Hypervolume of Tesseract given Surface Volume Calculator

✖The Surface Volume of Tesseract is the volume of the surface of the Tesseract which is the 4D extension of cube in 3D and square in 2D.ⓘ Surface Volume of Tesseract [V_Surface]

+10%

-10%

✖The Hypervolume of Tesseract is the 4-dimensional volume of the 4D object Tesseract which is the 4D extension of the cube in 3D and a square in 2D.ⓘ Hypervolume of Tesseract given Surface Volume [V_Hyper]

⎘ Copy

👎

Formula

✖

Hypervolume of Tesseract given Surface Volume

Formula

`"V"_{"Hyper"} = ("V"_{"Surface"}/8)^(4/3)`

Example

`"625m⁴"=("1000m³"/8)^(4/3)`

Calculator

LaTeX

Reset

👍

Download Geometry Formula PDF PDF Image

Hypervolume of Tesseract given Surface Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hypervolume of Tesseract = (Surface Volume of Tesseract/8)^(4/3)
V_Hyper = (V_Surface/8)^(4/3)
This formula uses 2 Variables

Variables Used

Hypervolume of Tesseract - (Measured in Meter⁴) - The Hypervolume of Tesseract is the 4-dimensional volume of the 4D object Tesseract which is the 4D extension of the cube in 3D and a square in 2D.
Surface Volume of Tesseract - (Measured in Cubic Meter) - The Surface Volume of Tesseract is the volume of the surface of the Tesseract which is the 4D extension of cube in 3D and square in 2D.

STEP 1: Convert Input(s) to Base Unit

Surface Volume of Tesseract: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_Hyper = (V_Surface/8)^(4/3) --> (1000/8)^(4/3)

Evaluating ... ...

V_Hyper = 625

STEP 3: Convert Result to Output's Unit

625 Meter⁴ --> No Conversion Required

FINAL ANSWER

625 Meter⁴ <-- Hypervolume of Tesseract

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 4D Geometry » Tesseract » Hypervolume of Tesseract » Hypervolume of Tesseract given Surface Volume

Credits

Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

Divanshi Jain has created this Calculator and 300+ 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!

< 3 Hypervolume of Tesseract Calculators

Hypervolume of Tesseract given Surface Volume

Go Hypervolume of Tesseract = (Surface Volume of Tesseract/8)^(4/3)

Hypervolume of Tesseract given Surface Area

Go Hypervolume of Tesseract = Surface Area of Tesseract^2/576

Hypervolume of Tesseract

Go Hypervolume of Tesseract = Edge Length of Tesseract^4

Hypervolume of Tesseract given Surface Volume Formula

Hypervolume of Tesseract = (Surface Volume of Tesseract/8)^(4/3)
V_Hyper = (V_Surface/8)^(4/3)

What is a Tesseract?

This is a four-dimensional hypercube, the expansion of square (2D) and cube (3D) into a fourth dimension of space. This doesn't exist in our three-dimensional world, but calculations regarding Tesseract can easily be done by extending the formulas from 3D to 4D.

How to Calculate Hypervolume of Tesseract given Surface Volume?

Hypervolume of Tesseract given Surface Volume calculator uses Hypervolume of Tesseract = (Surface Volume of Tesseract/8)^(4/3) to calculate the Hypervolume of Tesseract, The Hypervolume of Tesseract given Surface Volume formula is defined as the 4-dimensional volume of the 4D object Tesseract which is the 4D extension of the cube in 3D and a square in 2D, calculated using surface volume of Tesseract. Hypervolume of Tesseract is denoted by V_Hyper symbol.

How to calculate Hypervolume of Tesseract given Surface Volume using this online calculator? To use this online calculator for Hypervolume of Tesseract given Surface Volume, enter Surface Volume of Tesseract (V_Surface) and hit the calculate button. Here is how the Hypervolume of Tesseract given Surface Volume calculation can be explained with given input values -> 625 = (1000/8)^(4/3).

FAQ

What is Hypervolume of Tesseract given Surface Volume?

The Hypervolume of Tesseract given Surface Volume formula is defined as the 4-dimensional volume of the 4D object Tesseract which is the 4D extension of the cube in 3D and a square in 2D, calculated using surface volume of Tesseract and is represented as V_Hyper = (V_Surface/8)^(4/3) or Hypervolume of Tesseract = (Surface Volume of Tesseract/8)^(4/3). The Surface Volume of Tesseract is the volume of the surface of the Tesseract which is the 4D extension of cube in 3D and square in 2D.

How to calculate Hypervolume of Tesseract given Surface Volume?

The Hypervolume of Tesseract given Surface Volume formula is defined as the 4-dimensional volume of the 4D object Tesseract which is the 4D extension of the cube in 3D and a square in 2D, calculated using surface volume of Tesseract is calculated using Hypervolume of Tesseract = (Surface Volume of Tesseract/8)^(4/3). To calculate Hypervolume of Tesseract given Surface Volume, you need Surface Volume of Tesseract (V_Surface). With our tool, you need to enter the respective value for Surface Volume of Tesseract 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 Hypervolume of Tesseract?

In this formula, Hypervolume of Tesseract uses Surface Volume of Tesseract. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hypervolume of Tesseract = Edge Length of Tesseract^4
Hypervolume of Tesseract = Surface Area of Tesseract^2/576

Home

FREE PDFs

🔍 Search