) + (\frac{1}{4}))

Next Step Evaluate

∴

TSA = 107.138438763306m²

LAST Step Rounding Answer

∴

TSA = 107.1384m²

Total Surface Area of Half Tetrahedron given Height Formula Elements

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Total Surface Area of Half Tetrahedron

The Total Surface Area of Half Tetrahedron is the total area or region occupied by all the faces of the Half Tetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Half Tetrahedron

Height of Half Tetrahedron

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Half Tetrahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Total Surface Area of Half Tetrahedron

Go Total Surface Area of Half Tetrahedron

TSA = (\frac{\sqrt{3}}{2} + \frac{1}{4}) \cdot {l e(Tetrahedral)}^{2}

Go Total Surface Area of Half Tetrahedron given Half Edges

TSA = (\frac{\sqrt{3}}{2} + \frac{1}{4}) \cdot {(2 \cdot l e(Half))}^{2}

Go Total Surface Area of Half Tetrahedron given Volume

TSA = (\frac{\sqrt{3}}{2} + \frac{1}{4}) \cdot {(\frac{24 \cdot V}{\sqrt{2}})}^{\frac{2}{3}}

Go Total Surface Area of Half Tetrahedron given Surface to Volume Ratio

TSA = (\frac{\sqrt{3}}{2} + \frac{1}{4}) \cdot {(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{R A/V}{24} \cdot \sqrt{2}})}^{2}

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

Total Surface Area of Half Tetrahedron given Height evaluator uses Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4)) to evaluate 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 evaluate Total Surface Area of Half Tetrahedron given Height using this online evaluator? To use this online evaluator for Total Surface Area of Half Tetrahedron given Height, enter Height of Half Tetrahedron (h) and hit the calculate button.

FAQs on Total Surface Area of Half Tetrahedron given Height

What is the formula to find Total Surface Area of Half Tetrahedron given Height?

The formula of Total Surface Area of Half Tetrahedron given Height is expressed as Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4)). Here is an example- 107.1384 = (((6*4)/sqrt(6))^2)*((sqrt(3)/2)+(1/4)).

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

With Height of Half Tetrahedron (h) we can find Total Surface Area of Half Tetrahedron given Height using the formula - Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Half Tetrahedron?

Here are the different ways to Calculate Total Surface Area of Half Tetrahedron-

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)

Can the Total Surface Area of Half Tetrahedron given Height be negative?

No, the Total Surface Area of Half Tetrahedron given Height, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Half Tetrahedron given Height?

Total Surface Area of Half Tetrahedron given Height is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Half Tetrahedron given Height can be measured.

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