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Volume of Tetragonal Trapezohedron given Height 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 ({(\frac{h}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{3})

V - Volume of Tetragonal Trapezohedron?h - Height of Tetragonal Trapezohedron?

Volume of Tetragonal Trapezohedron given Height Example

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Here is how the Volume of Tetragonal Trapezohedron given Height equation looks like with Values.

Here is how the Volume of Tetragonal Trapezohedron given Height equation looks like with Units.

Here is how the Volume of Tetragonal Trapezohedron given Height equation looks like.

915.0553 = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{3})

915.0553m³ = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{20m}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{3})

915.0553 = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{3})

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Volume of Tetragonal Trapezohedron given Height Solution

Follow our step by step solution on how to calculate Volume of Tetragonal Trapezohedron given Height?

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{20m}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot ({(\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{3})

Next Step Evaluate

∴

V = 915.055334686986m³

LAST Step Rounding Answer

∴

V = 915.0553m³

Volume of Tetragonal Trapezohedron given Height 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

Height of Tetragonal Trapezohedron

Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Total Surface Area

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

How to Evaluate Volume of Tetragonal Trapezohedron given Height?

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

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

FAQs on Volume of Tetragonal Trapezohedron given Height

What is the formula to find Volume of Tetragonal Trapezohedron given Height?

The formula of Volume of Tetragonal Trapezohedron given Height is expressed as Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*((Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))))^3). Here is an example- 915.0553 = (1/3)*sqrt(4+3*sqrt(2))*((20/(sqrt((1/2)*(4+3*sqrt(2)))))^3).

How to calculate Volume of Tetragonal Trapezohedron given Height?

With Height of Tetragonal Trapezohedron (h) we can find Volume of Tetragonal Trapezohedron given Height using the formula - Volume of Tetragonal Trapezohedron = (1/3)*sqrt(4+3*sqrt(2))*((Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))))^3). This formula also uses Square Root Function 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 Height be negative?

No, the Volume of Tetragonal Trapezohedron given Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Tetragonal Trapezohedron given Height?

Volume of Tetragonal Trapezohedron given Height 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 Height can be measured.

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