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Surface to Volume Ratio of Elongated Triangular Pyramid given Height Formula

GoSurface to Volume Ratio of Elongated Triangular Pyramid Formula

GoSurface to Volume Ratio of Elongated Triangular Pyramid given Total Surface Area 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{h}{\frac{\sqrt{6}}{3} + 1}}

AV - SA:V of Elongated Triangular Pyramid?h - Height of Elongated Triangular Pyramid?

Surface to Volume Ratio of Elongated Triangular Pyramid given Height Example

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

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

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

0.8669 = \frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot \frac{18}{\frac{\sqrt{6}}{3} + 1}}

0.8669m⁻¹ = \frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot \frac{18m}{\frac{\sqrt{6}}{3} + 1}}

0.8669 = \frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot \frac{18}{\frac{\sqrt{6}}{3} + 1}}

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3D Geometry » fx Surface to Volume Ratio of Elongated Triangular Pyramid given Height

Surface to Volume Ratio of Elongated Triangular Pyramid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AV = \frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot \frac{18m}{\frac{\sqrt{6}}{3} + 1}}

Next Step Prepare to Evaluate

∴

AV = \frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot \frac{18}{\frac{\sqrt{6}}{3} + 1}}

Next Step Evaluate

∴

AV = 0.866896440340988m⁻¹

LAST Step Rounding Answer

∴

AV = 0.8669m⁻¹

Surface to Volume Ratio of Elongated Triangular Pyramid given Height 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

Height of Elongated Triangular Pyramid

Height of Elongated Triangular Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Triangular Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Total Surface Area

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

Go Surface to Volume Ratio of Elongated Triangular Pyramid given Volume

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}}}

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

Surface to Volume Ratio of Elongated Triangular Pyramid given Height evaluator uses SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Height of Elongated Triangular Pyramid/(sqrt(6)/3+1)) to evaluate the SA:V of Elongated Triangular Pyramid, The Surface to Volume Ratio of Elongated Triangular Pyramid given Height 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 height 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 Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Elongated Triangular Pyramid given Height, enter Height of Elongated Triangular Pyramid (h) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Elongated Triangular Pyramid given Height is expressed as SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Height of Elongated Triangular Pyramid/(sqrt(6)/3+1)). Here is an example- 0.866896 = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*18/(sqrt(6)/3+1)).

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

With Height of Elongated Triangular Pyramid (h) we can find Surface to Volume Ratio of Elongated Triangular Pyramid given Height using the formula - SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Height of Elongated Triangular Pyramid/(sqrt(6)/3+1)). 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*sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3))))
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))

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

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

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

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

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