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Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio Formula

GoTotal Surface Area of Gyroelongated Square Dipyramid Formula

GoTotal Surface Area of Gyroelongated Square Dipyramid given Height Formula

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TSA of Gyroelongated Square Dipyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Dipyramid. Check FAQs

SA Total = 4 \cdot \sqrt{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot AV})}^{2}

SA_Total - TSA of Gyroelongated Square Dipyramid?AV - SA:V of Gyroelongated Square Dipyramid?

Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio Example

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Here is how the Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio equation looks like with Values.

Here is how the Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio equation looks like with Units.

Here is how the Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio equation looks like.

651.9577 = 4 \cdot \sqrt{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5})}^{2}

651.9577m² = 4 \cdot \sqrt{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5m⁻¹})}^{2}

651.9577 = 4 \cdot \sqrt{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5})}^{2}

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Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio?

FIRST Step Consider the formula

SA Total = 4 \cdot \sqrt{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot AV})}^{2}

Next Step Substitute values of Variables

∴

SA Total = 4 \cdot \sqrt{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5m⁻¹})}^{2}

Next Step Prepare to Evaluate

∴

SA Total = 4 \cdot \sqrt{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5})}^{2}

Next Step Evaluate

∴

SA Total = 651.957711121456m²

LAST Step Rounding Answer

∴

SA Total = 651.9577m²

Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio Formula Elements

Variables

Functions

TSA of Gyroelongated Square Dipyramid

TSA of Gyroelongated Square Dipyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Dipyramid.

Symbol: SA_Total

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find TSA of Gyroelongated Square Dipyramid

SA:V of Gyroelongated Square Dipyramid

SA:V of Gyroelongated Square Dipyramid is the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Gyroelongated Square Dipyramid

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 TSA of Gyroelongated Square Dipyramid

Go Total Surface Area of Gyroelongated Square Dipyramid

SA Total = 4 \cdot \sqrt{3} \cdot {l e}^{2}

Go Total Surface Area of Gyroelongated Square Dipyramid given Height

SA Total = 4 \cdot \sqrt{3} \cdot {(\frac{h}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}})}^{2}

Go Total Surface Area of Gyroelongated Square Dipyramid given Volume

SA Total = 4 \cdot \sqrt{3} \cdot {(\frac{3 \cdot V}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{2}{3}}

How to Evaluate Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio?

Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio evaluator uses TSA of Gyroelongated Square Dipyramid = 4*sqrt(3)*((12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid))^2 to evaluate the TSA of Gyroelongated Square Dipyramid, The Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Dipyramid and is calculated using the surface to volume ratio of the Gyroelongated Square Dipyramid. TSA of Gyroelongated Square Dipyramid is denoted by SA_Total symbol.

How to evaluate Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio, enter SA:V of Gyroelongated Square Dipyramid (AV) and hit the calculate button.

FAQs on Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio

What is the formula to find Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio?

The formula of Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio is expressed as TSA of Gyroelongated Square Dipyramid = 4*sqrt(3)*((12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid))^2. Here is an example- 651.9577 = 4*sqrt(3)*((12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*0.5))^2.

How to calculate Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio?

With SA:V of Gyroelongated Square Dipyramid (AV) we can find Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio using the formula - TSA of Gyroelongated Square Dipyramid = 4*sqrt(3)*((12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid))^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate TSA of Gyroelongated Square Dipyramid?

Here are the different ways to Calculate TSA of Gyroelongated Square Dipyramid-

TSA of Gyroelongated Square Dipyramid=4*sqrt(3)*Edge Length of Gyroelongated Square Dipyramid^2
TSA of Gyroelongated Square Dipyramid=4*sqrt(3)*(Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)))^2
TSA of Gyroelongated Square Dipyramid=4*sqrt(3)*((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(2/3)

Can the Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio be negative?

No, the Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio?

Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Gyroelongated Square Dipyramid given Surface to Volume Ratio can be measured.

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