Volume of Disheptahedron given Surface to Volume Ratio Calculator

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

+10%

-10%

✖Volume of Disheptahedron is the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron.ⓘ Volume of Disheptahedron given Surface to Volume Ratio [V]

⎘ Copy

👎

Formula

✖

Volume of Disheptahedron given Surface to Volume Ratio

Formula

`"V" = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*"R"_{"A/V"}))^3`

Example

`"2384.134m³"=5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*"0.4m⁻¹"))^3`

Calculator

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Volume of Disheptahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Disheptahedron = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron))^3
V = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V))^3
This formula uses 1 Functions, 2 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 Disheptahedron - (Measured in Cubic Meter) - Volume of Disheptahedron is the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron.
Surface to Volume Ratio of Disheptahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Disheptahedron is the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Disheptahedron: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V))^3 --> 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*0.4))^3

Evaluating ... ...

V = 2384.13429510899

STEP 3: Convert Result to Output's Unit

2384.13429510899 Cubic Meter --> No Conversion Required

FINAL ANSWER

2384.13429510899 ≈ 2384.134 Cubic Meter <-- Volume of Disheptahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Disheptahedron » Volume of Disheptahedron » Volume of Disheptahedron given Surface to Volume Ratio

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 5 Volume of Disheptahedron Calculators

Volume of Disheptahedron given Surface to Volume Ratio

Go Volume of Disheptahedron = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron))^3

Volume of Disheptahedron given Total Surface Area

Go Volume of Disheptahedron = 5/3*sqrt(2)*(sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))))^3

Volume of Disheptahedron given Midsphere Radius

Go Volume of Disheptahedron = 5/3*sqrt(2)*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^3

Volume of Disheptahedron given Circumsphere Radius

Go Volume of Disheptahedron = 5/3*sqrt(2)*Circumsphere Radius of Disheptahedron^3

Volume of Disheptahedron

Go Volume of Disheptahedron = 5/3*sqrt(2)*Edge Length of Disheptahedron^3

Volume of Disheptahedron given Surface to Volume Ratio Formula

Volume of Disheptahedron = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron))^3
V = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V))^3

What is a Disheptahedron?

A Disheptahedron is a symmetric, closed, and convex polyhedron, which is the Johnson solid generally denoted by J27. It is also called anticuboctahedron or twisted cuboctahedron or triangular orthobicupola. It has 14 faces which include 8 equilateral triangular faces and 6 square faces. Also, It has 24 edges and 12 vertices.

How to Calculate Volume of Disheptahedron given Surface to Volume Ratio?

Volume of Disheptahedron given Surface to Volume Ratio calculator uses Volume of Disheptahedron = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron))^3 to calculate the Volume of Disheptahedron, The Volume of Disheptahedron given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron and is calculated using the surface to volume ratio of the Disheptahedron. Volume of Disheptahedron is denoted by V symbol.

How to calculate Volume of Disheptahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Disheptahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Disheptahedron (R_A/V) and hit the calculate button. Here is how the Volume of Disheptahedron given Surface to Volume Ratio calculation can be explained with given input values -> 2384.134 = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*0.4))^3.

FAQ

What is Volume of Disheptahedron given Surface to Volume Ratio?

The Volume of Disheptahedron given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron and is calculated using the surface to volume ratio of the Disheptahedron and is represented as V = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V))^3 or Volume of Disheptahedron = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron))^3. Surface to Volume Ratio of Disheptahedron is the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron.

How to calculate Volume of Disheptahedron given Surface to Volume Ratio?

The Volume of Disheptahedron given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron and is calculated using the surface to volume ratio of the Disheptahedron is calculated using Volume of Disheptahedron = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron))^3. To calculate Volume of Disheptahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Disheptahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Disheptahedron 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 Volume of Disheptahedron?

In this formula, Volume of Disheptahedron uses Surface to Volume Ratio of Disheptahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Volume of Disheptahedron = 5/3*sqrt(2)*Edge Length of Disheptahedron^3
Volume of Disheptahedron = 5/3*sqrt(2)*(sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))))^3
Volume of Disheptahedron = 5/3*sqrt(2)*Circumsphere Radius of Disheptahedron^3
Volume of Disheptahedron = 5/3*sqrt(2)*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^3

Home

FREE PDFs

🔍 Search