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Total Surface Area of Half Tetrahedron given Surface to Volume Ratio 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{\sqrt{3}}{2} + \frac{1}{4}) \cdot {(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{R A/V}{24} \cdot \sqrt{2}})}^{2}

TSA - Total Surface Area of Half Tetrahedron?R_A/V - Surface to Volume Ratio of Half Tetrahedron?

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

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

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

Here is how the Total Surface Area of Half Tetrahedron given Surface to Volume Ratio equation looks like.

100.0817 = (\frac{\sqrt{3}}{2} + \frac{1}{4}) \cdot {(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{2}{24} \cdot \sqrt{2}})}^{2}

100.0817m² = (\frac{\sqrt{3}}{2} + \frac{1}{4}) \cdot {(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{2m⁻¹}{24} \cdot \sqrt{2}})}^{2}

100.0817 = (\frac{\sqrt{3}}{2} + \frac{1}{4}) \cdot {(\frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{\frac{2}{24} \cdot \sqrt{2}})}^{2}

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

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 100.08171475545m²

LAST Step Rounding Answer

∴

TSA = 100.0817m²

Total Surface Area of Half Tetrahedron given Surface to Volume Ratio Formula Elements

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Functions

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

Surface to Volume Ratio of Half Tetrahedron

Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Height

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

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}}

How to Evaluate Total Surface Area of Half Tetrahedron given Surface to Volume Ratio?

Total Surface Area of Half Tetrahedron given Surface to Volume Ratio evaluator uses 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 to evaluate the Total Surface Area of Half Tetrahedron, The Total Surface Area of Half Tetrahedron given Surface to Volume Ratio formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its surface to volume ratio. Total Surface Area of Half Tetrahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Half Tetrahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Total Surface Area of Half Tetrahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Half Tetrahedron (R_A/V) and hit the calculate button.

FAQs on Total Surface Area of Half Tetrahedron given Surface to Volume Ratio

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

The formula of Total Surface Area of Half Tetrahedron given Surface to Volume Ratio is expressed as 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. Here is an example- 100.0817 = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(2/24*sqrt(2)))^2.

How to calculate Total Surface Area of Half Tetrahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Half Tetrahedron (R_A/V) we can find Total Surface Area of Half Tetrahedron given Surface to Volume Ratio using the formula - 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. 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=(((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))

Can the Total Surface Area of Half Tetrahedron given Surface to Volume Ratio be negative?

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

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

Total Surface Area of Half Tetrahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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