## Introduction

In geometry, an ellipsoid is a type of quadric surface that is a higher dimensional analogue of an ellipse with three axis. Calculate its surface area, volume and unknown axis.

# Ellipsoid Formulas Calculator

## Introduction

In geometry, an ellipsoid is a type of quadric surface that is a higher dimensional analogue of an ellipse with three axis. Calculate its surface area, volume and unknown axis.

# Description

In geometry, an ellipsoid is a type of quadric surface that is a higher dimensional analogue of an ellipse with three axis. Calculate its surface area, volume and unknown axis.

$a$, Symbol for Axis-x;
$b$, Symbol for Axis-y;
$c$, Symbol for Axis-z;
$V$, Symbol for Volume;
$S$, Symbol for Surface area;
$X$, Symbol for The unknown axis;

## Volume

$V=\frac{4}{3}\mathrm{\pi abc}$

# Output

## Surface area

$S\approx 4\mathrm{\pi }{\left[\frac{{\left(\mathrm{ab}\right)}^{1.6}+{\left(\mathrm{ac}\right)}^{1.6}+{\left(\mathrm{bc}\right)}^{1.6}}{3}\right]}^{1}{1.6}}$

# Output

## Axis

$\mathrm{X}=3\frac{\mathrm{V}}{4\mathrm{\pi ab}}$

# Output

## References

Figure - 18.1 https://www.mathworks.com/help/matlab/ref/ellipsoid.html?