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Total Surface Area of Gyroelongated Square Pyramid given Volume Formula

GoTotal Surface Area of Gyroelongated Square Pyramid Formula

GoTotal Surface Area of Gyroelongated Square Pyramid given Height Formula

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

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

SA_Total - TSA of Gyroelongated Square Pyramid?V - Volume of Gyroelongated Square Pyramid?

Total Surface Area of Gyroelongated Square Pyramid given Volume Example

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

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

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

622.1402 = (1 + (3 \cdot \sqrt{3})) \cdot {(\frac{3 \cdot 1200}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{2}{3}}

622.1402m² = (1 + (3 \cdot \sqrt{3})) \cdot {(\frac{3 \cdot 1200m³}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{2}{3}}

622.1402 = (1 + (3 \cdot \sqrt{3})) \cdot {(\frac{3 \cdot 1200}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{2}{3}}

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Total Surface Area of Gyroelongated Square Pyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

SA Total = (1 + (3 \cdot \sqrt{3})) \cdot {(\frac{3 \cdot 1200m³}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

SA Total = (1 + (3 \cdot \sqrt{3})) \cdot {(\frac{3 \cdot 1200}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{2}{3}}

Next Step Evaluate

∴

SA Total = 622.140154772141m²

LAST Step Rounding Answer

∴

SA Total = 622.1402m²

Total Surface Area of Gyroelongated Square Pyramid given Volume Formula Elements

Variables

Functions

TSA of Gyroelongated Square Pyramid

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

Symbol: SA_Total

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find TSA of Gyroelongated Square Pyramid

Volume of Gyroelongated Square Pyramid

Volume of Gyroelongated Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Pyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Gyroelongated Square 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 TSA of Gyroelongated Square Pyramid

Go Total Surface Area of Gyroelongated Square Pyramid

SA Total = (1 + (3 \cdot \sqrt{3})) \cdot {l e}^{2}

Go Total Surface Area of Gyroelongated Square Pyramid given Height

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

Go Total Surface Area of Gyroelongated Square Pyramid given Surface to Volume Ratio

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

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

Total Surface Area of Gyroelongated Square Pyramid given Volume evaluator uses TSA of Gyroelongated Square Pyramid = (1+(3*sqrt(3)))*((3*Volume of Gyroelongated Square Pyramid)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(2/3) to evaluate the TSA of Gyroelongated Square Pyramid, The Total Surface Area of Gyroelongated Square Pyramid given Volume formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Pyramid and is calculated using the volume of the Gyroelongated Square Pyramid. TSA of Gyroelongated Square Pyramid is denoted by SA_Total symbol.

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

FAQs on Total Surface Area of Gyroelongated Square Pyramid given Volume

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

The formula of Total Surface Area of Gyroelongated Square Pyramid given Volume is expressed as TSA of Gyroelongated Square Pyramid = (1+(3*sqrt(3)))*((3*Volume of Gyroelongated Square Pyramid)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(2/3). Here is an example- 622.1402 = (1+(3*sqrt(3)))*((3*1200)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(2/3).

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

With Volume of Gyroelongated Square Pyramid (V) we can find Total Surface Area of Gyroelongated Square Pyramid given Volume using the formula - TSA of Gyroelongated Square Pyramid = (1+(3*sqrt(3)))*((3*Volume of Gyroelongated Square Pyramid)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(2/3). This formula also uses Square Root (sqrt) function(s).

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

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

TSA of Gyroelongated Square Pyramid=(1+(3*sqrt(3)))*Edge Length of Gyroelongated Square Pyramid^2
TSA of Gyroelongated Square Pyramid=(1+(3*sqrt(3)))*(Height of Gyroelongated Square Pyramid/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)))^2
TSA of Gyroelongated Square Pyramid=(1+(3*sqrt(3)))*((1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*SA:V of Gyroelongated Square Pyramid))^2

Can the Total Surface Area of Gyroelongated Square Pyramid given Volume be negative?

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

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

Total Surface Area of Gyroelongated Square Pyramid given Volume 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 Pyramid given Volume can be measured.

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