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Volume of Rhombic Dodecahedron given Total Surface Area Formula

GoVolume of Rhombic Dodecahedron Formula

GoVolume of Rhombic Dodecahedron given Midsphere Radius Formula

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Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron. Check FAQs

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{TSA}{8 \cdot \sqrt{2}})}^{\frac{3}{2}}

V - Volume of Rhombic Dodecahedron?TSA - Total Surface Area of Rhombic Dodecahedron?

Volume of Rhombic Dodecahedron given Total Surface Area Example

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Here is how the Volume of Rhombic Dodecahedron given Total Surface Area equation looks like with Values.

Here is how the Volume of Rhombic Dodecahedron given Total Surface Area equation looks like with Units.

Here is how the Volume of Rhombic Dodecahedron given Total Surface Area equation looks like.

3155.5668 = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{1150}{8 \cdot \sqrt{2}})}^{\frac{3}{2}}

3155.5668m³ = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{1150m²}{8 \cdot \sqrt{2}})}^{\frac{3}{2}}

3155.5668 = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{1150}{8 \cdot \sqrt{2}})}^{\frac{3}{2}}

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Volume of Rhombic Dodecahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Volume of Rhombic Dodecahedron given Total Surface Area?

FIRST Step Consider the formula

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{TSA}{8 \cdot \sqrt{2}})}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{1150m²}{8 \cdot \sqrt{2}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{1150}{8 \cdot \sqrt{2}})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 3155.56684148572m³

LAST Step Rounding Answer

∴

V = 3155.5668m³

Volume of Rhombic Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Volume of Rhombic Dodecahedron

Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombic Dodecahedron

Total Surface Area of Rhombic Dodecahedron

Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Rhombic Dodecahedron

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 Rhombic Dodecahedron

Go Volume of Rhombic Dodecahedron

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {l e}^{3}

Go Volume of Rhombic Dodecahedron given Midsphere Radius

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{3 \cdot r m}{2 \cdot \sqrt{2}})}^{3}

Go Volume of Rhombic Dodecahedron given Surface to Volume Ratio

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{9 \cdot \sqrt{2}}{2 \cdot \sqrt{3} \cdot R A/V})}^{3}

Go Volume of Rhombic Dodecahedron given Insphere Radius

V = 4 \cdot \sqrt{2} \cdot {r i}^{3}

How to Evaluate Volume of Rhombic Dodecahedron given Total Surface Area?

Volume of Rhombic Dodecahedron given Total Surface Area evaluator uses Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2) to evaluate the Volume of Rhombic Dodecahedron, The Volume of Rhombic Dodecahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using total surface area of Rhombic Dodecahedron. Volume of Rhombic Dodecahedron is denoted by V symbol.

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

FAQs on Volume of Rhombic Dodecahedron given Total Surface Area

What is the formula to find Volume of Rhombic Dodecahedron given Total Surface Area?

The formula of Volume of Rhombic Dodecahedron given Total Surface Area is expressed as Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2). Here is an example- 3155.567 = (16*sqrt(3))/9*((1150)/(8*sqrt(2)))^(3/2).

How to calculate Volume of Rhombic Dodecahedron given Total Surface Area?

With Total Surface Area of Rhombic Dodecahedron (TSA) we can find Volume of Rhombic Dodecahedron given Total Surface Area using the formula - Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Rhombic Dodecahedron?

Here are the different ways to Calculate Volume of Rhombic Dodecahedron-

Volume of Rhombic Dodecahedron=(16*sqrt(3))/9*Edge Length of Rhombic Dodecahedron^3
Volume of Rhombic Dodecahedron=(16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3
Volume of Rhombic Dodecahedron=(16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3

Can the Volume of Rhombic Dodecahedron given Total Surface Area be negative?

No, the Volume of Rhombic Dodecahedron given Total Surface Area, measured in Volume cannot be negative.

Which unit is used to measure Volume of Rhombic Dodecahedron given Total Surface Area?

Volume of Rhombic Dodecahedron 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 Rhombic Dodecahedron given Total Surface Area can be measured.

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