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Volume of Tetragonal Trapezohedron given Total Surface Area Formula

GoVolume of Tetragonal Trapezohedron Formula

GoVolume of Tetragonal Trapezohedron given Short Edge Formula

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Volume of Tetragonal Trapezohedron is the amount of three dimensional space covered by Tetragonal Trapezohedron. Check FAQs

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

V - Volume of Tetragonal Trapezohedron?TSA - Total Surface Area of Tetragonal Trapezohedron?

Volume of Tetragonal Trapezohedron given Total Surface Area Example

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

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

Here is how the Volume of Tetragonal Trapezohedron given Total Surface Area equation looks like.

948.1416 = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\sqrt{\frac{550}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})}^{3})

948.1416m³ = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\sqrt{\frac{550m²}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})}^{3})

948.1416 = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\sqrt{\frac{550}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})}^{3})

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Volume of Tetragonal Trapezohedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\sqrt{\frac{550m²}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\sqrt{\frac{550}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})}^{3})

Next Step Evaluate

∴

V = 948.141563536083m³

LAST Step Rounding Answer

∴

V = 948.1416m³

Volume of Tetragonal Trapezohedron given Total Surface Area Formula Elements

Variables

Functions

Volume of Tetragonal Trapezohedron

Volume of Tetragonal Trapezohedron is the amount of three dimensional space covered by Tetragonal Trapezohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tetragonal Trapezohedron

Total Surface Area of Tetragonal Trapezohedron

Total Surface Area of Tetragonal Trapezohedron is the total quantity of two-dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Tetragonal Trapezohedron

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 Volume of Tetragonal Trapezohedron

Go Volume of Tetragonal Trapezohedron

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

Go Volume of Tetragonal Trapezohedron given Short Edge

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{l e(Short)}{\sqrt{\sqrt{2} - 1}})}^{3})

Go Volume of Tetragonal Trapezohedron given Long Edge

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

Go Volume of Tetragonal Trapezohedron given Height

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

How to Evaluate Volume of Tetragonal Trapezohedron given Total Surface Area?

Volume of Tetragonal Trapezohedron given Total Surface Area evaluator uses Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*((sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))^3) to evaluate the Volume of Tetragonal Trapezohedron, The Volume of Tetragonal Trapezohedron given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by a Tetragonal Trapezohedron, calculated using its total surface area. Volume of Tetragonal Trapezohedron is denoted by V symbol.

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

FAQs on Volume of Tetragonal Trapezohedron given Total Surface Area

What is the formula to find Volume of Tetragonal Trapezohedron given Total Surface Area?

The formula of Volume of Tetragonal Trapezohedron given Total Surface Area is expressed as Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*((sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))^3). Here is an example- 948.1416 = (1/3)*sqrt(4+3*sqrt(2))*((sqrt(550/(2*sqrt(2+4*sqrt(2)))))^3).

How to calculate Volume of Tetragonal Trapezohedron given Total Surface Area?

With Total Surface Area of Tetragonal Trapezohedron (TSA) we can find Volume of Tetragonal Trapezohedron given Total Surface Area using the formula - Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*((sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))^3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Tetragonal Trapezohedron?

Here are the different ways to Calculate Volume of Tetragonal Trapezohedron-

Volume of Tetragonal Trapezohedron=(1/3)*sqrt(4+3*sqrt(2))*(Antiprism Edge Length of Tetragonal Trapezohedron^3)
Volume of Tetragonal Trapezohedron=(1/3)*sqrt(4+3*sqrt(2))*((Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))^3)
Volume of Tetragonal Trapezohedron=(1/3)*sqrt(4+3*sqrt(2))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^3)

Can the Volume of Tetragonal Trapezohedron given Total Surface Area be negative?

No, the Volume of Tetragonal Trapezohedron given Total Surface Area, measured in Volume cannot be negative.

Which unit is used to measure Volume of Tetragonal Trapezohedron given Total Surface Area?

Volume of Tetragonal Trapezohedron given Total Surface Area is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Tetragonal Trapezohedron given Total Surface Area can be measured.

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