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Volume of Disphenoid Formula

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Volume of Disphenoid is the quantity of three dimensional space enclosed by the entire surface of Disphenoid. Check FAQs

V = \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}}

V - Volume of Disphenoid?S_a - Side A of Disphenoid?S_b - Side B of Disphenoid?S_c - Side C of Disphenoid?

Volume of Disphenoid Example

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Here is how the Volume of Disphenoid equation looks like with Values.

Here is how the Volume of Disphenoid equation looks like with Units.

Here is how the Volume of Disphenoid equation looks like.

217.0131 = \sqrt{\frac{(10^{2} + 13^{2} - 15^{2}) \cdot (10^{2} - 13^{2} + 15^{2}) \cdot (- 10^{2} + 13^{2} + 15^{2})}{72}}

217.0131m³ = \sqrt{\frac{({10m}^{2} + {13m}^{2} - {15m}^{2}) \cdot ({10m}^{2} - {13m}^{2} + {15m}^{2}) \cdot (- {10m}^{2} + {13m}^{2} + {15m}^{2})}{72}}

217.0131 = \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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Volume of Disphenoid Solution

Follow our step by step solution on how to calculate Volume of Disphenoid?

FIRST Step Consider the formula

V = \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

∴

V = \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

∴

V = \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

∴

V = 217.013056442848m³

LAST Step Rounding Answer

∴

V = 217.0131m³

Volume of Disphenoid Formula Elements

Variables

Functions

Volume of Disphenoid

Volume of Disphenoid is the quantity of three dimensional space enclosed by the entire surface of Disphenoid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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)

How to Evaluate Volume of Disphenoid?

Volume of Disphenoid evaluator uses Volume 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 Volume of Disphenoid, The Volume of Disphenoid formula is defined as the quantity of three dimensional space enclosed by the entire surface of Disphenoid. Volume of Disphenoid is denoted by V symbol.

How to evaluate Volume of Disphenoid using this online evaluator? To use this online evaluator for Volume of Disphenoid, enter 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 Volume of Disphenoid

What is the formula to find Volume of Disphenoid?

The formula of Volume of Disphenoid is expressed as Volume 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- 217.0131 = sqrt(((10^2+13^2-15^2)*(10^2-13^2+15^2)*(-10^2+13^2+15^2))/72).

How to calculate Volume of Disphenoid?

With Side A of Disphenoid (S_a), Side B of Disphenoid (S_b) & Side C of Disphenoid (S_c) we can find Volume of Disphenoid using the formula - Volume 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).

Can the Volume of Disphenoid be negative?

No, the Volume of Disphenoid, measured in Volume cannot be negative.

Which unit is used to measure Volume of Disphenoid?

Volume of Disphenoid 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 Disphenoid can be measured.

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Volume of Disphenoid Formula

Volume of Disphenoid Example

Volume of Disphenoid Solution

Volume of Disphenoid Formula Elements

How to Evaluate Volume of Disphenoid?

FAQs on Volume of Disphenoid

Variable Name