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Volume of Equilateral Square Pyramid given Surface Area Formula

GoVolume of Equilateral Square Pyramid given Height Formula

GoVolume of Equilateral Square Pyramid Formula

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

V = (\frac{\sqrt{2}}{6}) \cdot {(\frac{TSA}{1 + \sqrt{3}})}^{\frac{3}{2}}

V - Volume of Equilateral Square Pyramid?TSA - Total Surface Area of Equilateral Square Pyramid?

Volume of Equilateral Square Pyramid given Surface Area Example

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

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

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

231.5668 = (\frac{\sqrt{2}}{6}) \cdot {(\frac{270}{1 + \sqrt{3}})}^{\frac{3}{2}}

231.5668m³ = (\frac{\sqrt{2}}{6}) \cdot {(\frac{270m²}{1 + \sqrt{3}})}^{\frac{3}{2}}

231.5668 = (\frac{\sqrt{2}}{6}) \cdot {(\frac{270}{1 + \sqrt{3}})}^{\frac{3}{2}}

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Volume of Equilateral Square Pyramid given Surface Area Solution

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

FIRST Step Consider the formula

V = (\frac{\sqrt{2}}{6}) \cdot {(\frac{TSA}{1 + \sqrt{3}})}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

V = (\frac{\sqrt{2}}{6}) \cdot {(\frac{270m²}{1 + \sqrt{3}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = (\frac{\sqrt{2}}{6}) \cdot {(\frac{270}{1 + \sqrt{3}})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 231.566769112983m³

LAST Step Rounding Answer

∴

V = 231.5668m³

Volume of Equilateral Square Pyramid given Surface Area Formula Elements

Variables

Functions

Volume of Equilateral Square Pyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Equilateral Square Pyramid

Total Surface Area of Equilateral Square Pyramid

Total Surface Area of Equilateral Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Equilateral Square Pyramid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Equilateral 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 Equilateral Square Pyramid

Go Volume of Equilateral Square Pyramid given Height

V = (\frac{2}{3}) \cdot h^{3}

Go Volume of Equilateral Square Pyramid

V = \frac{\sqrt{2}}{6} \cdot {l e}^{3}

Other formulas in Equilateral Square Pyramid category

Go Edge Length of Equilateral Square Pyramid given Height

l e = h \cdot \sqrt{2}

Go Edge Length of Equilateral Square Pyramid given Volume

l e = {(\frac{6 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}

Go Edge Length of Equilateral Square Pyramid given Surface Area

l e = {(\frac{TSA}{1 + \sqrt{3}})}^{\frac{1}{2}}

Go Height of Equilateral Pyramid given TSA

h = (\frac{1}{\sqrt{2}}) \cdot {(\frac{TSA}{1 + \sqrt{3}})}^{\frac{1}{2}}

How to Evaluate Volume of Equilateral Square Pyramid given Surface Area?

Volume of Equilateral Square Pyramid given Surface Area evaluator uses Volume of Equilateral Square Pyramid = (sqrt(2)/6)*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(3/2) to evaluate the Volume of Equilateral Square Pyramid, The Volume of Equilateral Square Pyramid given Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid using the TSA of the Square Pyramid. Volume of Equilateral Square Pyramid is denoted by V symbol.

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

FAQs on Volume of Equilateral Square Pyramid given Surface Area

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

The formula of Volume of Equilateral Square Pyramid given Surface Area is expressed as Volume of Equilateral Square Pyramid = (sqrt(2)/6)*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(3/2). Here is an example- 231.5668 = (sqrt(2)/6)*(270/(1+sqrt(3)))^(3/2).

How to calculate Volume of Equilateral Square Pyramid given Surface Area?

With Total Surface Area of Equilateral Square Pyramid (TSA) we can find Volume of Equilateral Square Pyramid given Surface Area using the formula - Volume of Equilateral Square Pyramid = (sqrt(2)/6)*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(3/2). This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Equilateral Square Pyramid=(2/3)*Height of Equilateral Square Pyramid^3
Volume of Equilateral Square Pyramid=sqrt(2)/6*Edge Length of Equilateral Square Pyramid^3

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

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

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

Volume of Equilateral Square Pyramid given Surface Area 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 Equilateral Square Pyramid given Surface Area can be measured.

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