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Volume of Elongated Triangular Pyramid given Total Surface Area Formula

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

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\sqrt{\frac{TSA}{3 + \sqrt{3}}})}^{3}

V - Volume of Elongated Triangular Pyramid?TSA - Total Surface Area of Elongated Triangular Pyramid?

Volume of Elongated Triangular Pyramid given Total Surface Area Example

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

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

Here is how the Volume of Elongated Triangular Pyramid given Total Surface Area equation looks like.

510.8447 = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\sqrt{\frac{450}{3 + \sqrt{3}}})}^{3}

510.8447m³ = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\sqrt{\frac{450m²}{3 + \sqrt{3}}})}^{3}

510.8447 = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\sqrt{\frac{450}{3 + \sqrt{3}}})}^{3}

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Volume of Elongated Triangular Pyramid given Total Surface Area Solution

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

FIRST Step Consider the formula

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\sqrt{\frac{TSA}{3 + \sqrt{3}}})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\sqrt{\frac{450m²}{3 + \sqrt{3}}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\sqrt{\frac{450}{3 + \sqrt{3}}})}^{3}

Next Step Evaluate

∴

V = 510.844746154731m³

LAST Step Rounding Answer

∴

V = 510.8447m³

Volume of Elongated Triangular Pyramid given Total Surface Area Formula Elements

Variables

Functions

Volume of Elongated Triangular Pyramid

Volume of Elongated Triangular Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Elongated Triangular Pyramid

Total Surface Area of Elongated Triangular Pyramid

Total Surface Area of Elongated Triangular Pyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Pyramid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Elongated Triangular 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 Elongated Triangular Pyramid

Go Volume of Elongated Triangular Pyramid

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {l e}^{3}

Go Volume of Elongated Triangular Pyramid given Height

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{h}{\frac{\sqrt{6}}{3} + 1})}^{3}

Go Volume of Elongated Triangular Pyramid given Surface to Volume Ratio

V = \frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot {(\frac{3 + \sqrt{3}}{\frac{\sqrt{2} + (3 \cdot \sqrt{3})}{12} \cdot AV})}^{3}

How to Evaluate Volume of Elongated Triangular Pyramid given Total Surface Area?

Volume of Elongated Triangular Pyramid given Total Surface Area evaluator uses Volume of Elongated Triangular Pyramid = (sqrt(2)+(3*sqrt(3)))/12*(sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3))))^3 to evaluate the Volume of Elongated Triangular Pyramid, The Volume of Elongated Triangular Pyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid and is calculated using the total surface area of the Elongated Triangular Pyramid. Volume of Elongated Triangular Pyramid is denoted by V symbol.

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

FAQs on Volume of Elongated Triangular Pyramid given Total Surface Area

What is the formula to find Volume of Elongated Triangular Pyramid given Total Surface Area?

The formula of Volume of Elongated Triangular Pyramid given Total Surface Area is expressed as Volume of Elongated Triangular Pyramid = (sqrt(2)+(3*sqrt(3)))/12*(sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3))))^3. Here is an example- 510.8447 = (sqrt(2)+(3*sqrt(3)))/12*(sqrt(450/(3+sqrt(3))))^3.

How to calculate Volume of Elongated Triangular Pyramid given Total Surface Area?

With Total Surface Area of Elongated Triangular Pyramid (TSA) we can find Volume of Elongated Triangular Pyramid given Total Surface Area using the formula - Volume of Elongated Triangular Pyramid = (sqrt(2)+(3*sqrt(3)))/12*(sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3))))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Elongated Triangular Pyramid?

Here are the different ways to Calculate Volume of Elongated Triangular Pyramid-

Volume of Elongated Triangular Pyramid=(sqrt(2)+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Pyramid^3
Volume of Elongated Triangular Pyramid=(sqrt(2)+(3*sqrt(3)))/12*(Height of Elongated Triangular Pyramid/(sqrt(6)/3+1))^3
Volume of Elongated Triangular Pyramid=(sqrt(2)+(3*sqrt(3)))/12*((3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*SA:V of Elongated Triangular Pyramid))^3

Can the Volume of Elongated Triangular Pyramid given Total Surface Area be negative?

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

Which unit is used to measure Volume of Elongated Triangular Pyramid given Total Surface Area?

Volume of Elongated Triangular Pyramid given Total 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 Elongated Triangular Pyramid given Total Surface Area can be measured.

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