Surface to Volume Ratio of Disphhenoid Calculator

✖Perimeter of Disphenoid is the total distance around the edge of the Disphenoid.ⓘ Perimeter of Disphenoid [P]			+10% -10%
✖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%

✖The Surface to Volume Ratio of Disphenoid is the numerical ratio of the total surface area of Disphenoid to the volume of the Disphenoid.ⓘ Surface to Volume Ratio of Disphhenoid [R_A/V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Surface to Volume Ratio of Disphhenoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_A/V = (4*sqrt(P/8*(P/8-S_a)*(P/8-S_b)*(P/8-S_c)))/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, 5 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

Surface to Volume Ratio of Disphenoid - (Measured in 1 per Meter) - The Surface to Volume Ratio of Disphenoid is the numerical ratio of the total surface area of Disphenoid to the volume of the Disphenoid.
Perimeter of Disphenoid - (Measured in Meter) - Perimeter of Disphenoid is the total distance around the edge of the 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

Perimeter of Disphenoid: 152 Meter --> 152 Meter No Conversion Required
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

R_A/V = (4*sqrt(P/8*(P/8-S_a)*(P/8-S_b)*(P/8-S_c)))/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) --> (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)

Evaluating ... ...

R_A/V = 1.180803967508

STEP 3: Convert Result to Output's Unit

1.180803967508 1 per Meter --> No Conversion Required

FINAL ANSWER

1.180803967508 ≈ 1.180804 1 per Meter <-- Surface to Volume Ratio of Disphenoid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Disphenoid » Surface to Volume Ratio of Disphhenoid » Surface to Volume Ratio of Disphhenoid

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Calculator and 400+ more calculators!

< Surface to Volume Ratio of Disphhenoid Calculators

Surface to Volume Ratio of Disphhenoid

LaTeX Go 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)

Surface to Volume Ratio of Disphhenoid given Insphere Radius

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

Surface to Volume Ratio of Disphhenoid Formula

LaTeX Go

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 Surface to Volume Ratio of Disphhenoid?

Surface to Volume Ratio of Disphhenoid calculator 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 calculate 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 calculate Surface to Volume Ratio of Disphhenoid using this online calculator? To use this online calculator 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. Here is how the Surface to Volume Ratio of Disphhenoid calculation can be explained with given input values -> 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).

FAQ

What is Surface to Volume Ratio of Disphhenoid?

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 and is represented as R_A/V = (4*sqrt(P/8*(P/8-S_a)*(P/8-S_b)*(P/8-S_c)))/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 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). Perimeter of Disphenoid is the total distance around the edge of the Disphenoid, 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 Surface to Volume Ratio of Disphhenoid?

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 is calculated using 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 calculate Surface to Volume Ratio of Disphhenoid, you need Perimeter of Disphenoid (P), 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 Perimeter of Disphenoid, 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.

How many ways are there to calculate Surface to Volume Ratio of Disphenoid?

In this formula, Surface to Volume Ratio of Disphenoid uses Perimeter of Disphenoid, Side A of Disphenoid, Side B of Disphenoid & Side C of Disphenoid. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search