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Surface to Volume Ratio of Elongated Triangular Bipyramid given Height Formula

GoSurface to Volume Ratio of Elongated Triangular Bipyramid Formula

GoSurface to Volume Ratio of Elongated Triangular Bipyramid given Total Surface Area Formula

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

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

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

Surface to Volume Ratio of Elongated Triangular Bipyramid given Height Example

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

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

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

0.8478 = \frac{\frac{3}{2} \cdot (2 + \sqrt{3})}{\frac{(2 \cdot \sqrt{2}) + (3 \cdot \sqrt{3})}{12} \cdot (\frac{26}{\frac{2 \cdot \sqrt{6}}{3} + 1})}

0.8478m⁻¹ = \frac{\frac{3}{2} \cdot (2 + \sqrt{3})}{\frac{(2 \cdot \sqrt{2}) + (3 \cdot \sqrt{3})}{12} \cdot (\frac{26m}{\frac{2 \cdot \sqrt{6}}{3} + 1})}

0.8478 = \frac{\frac{3}{2} \cdot (2 + \sqrt{3})}{\frac{(2 \cdot \sqrt{2}) + (3 \cdot \sqrt{3})}{12} \cdot (\frac{26}{\frac{2 \cdot \sqrt{6}}{3} + 1})}

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Surface to Volume Ratio of Elongated Triangular Bipyramid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AV = \frac{\frac{3}{2} \cdot (2 + \sqrt{3})}{\frac{(2 \cdot \sqrt{2}) + (3 \cdot \sqrt{3})}{12} \cdot (\frac{26m}{\frac{2 \cdot \sqrt{6}}{3} + 1})}

Next Step Prepare to Evaluate

∴

AV = \frac{\frac{3}{2} \cdot (2 + \sqrt{3})}{\frac{(2 \cdot \sqrt{2}) + (3 \cdot \sqrt{3})}{12} \cdot (\frac{26}{\frac{2 \cdot \sqrt{6}}{3} + 1})}

Next Step Evaluate

∴

AV = 0.847762397070731m⁻¹

LAST Step Rounding Answer

∴

AV = 0.8478m⁻¹

Surface to Volume Ratio of Elongated Triangular Bipyramid given Height Formula Elements

Variables

Functions

SA:V of Elongated Triangular Bipyramid

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

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Elongated Triangular Bipyramid

Height of Elongated Triangular Bipyramid

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Elongated Triangular Bipyramid

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 Bipyramid

Go Surface to Volume Ratio of Elongated Triangular Bipyramid

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

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

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

Go Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume

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

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

Surface to Volume Ratio of Elongated Triangular Bipyramid given Height evaluator uses SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1))) to evaluate the SA:V of Elongated Triangular Bipyramid, The Surface to Volume Ratio of Elongated Triangular Bipyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid and is calculated using the height of the Elongated Triangular Bipyramid. SA:V of Elongated Triangular Bipyramid is denoted by AV symbol.

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

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

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

The formula of Surface to Volume Ratio of Elongated Triangular Bipyramid given Height is expressed as SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1))). Here is an example- 0.847762 = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(26/((2*sqrt(6))/3+1))).

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

With Height of Elongated Triangular Bipyramid (h) we can find Surface to Volume Ratio of Elongated Triangular Bipyramid given Height using the formula - SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/((2*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 Bipyramid?

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

SA:V of Elongated Triangular Bipyramid=(3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Bipyramid)
SA:V of Elongated Triangular Bipyramid=(3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))))
SA:V of Elongated Triangular Bipyramid=(3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*((12*Volume of Elongated Triangular Bipyramid)/((2*sqrt(2))+(3*sqrt(3))))^(1/3))

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

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

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

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

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