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Surface to Volume Ratio of Disphhenoid Formula

GoSurface to Volume Ratio of Disphhenoid given Insphere Radius Formula

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The Surface to Volume Ratio of Disphenoid is the numerical ratio of the total surface area of Disphenoid to the volume of the Disphenoid. Check FAQs

R A/V = \frac{4 \cdot \sqrt{\frac{P}{8} \cdot (\frac{P}{8} - S a) \cdot (\frac{P}{8} - S b) \cdot (\frac{P}{8} - S c)}}{\sqrt{\frac{({S a}^{2} + {S b}^{2} - {S c}^{2}) \cdot ({S a}^{2} - {S b}^{2} + {S c}^{2}) \cdot (- {S a}^{2} + {S b}^{2} + {S c}^{2})}{72}}}

R_A/V - Surface to Volume Ratio of Disphenoid?P - Perimeter of Disphenoid?S_a - Side A of Disphenoid?S_b - Side B of Disphenoid?S_c - Side C of Disphenoid?

Surface to Volume Ratio of Disphhenoid Example

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Here is how the Surface to Volume Ratio of Disphhenoid equation looks like with Values.

Here is how the Surface to Volume Ratio of Disphhenoid equation looks like with Units.

Here is how the Surface to Volume Ratio of Disphhenoid equation looks like.

1.1808 = \frac{4 \cdot \sqrt{\frac{152}{8} \cdot (\frac{152}{8} - 10) \cdot (\frac{152}{8} - 13) \cdot (\frac{152}{8} - 15)}}{\sqrt{\frac{(10^{2} + 13^{2} - 15^{2}) \cdot (10^{2} - 13^{2} + 15^{2}) \cdot (- 10^{2} + 13^{2} + 15^{2})}{72}}}

1.1808m⁻¹ = \frac{4 \cdot \sqrt{\frac{152m}{8} \cdot (\frac{152m}{8} - 10m) \cdot (\frac{152m}{8} - 13m) \cdot (\frac{152m}{8} - 15m)}}{\sqrt{\frac{({10m}^{2} + {13m}^{2} - {15m}^{2}) \cdot ({10m}^{2} - {13m}^{2} + {15m}^{2}) \cdot (- {10m}^{2} + {13m}^{2} + {15m}^{2})}{72}}}

1.1808 = \frac{4 \cdot \sqrt{\frac{152}{8} \cdot (\frac{152}{8} - 10) \cdot (\frac{152}{8} - 13) \cdot (\frac{152}{8} - 15)}}{\sqrt{\frac{(10^{2} + 13^{2} - 15^{2}) \cdot (10^{2} - 13^{2} + 15^{2}) \cdot (- 10^{2} + 13^{2} + 15^{2})}{72}}}

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3D Geometry » fx Surface to Volume Ratio of Disphhenoid

Surface to Volume Ratio of Disphhenoid Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Disphhenoid?

FIRST Step Consider the formula

R A/V = \frac{4 \cdot \sqrt{\frac{P}{8} \cdot (\frac{P}{8} - S a) \cdot (\frac{P}{8} - S b) \cdot (\frac{P}{8} - S c)}}{\sqrt{\frac{({S a}^{2} + {S b}^{2} - {S c}^{2}) \cdot ({S a}^{2} - {S b}^{2} + {S c}^{2}) \cdot (- {S a}^{2} + {S b}^{2} + {S c}^{2})}{72}}}

Next Step Substitute values of Variables

∴

R A/V = \frac{4 \cdot \sqrt{\frac{152m}{8} \cdot (\frac{152m}{8} - 10m) \cdot (\frac{152m}{8} - 13m) \cdot (\frac{152m}{8} - 15m)}}{\sqrt{\frac{({10m}^{2} + {13m}^{2} - {15m}^{2}) \cdot ({10m}^{2} - {13m}^{2} + {15m}^{2}) \cdot (- {10m}^{2} + {13m}^{2} + {15m}^{2})}{72}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{4 \cdot \sqrt{\frac{152}{8} \cdot (\frac{152}{8} - 10) \cdot (\frac{152}{8} - 13) \cdot (\frac{152}{8} - 15)}}{\sqrt{\frac{(10^{2} + 13^{2} - 15^{2}) \cdot (10^{2} - 13^{2} + 15^{2}) \cdot (- 10^{2} + 13^{2} + 15^{2})}{72}}}

Next Step Evaluate

∴

R A/V = 1.180803967508m⁻¹

LAST Step Rounding Answer

∴

R A/V = 1.1808m⁻¹

Surface to Volume Ratio of Disphhenoid Formula Elements

Variables

Functions

Surface to Volume Ratio of Disphenoid

The Surface to Volume Ratio of Disphenoid is the numerical ratio of the total surface area of Disphenoid to the volume of the Disphenoid.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Disphenoid

Perimeter of Disphenoid

Perimeter of Disphenoid is the total distance around the edge of the Disphenoid.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Disphenoid

Side A of Disphenoid

Side A of Disphenoid is the length of the first edge of any of the congruent triangular faces of the Disphenoid.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Disphenoid

Side B of Disphenoid

Side B of Disphenoid is the length of the second edge of any of the congruent triangular faces of the Disphenoid.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Disphenoid

Side C of Disphenoid

Side C of Disphenoid is the length of the third edge of any of the congruent triangular faces of the Disphenoid.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Disphenoid

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 Surface to Volume Ratio of Disphenoid

Go Surface to Volume Ratio of Disphhenoid given Insphere Radius

R A/V = \frac{3}{r i}

How to Evaluate Surface to Volume Ratio of Disphhenoid?

Surface to Volume Ratio of Disphhenoid evaluator uses Surface to Volume Ratio of Disphenoid = (4*sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid)))/sqrt(((Side A of Disphenoid^2+Side B of Disphenoid^2-Side C of Disphenoid^2)*(Side A of Disphenoid^2-Side B of Disphenoid^2+Side C of Disphenoid^2)*(-Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2))/72) to evaluate the Surface to Volume Ratio of Disphenoid, The Surface to Volume Ratio of Disphhenoid formula is defined as the numerical ratio of the total surface area of Disphenoid to the volume of the Disphenoid. Surface to Volume Ratio of Disphenoid is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Disphhenoid using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Disphhenoid, enter Perimeter of Disphenoid (P), Side A of Disphenoid (S_a), Side B of Disphenoid (S_b) & Side C of Disphenoid (S_c) and hit the calculate button.

FAQs on Surface to Volume Ratio of Disphhenoid

What is the formula to find Surface to Volume Ratio of Disphhenoid?

The formula of Surface to Volume Ratio of Disphhenoid is expressed as Surface to Volume Ratio of Disphenoid = (4*sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid)))/sqrt(((Side A of Disphenoid^2+Side B of Disphenoid^2-Side C of Disphenoid^2)*(Side A of Disphenoid^2-Side B of Disphenoid^2+Side C of Disphenoid^2)*(-Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2))/72). Here is an example- 1.180804 = (4*sqrt(152/8*(152/8-10)*(152/8-13)*(152/8-15)))/sqrt(((10^2+13^2-15^2)*(10^2-13^2+15^2)*(-10^2+13^2+15^2))/72).

How to calculate Surface to Volume Ratio of Disphhenoid?

With Perimeter of Disphenoid (P), Side A of Disphenoid (S_a), Side B of Disphenoid (S_b) & Side C of Disphenoid (S_c) we can find Surface to Volume Ratio of Disphhenoid using the formula - Surface to Volume Ratio of Disphenoid = (4*sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid)))/sqrt(((Side A of Disphenoid^2+Side B of Disphenoid^2-Side C of Disphenoid^2)*(Side A of Disphenoid^2-Side B of Disphenoid^2+Side C of Disphenoid^2)*(-Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2))/72). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Disphenoid?

Here are the different ways to Calculate Surface to Volume Ratio of Disphenoid-

Surface to Volume Ratio of Disphenoid=3/Insphere Radius of Disphenoid

Can the Surface to Volume Ratio of Disphhenoid be negative?

No, the Surface to Volume Ratio of Disphhenoid, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Disphhenoid?

Surface to Volume Ratio of Disphhenoid is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Disphhenoid can be measured.

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Surface to Volume Ratio of Disphhenoid Formula

​GoSurface to Volume Ratio of Disphhenoid given Insphere Radius Formula

Surface to Volume Ratio of Disphhenoid Example

Surface to Volume Ratio of Disphhenoid Solution

Surface to Volume Ratio of Disphhenoid Formula Elements

Other Formulas to find Surface to Volume Ratio of Disphenoid

How to Evaluate Surface to Volume Ratio of Disphhenoid?

FAQs on Surface to Volume Ratio of Disphhenoid

Variable Name

GoSurface to Volume Ratio of Disphhenoid given Insphere Radius Formula