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Surface to Volume Ratio of Elongated Triangular Pyramid given Volume Formula

GoSurface to Volume Ratio of Elongated Triangular Pyramid Formula

GoSurface to Volume Ratio of Elongated Triangular Pyramid given Height Formula

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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. Check FAQs

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

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

Surface to Volume Ratio of Elongated Triangular Pyramid given Volume Example

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

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

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

0.8595 = \frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{12 \cdot 550}{\sqrt{2} + (3 \cdot \sqrt{3})})}^{\frac{1}{3}}}

0.8595m⁻¹ = \frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{12 \cdot 550m³}{\sqrt{2} + (3 \cdot \sqrt{3})})}^{\frac{1}{3}}}

0.8595 = \frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{12 \cdot 550}{\sqrt{2} + (3 \cdot \sqrt{3})})}^{\frac{1}{3}}}

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Surface to Volume Ratio of Elongated Triangular Pyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AV = \frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{12 \cdot 550m³}{\sqrt{2} + (3 \cdot \sqrt{3})})}^{\frac{1}{3}}}

Next Step Prepare to Evaluate

∴

AV = \frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{12 \cdot 550}{\sqrt{2} + (3 \cdot \sqrt{3})})}^{\frac{1}{3}}}

Next Step Evaluate

∴

AV = 0.859473181614168m⁻¹

LAST Step Rounding Answer

∴

AV = 0.8595m⁻¹

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

Variables

Functions

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

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

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 SA:V of Elongated Triangular Pyramid

Go Surface to Volume Ratio of Elongated Triangular Pyramid

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

Go Surface to Volume Ratio of Elongated Triangular Pyramid given Height

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

Go Surface to Volume Ratio of Elongated Triangular Pyramid given Total Surface Area

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

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

Surface to Volume Ratio of Elongated Triangular Pyramid given Volume evaluator uses SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)) to evaluate the SA:V of Elongated Triangular Pyramid, The Surface to Volume Ratio of Elongated Triangular Pyramid given Volume formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Pyramid to the volume of the Elongated Triangular Pyramid and is calculated using the volume of the Elongated Triangular Pyramid. SA:V of Elongated Triangular Pyramid is denoted by AV symbol.

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

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

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

The formula of Surface to Volume Ratio of Elongated Triangular Pyramid given Volume is expressed as SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)). Here is an example- 0.859473 = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*((12*550)/(sqrt(2)+(3*sqrt(3))))^(1/3)).

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

With Volume of Elongated Triangular Pyramid (V) we can find Surface to Volume Ratio of Elongated Triangular Pyramid given Volume using the formula - SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Elongated Triangular Pyramid?

Here are the different ways to Calculate SA:V of Elongated Triangular Pyramid-

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

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

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

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

Surface to Volume Ratio of Elongated Triangular Pyramid given Volume is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Elongated Triangular Pyramid given Volume can be measured.

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