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Total Surface Area of Gyroelongated Square Pyramid given Height Formula

GoTotal Surface Area of Gyroelongated Square Pyramid Formula

GoTotal Surface Area of Gyroelongated Square Pyramid given Volume 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{h}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{2}

SA_Total - TSA of Gyroelongated Square Pyramid?h - Height of Gyroelongated Square Pyramid?

Total Surface Area of Gyroelongated Square Pyramid given Height Example

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

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

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

581.7828 = (1 + (3 \cdot \sqrt{3})) \cdot {(\frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{2}

581.7828m² = (1 + (3 \cdot \sqrt{3})) \cdot {(\frac{15m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{2}

581.7828 = (1 + (3 \cdot \sqrt{3})) \cdot {(\frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{2}

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Total Surface Area of Gyroelongated Square Pyramid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

SA Total = (1 + (3 \cdot \sqrt{3})) \cdot {(\frac{15m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{2}

Next Step Prepare to Evaluate

∴

SA Total = (1 + (3 \cdot \sqrt{3})) \cdot {(\frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{2}

Next Step Evaluate

∴

SA Total = 581.782836266155m²

LAST Step Rounding Answer

∴

SA Total = 581.7828m²

Total Surface Area of Gyroelongated Square Pyramid given Height 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

Height of Gyroelongated Square Pyramid

Height of Gyroelongated Square Pyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Square Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Volume

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}}

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 Height?

Total Surface Area of Gyroelongated Square Pyramid given Height evaluator uses TSA of Gyroelongated Square Pyramid = (1+(3*sqrt(3)))*(Height of Gyroelongated Square Pyramid/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)))^2 to evaluate the TSA of Gyroelongated Square Pyramid, The Total Surface Area of Gyroelongated Square Pyramid given Height 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 height 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 Height using this online evaluator? To use this online evaluator for Total Surface Area of Gyroelongated Square Pyramid given Height, enter Height of Gyroelongated Square Pyramid (h) and hit the calculate button.

FAQs on Total Surface Area of Gyroelongated Square Pyramid given Height

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

The formula of Total Surface Area of Gyroelongated Square Pyramid given Height is expressed as TSA of Gyroelongated Square Pyramid = (1+(3*sqrt(3)))*(Height of Gyroelongated Square Pyramid/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)))^2. Here is an example- 581.7828 = (1+(3*sqrt(3)))*(15/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)))^2.

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

With Height of Gyroelongated Square Pyramid (h) we can find Total Surface Area of Gyroelongated Square Pyramid given Height using the formula - TSA of Gyroelongated Square Pyramid = (1+(3*sqrt(3)))*(Height of Gyroelongated Square Pyramid/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)))^2. 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)))*((3*Volume of Gyroelongated Square Pyramid)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(2/3)
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 Height be negative?

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

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

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

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