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Volume of Elongated Triangular Pyramid given Surface to Volume Ratio Formula

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Volume of Elongated Triangular Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid. Check FAQs

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

V - Volume of Elongated Triangular Pyramid?AV - SA:V of Elongated Triangular Pyramid?

Volume of Elongated Triangular Pyramid given Surface to Volume Ratio Example

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Here is how the Volume of Elongated Triangular Pyramid given Surface to Volume Ratio equation looks like with Values.

Here is how the Volume of Elongated Triangular Pyramid given Surface to Volume Ratio equation looks like with Units.

Here is how the Volume of Elongated Triangular Pyramid given Surface to Volume Ratio equation looks like.

478.9963 = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot 0.9})}^{3}

478.9963m³ = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot 0.9m⁻¹})}^{3}

478.9963 = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot 0.9})}^{3}

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Volume of Elongated Triangular Pyramid given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Elongated Triangular Pyramid given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot 0.9m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot 0.9})}^{3}

Next Step Evaluate

∴

V = 478.996291078859m³

LAST Step Rounding Answer

∴

V = 478.9963m³

Volume of Elongated Triangular Pyramid given Surface to Volume Ratio Formula Elements

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Functions

Volume of Elongated Triangular Pyramid

Volume of Elongated Triangular Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Elongated Triangular Pyramid

SA:V of Elongated Triangular Pyramid

SA:V of Elongated Triangular Pyramid is the numerical ratio of the total surface area of the Elongated Triangular Pyramid to the volume of the Elongated Triangular Pyramid.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Elongated Triangular Pyramid

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 Elongated Triangular Pyramid

Go Volume of Elongated Triangular Pyramid

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {l e}^{3}

Go Volume of Elongated Triangular Pyramid given Height

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{h}{\frac{\sqrt{6}}{3} + 1})}^{3}

Go Volume of Elongated Triangular Pyramid given Total Surface Area

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

How to Evaluate Volume of Elongated Triangular Pyramid given Surface to Volume Ratio?

Volume of Elongated Triangular Pyramid given Surface to Volume Ratio evaluator uses Volume of Elongated Triangular Pyramid = (sqrt(2)+(3*sqrt(3)))/12*((3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*SA:V of Elongated Triangular Pyramid))^3 to evaluate the Volume of Elongated Triangular Pyramid, The Volume of Elongated Triangular Pyramid given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid and is calculated using the surface to volume ratio of the Elongated Triangular Pyramid. Volume of Elongated Triangular Pyramid is denoted by V symbol.

How to evaluate Volume of Elongated Triangular Pyramid given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Elongated Triangular Pyramid given Surface to Volume Ratio, enter SA:V of Elongated Triangular Pyramid (AV) and hit the calculate button.

FAQs on Volume of Elongated Triangular Pyramid given Surface to Volume Ratio

What is the formula to find Volume of Elongated Triangular Pyramid given Surface to Volume Ratio?

The formula of Volume of Elongated Triangular Pyramid given Surface to Volume Ratio is expressed as Volume of Elongated Triangular Pyramid = (sqrt(2)+(3*sqrt(3)))/12*((3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*SA:V of Elongated Triangular Pyramid))^3. Here is an example- 478.9963 = (sqrt(2)+(3*sqrt(3)))/12*((3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*0.9))^3.

How to calculate Volume of Elongated Triangular Pyramid given Surface to Volume Ratio?

With SA:V of Elongated Triangular Pyramid (AV) we can find Volume of Elongated Triangular Pyramid given Surface to Volume Ratio using the formula - Volume of Elongated Triangular Pyramid = (sqrt(2)+(3*sqrt(3)))/12*((3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*SA:V of Elongated Triangular Pyramid))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Elongated Triangular Pyramid?

Here are the different ways to Calculate Volume of Elongated Triangular Pyramid-

Volume of Elongated Triangular Pyramid=(sqrt(2)+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Pyramid^3
Volume of Elongated Triangular Pyramid=(sqrt(2)+(3*sqrt(3)))/12*(Height of Elongated Triangular Pyramid/(sqrt(6)/3+1))^3
Volume of Elongated Triangular Pyramid=(sqrt(2)+(3*sqrt(3)))/12*(sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3))))^3

Can the Volume of Elongated Triangular Pyramid given Surface to Volume Ratio be negative?

No, the Volume of Elongated Triangular Pyramid given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Elongated Triangular Pyramid given Surface to Volume Ratio?

Volume of Elongated Triangular Pyramid given Surface to Volume Ratio 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 Elongated Triangular Pyramid given Surface to Volume Ratio can be measured.

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