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Total Surface Area of Hexakis Octahedron given Volume Formula

GoTotal Surface Area of Hexakis Octahedron Formula

GoTotal Surface Area of Hexakis Octahedron given Medium Edge Formula

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Total Surface Area of Hexakis Octahedron is the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron. Check FAQs

TSA = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{2}{3}})

TSA - Total Surface Area of Hexakis Octahedron?V - Volume of Hexakis Octahedron?

Total Surface Area of Hexakis Octahedron given Volume Example

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Here is how the Total Surface Area of Hexakis Octahedron given Volume equation looks like with Values.

Here is how the Total Surface Area of Hexakis Octahedron given Volume equation looks like with Units.

Here is how the Total Surface Area of Hexakis Octahedron given Volume equation looks like.

4818.0805 = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{2}{3}})

4818.0805m² = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{28 \cdot 30000m³}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{2}{3}})

4818.0805 = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{2}{3}})

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Total Surface Area of Hexakis Octahedron given Volume Solution

Follow our step by step solution on how to calculate Total Surface Area of Hexakis Octahedron given Volume?

FIRST Step Consider the formula

TSA = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{2}{3}})

Next Step Substitute values of Variables

∴

TSA = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{28 \cdot 30000m³}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{2}{3}})

Next Step Prepare to Evaluate

∴

TSA = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{2}{3}})

Next Step Evaluate

∴

TSA = 4818.08053769286m²

LAST Step Rounding Answer

∴

TSA = 4818.0805m²

Total Surface Area of Hexakis Octahedron given Volume Formula Elements

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Functions

Total Surface Area of Hexakis Octahedron

Total Surface Area of Hexakis Octahedron is the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Hexakis Octahedron

Volume of Hexakis Octahedron

Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hexakis Octahedron

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 Hexakis Octahedron

Go Total Surface Area of Hexakis Octahedron

TSA = ({(l e(Long))}^{2}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot (\frac{3}{7})

Go Total Surface Area of Hexakis Octahedron given Medium Edge

TSA = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{14 \cdot l e(Medium)}{3 \cdot (1 + (2 \cdot \sqrt{2}))})}^{2})

Go Total Surface Area of Hexakis Octahedron given Short Edge

TSA = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})}^{2})

Go Total Surface Area of Hexakis Octahedron given Midsphere Radius

TSA = (\frac{3}{7}) \cdot (\sqrt{543 + (176 \cdot \sqrt{2})}) \cdot ({(\frac{4 \cdot r m}{1 + (2 \cdot \sqrt{2})})}^{2})

How to Evaluate Total Surface Area of Hexakis Octahedron given Volume?

Total Surface Area of Hexakis Octahedron given Volume evaluator uses Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(2/3)) to evaluate the Total Surface Area of Hexakis Octahedron, The Total Surface Area of Hexakis Octahedron given Volume formula is defined as the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron, calculated using volume of Hexakis Octahedron. Total Surface Area of Hexakis Octahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Hexakis Octahedron given Volume

What is the formula to find Total Surface Area of Hexakis Octahedron given Volume?

The formula of Total Surface Area of Hexakis Octahedron given Volume is expressed as Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(2/3)). Here is an example- 4818.081 = (3/7)*(sqrt(543+(176*sqrt(2))))*(((28*30000)/(sqrt(6*(986+(607*sqrt(2))))))^(2/3)).

How to calculate Total Surface Area of Hexakis Octahedron given Volume?

With Volume of Hexakis Octahedron (V) we can find Total Surface Area of Hexakis Octahedron given Volume using the formula - Total Surface Area of Hexakis Octahedron = (3/7)*(sqrt(543+(176*sqrt(2))))*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(2/3)). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Hexakis Octahedron=((Long Edge of Hexakis Octahedron)^2)*(sqrt(543+(176*sqrt(2))))*(3/7)
Total Surface Area of Hexakis Octahedron=(3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^2)
Total Surface Area of Hexakis Octahedron=(3/7)*(sqrt(543+(176*sqrt(2))))*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^2)

Can the Total Surface Area of Hexakis Octahedron given Volume be negative?

No, the Total Surface Area of Hexakis Octahedron given Volume, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Hexakis Octahedron given Volume?

Total Surface Area of Hexakis Octahedron given Volume 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 Hexakis Octahedron given Volume can be measured.

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