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Total Surface Area of Tetrahedron given Height Formula

GoTotal Surface Area of Tetrahedron Formula

GoTotal Surface Area of Tetrahedron given Circumsphere Radius Formula

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Total Surface Area of Tetrahedron is the total quantity of plane enclosed by the entire surface of the Tetrahedron. Check FAQs

TSA = \sqrt{3} \cdot {(\sqrt{\frac{3}{2}} \cdot h)}^{2}

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

Total Surface Area of Tetrahedron given Height Example

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

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

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

166.2769 = \sqrt{3} \cdot {(\sqrt{\frac{3}{2}} \cdot 8)}^{2}

166.2769m² = \sqrt{3} \cdot {(\sqrt{\frac{3}{2}} \cdot 8m)}^{2}

166.2769 = \sqrt{3} \cdot {(\sqrt{\frac{3}{2}} \cdot 8)}^{2}

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Total Surface Area of Tetrahedron given Height Solution

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

FIRST Step Consider the formula

TSA = \sqrt{3} \cdot {(\sqrt{\frac{3}{2}} \cdot h)}^{2}

Next Step Substitute values of Variables

∴

TSA = \sqrt{3} \cdot {(\sqrt{\frac{3}{2}} \cdot 8m)}^{2}

Next Step Prepare to Evaluate

∴

TSA = \sqrt{3} \cdot {(\sqrt{\frac{3}{2}} \cdot 8)}^{2}

Next Step Evaluate

∴

TSA = 166.276877526612m²

LAST Step Rounding Answer

∴

TSA = 166.2769m²

Total Surface Area of Tetrahedron given Height Formula Elements

Variables

Functions

Total Surface Area of Tetrahedron

Total Surface Area of Tetrahedron is the total quantity of plane enclosed by the entire surface of the Tetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Tetrahedron

Height of Tetrahedron

Height of Tetrahedron is the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of 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 Tetrahedron

Go Total Surface Area of Tetrahedron

TSA = \sqrt{3} \cdot {l e}^{2}

Go Total Surface Area of Tetrahedron given Circumsphere Radius

TSA = \sqrt{3} \cdot {(\frac{2 \cdot \sqrt{2} \cdot r c}{\sqrt{3}})}^{2}

Go Total Surface Area of Tetrahedron given Volume

TSA = \sqrt{3} \cdot {(\frac{12 \cdot V}{\sqrt{2}})}^{\frac{2}{3}}

Other formulas in Total Surface Area of Tetrahedron category

Go Face Area of Tetrahedron

A Face = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Go Face Area of Tetrahedron given Insphere Radius

A Face = 6 \cdot \sqrt{3} \cdot {r i}^{2}

How to Evaluate Total Surface Area of Tetrahedron given Height?

Total Surface Area of Tetrahedron given Height evaluator uses Total Surface Area of Tetrahedron = sqrt(3)*(sqrt(3/2)*Height of Tetrahedron)^2 to evaluate the Total Surface Area of Tetrahedron, The Total Surface Area of Tetrahedron given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Tetrahedron, and calculated using the height of the Tetrahedron. Total Surface Area of Tetrahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Tetrahedron given Height using this online evaluator? To use this online evaluator for Total Surface Area of Tetrahedron given Height, enter Height of Tetrahedron (h) and hit the calculate button.

FAQs on Total Surface Area of Tetrahedron given Height

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

The formula of Total Surface Area of Tetrahedron given Height is expressed as Total Surface Area of Tetrahedron = sqrt(3)*(sqrt(3/2)*Height of Tetrahedron)^2. Here is an example- 166.2769 = sqrt(3)*(sqrt(3/2)*8)^2.

How to calculate Total Surface Area of Tetrahedron given Height?

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

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

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

Total Surface Area of Tetrahedron=sqrt(3)*Edge Length of Tetrahedron^2
Total Surface Area of Tetrahedron=sqrt(3)*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2
Total Surface Area of Tetrahedron=sqrt(3)*((12*Volume of Tetrahedron)/sqrt(2))^(2/3)

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

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

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

Total Surface Area of 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 Tetrahedron given Height can be measured.

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