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Space Diagonal of Octahedron given Total Surface Area Formula

GoSpace Diagonal of Octahedron given Volume Formula

GoSpace Diagonal of Octahedron Formula

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The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron. Check FAQs

d Space = \sqrt{\frac{TSA}{\sqrt{3}}}

d_Space - Space Diagonal of Octahedron?TSA - Total Surface Area of Octahedron?

Space Diagonal of Octahedron given Total Surface Area Example

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

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

Here is how the Space Diagonal of Octahedron given Total Surface Area equation looks like.

14.2152 = \sqrt{\frac{350}{\sqrt{3}}}

14.2152m = \sqrt{\frac{350m²}{\sqrt{3}}}

14.2152 = \sqrt{\frac{350}{\sqrt{3}}}

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Space Diagonal of Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

d Space = \sqrt{\frac{TSA}{\sqrt{3}}}

Next Step Substitute values of Variables

∴

d Space = \sqrt{\frac{350m²}{\sqrt{3}}}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{\frac{350}{\sqrt{3}}}

Next Step Evaluate

∴

d Space = 14.2152240297636m

LAST Step Rounding Answer

∴

d Space = 14.2152m

Space Diagonal of Octahedron given Total Surface Area Formula Elements

Variables

Functions

Space Diagonal of Octahedron

The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Octahedron

Total Surface Area of Octahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of 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 Space Diagonal of Octahedron

Go Space Diagonal of Octahedron given Volume

d Space = \sqrt{2} \cdot {(\frac{3 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}

Go Space Diagonal of Octahedron

d Space = \sqrt{2} \cdot l e

Go Space Diagonal of Octahedron given Midsphere Radius

d Space = 2 \cdot \sqrt{2} \cdot r m

Go Space Diagonal of Octahedron given Insphere Radius

d Space = 2 \cdot \sqrt{3} \cdot r i

How to Evaluate Space Diagonal of Octahedron given Total Surface Area?

Space Diagonal of Octahedron given Total Surface Area evaluator uses Space Diagonal of Octahedron = sqrt(Total Surface Area of Octahedron/sqrt(3)) to evaluate the Space Diagonal of Octahedron, The Space Diagonal of Octahedron given Total Surface Area formula is defined as the line connecting two vertices that are not on the same face of the Octahedron and is calculated using the total surface area of the Octahedron. Space Diagonal of Octahedron is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Octahedron given Total Surface Area

What is the formula to find Space Diagonal of Octahedron given Total Surface Area?

The formula of Space Diagonal of Octahedron given Total Surface Area is expressed as Space Diagonal of Octahedron = sqrt(Total Surface Area of Octahedron/sqrt(3)). Here is an example- 14.21522 = sqrt(350/sqrt(3)).

How to calculate Space Diagonal of Octahedron given Total Surface Area?

With Total Surface Area of Octahedron (TSA) we can find Space Diagonal of Octahedron given Total Surface Area using the formula - Space Diagonal of Octahedron = sqrt(Total Surface Area of Octahedron/sqrt(3)). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Space Diagonal of Octahedron?

Here are the different ways to Calculate Space Diagonal of Octahedron-

Space Diagonal of Octahedron=sqrt(2)*((3*Volume of Octahedron)/sqrt(2))^(1/3)
Space Diagonal of Octahedron=sqrt(2)*Edge Length of Octahedron
Space Diagonal of Octahedron=2*sqrt(2)*Midsphere Radius of Octahedron

Can the Space Diagonal of Octahedron given Total Surface Area be negative?

No, the Space Diagonal of Octahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Octahedron given Total Surface Area?

Space Diagonal of Octahedron given Total Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Space Diagonal of Octahedron given Total Surface Area can be measured.

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