FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Volume of Gyroelongated Square Pyramid given Height Formula

GoVolume of Gyroelongated Square Pyramid Formula

GoVolume of Gyroelongated Square Pyramid given Total Surface Area Formula

Fx Copy

LaTeX Copy

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

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

V - Volume of Gyroelongated Square Pyramid?h - Height of Gyroelongated Square Pyramid?

Volume of Gyroelongated Square Pyramid given Height Example

With values

With units

Only example

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

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

Here is how the Volume of Gyroelongated Square Pyramid given Height equation looks like.

1085.1512 = \frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3} \cdot {(\frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{3}

1085.1512m³ = \frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3} \cdot {(\frac{15m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{3}

1085.1512 = \frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3} \cdot {(\frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{3}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Volume of Gyroelongated Square Pyramid given Height

Volume of Gyroelongated Square Pyramid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3} \cdot {(\frac{15m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3} \cdot {(\frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}})}^{3}

Next Step Evaluate

∴

V = 1085.15119633055m³

LAST Step Rounding Answer

∴

V = 1085.1512m³

Volume of Gyroelongated Square Pyramid given Height Formula Elements

Variables

Functions

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

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 Volume of Gyroelongated Square Pyramid

Go Volume of Gyroelongated Square Pyramid

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

Go Volume of Gyroelongated Square Pyramid given Total Surface Area

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

Go Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio

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

How to Evaluate Volume of Gyroelongated Square Pyramid given Height?

Volume of Gyroelongated Square Pyramid given Height evaluator uses Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*(Height of Gyroelongated Square Pyramid/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)))^3 to evaluate the Volume of Gyroelongated Square Pyramid, The Volume of Gyroelongated Square Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Pyramid and is calculated using the height of the Gyroelongated Square Pyramid. Volume of Gyroelongated Square Pyramid is denoted by V symbol.

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

FAQs on Volume of Gyroelongated Square Pyramid given Height

What is the formula to find Volume of Gyroelongated Square Pyramid given Height?

The formula of Volume of Gyroelongated Square Pyramid given Height is expressed as Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*(Height of Gyroelongated Square Pyramid/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)))^3. Here is an example- 1085.151 = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*(15/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)))^3.

How to calculate Volume of Gyroelongated Square Pyramid given Height?

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

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

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

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

Can the Volume of Gyroelongated Square Pyramid given Height be negative?

No, the Volume of Gyroelongated Square Pyramid given Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Gyroelongated Square Pyramid given Height?

Volume of Gyroelongated Square Pyramid given Height is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Gyroelongated Square Pyramid given Height can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit