Volume of Disphenoid Calculator

✖Side A of Disphenoid is the length of the first edge of any of the congruent triangular faces of the Disphenoid.ⓘ Side A of Disphenoid [S_a]			+10% -10%
✖Side B of Disphenoid is the length of the second edge of any of the congruent triangular faces of the Disphenoid.ⓘ Side B of Disphenoid [S_b]			+10% -10%
✖Side C of Disphenoid is the length of the third edge of any of the congruent triangular faces of the Disphenoid.ⓘ Side C of Disphenoid [S_c]			+10% -10%

✖Volume of Disphenoid is the quantity of three dimensional space enclosed by the entire surface of Disphenoid.ⓘ Volume of Disphenoid [V]

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Formula

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Volume of Disphenoid

Formula

`"V" = sqrt((("S"_{"a"}^2+"S"_{"b"}^2-"S"_{"c"}^2)*("S"_{"a"}^2-"S"_{"b"}^2+"S"_{"c"}^2)*(-"S"_{"a"}^2+"S"_{"b"}^2+"S"_{"c"}^2))/72)`

Example

`"217.0131m³"=sqrt(((("10m")^2+("13m")^2-("15m")^2)*(("10m")^2-("13m")^2+("15m")^2)*(-("10m")^2+("13m")^2+("15m")^2))/72)`

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Volume of Disphenoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
V = sqrt(((S_a^2+S_b^2-S_c^2)*(S_a^2-S_b^2+S_c^2)*(-S_a^2+S_b^2+S_c^2))/72)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Volume of Disphenoid - (Measured in Cubic Meter) - Volume of Disphenoid is the quantity of three dimensional space enclosed by the entire surface of Disphenoid.
Side A of Disphenoid - (Measured in Meter) - Side A of Disphenoid is the length of the first edge of any of the congruent triangular faces of the Disphenoid.
Side B of Disphenoid - (Measured in Meter) - Side B of Disphenoid is the length of the second edge of any of the congruent triangular faces of the Disphenoid.
Side C of Disphenoid - (Measured in Meter) - Side C of Disphenoid is the length of the third edge of any of the congruent triangular faces of the Disphenoid.

STEP 1: Convert Input(s) to Base Unit

Side A of Disphenoid: 10 Meter --> 10 Meter No Conversion Required
Side B of Disphenoid: 13 Meter --> 13 Meter No Conversion Required
Side C of Disphenoid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(((S_a^2+S_b^2-S_c^2)*(S_a^2-S_b^2+S_c^2)*(-S_a^2+S_b^2+S_c^2))/72) --> sqrt(((10^2+13^2-15^2)*(10^2-13^2+15^2)*(-10^2+13^2+15^2))/72)

Evaluating ... ...

V = 217.013056442848

STEP 3: Convert Result to Output's Unit

217.013056442848 Cubic Meter --> No Conversion Required

FINAL ANSWER

217.013056442848 ≈ 217.0131 Cubic Meter <-- Volume of Disphenoid

(Calculation completed in 00.008 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 1 Volume of Disphenoid Calculators

Volume of Disphenoid

Go 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)

Volume of Disphenoid Formula

What is a Disphenoid?

In geometry, a Disphenoid (from Greek sphenoeides, "wedgelike") is a tetrahedron whose four faces are congruent acute-angled triangles. It can also be described as a tetrahedron in which every two edges that are opposite each other have equal lengths. Other names for the same shape are sphenoid, bisphenoid, isosceles tetrahedron, equifacial tetrahedron, almost regular tetrahedron, and tetramonohedron.

All the solid angles and vertex figures of a disphenoid are the same, and the sum of the face angles at each vertex is equal to two right angles. However, a disphenoid is not a regular polyhedron, because, in general, its faces are not regular polygons, and its edges have three different lengths.

How to Calculate Volume of Disphenoid?

Volume of Disphenoid calculator 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 calculate 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 calculate Volume of Disphenoid using this online calculator? To use this online calculator 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. Here is how the Volume of Disphenoid calculation can be explained with given input values -> 217.0131 = sqrt(((10^2+13^2-15^2)*(10^2-13^2+15^2)*(-10^2+13^2+15^2))/72).

FAQ

What is Volume of Disphenoid?

The Volume of Disphenoid formula is defined as the quantity of three dimensional space enclosed by the entire surface of Disphenoid and is represented as V = sqrt(((S_a^2+S_b^2-S_c^2)*(S_a^2-S_b^2+S_c^2)*(-S_a^2+S_b^2+S_c^2))/72) or 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). Side A of Disphenoid is the length of the first edge of any of the congruent triangular faces of the Disphenoid, Side B of Disphenoid is the length of the second edge of any of the congruent triangular faces of the Disphenoid & Side C of Disphenoid is the length of the third edge of any of the congruent triangular faces of the Disphenoid.

How to calculate Volume of Disphenoid?

The Volume of Disphenoid formula is defined as the quantity of three dimensional space enclosed by the entire surface of Disphenoid is calculated using 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 calculate Volume of Disphenoid, you need Side A of Disphenoid (S_a), Side B of Disphenoid (S_b) & Side C of Disphenoid (S_c). With our tool, you need to enter the respective value for Side A of Disphenoid, Side B of Disphenoid & Side C of Disphenoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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