The image above is an ellipsoid.

To compute the area of an ellipsoid, three essential parameters are needed and this parameters are** axis (a)**, **axis (b)** and **axis (c)**.

The formula for calculating the area of an ellipsoid:

A = 4π(^{(ab)1.6 + (ac)1.6 + (bc)1.6}⁄_{3})^{1 / 1.6}

Where;

A = Area of the ellipsoid

a = Axis of the ellipsoid

b = Axis of the ellipsoid

c = Axis of the ellipsoid

Let’s solve an example;

Find the the area of an ellipsoid when the axis (a) of the ellipsoid is 12 cm, axis (b) of the ellipsoid is 6 cm and axis (c) of the ellipsoid is 2 cm.

This implies that;

a = Axis of the ellipsoid = 12 cm

b = Axis of the ellipsoid = 6 cm

c = Axis of the ellipsoid = 2 cm

A = 4π(^{(ab)1.6 + (ac)1.6 + (bc)1.6}⁄_{3})^{1 / 1.6}

A = 4π(^{((12)(6))1.6 + ((12)(2))1.6 + ((6)(2))1.6}⁄_{3})^{1 / 1.6}

A = 4π(^{((72)1.6 + (24)1.6 + (12)1.6)}⁄_{3})^{1 / 1.6}

A = 4π(^{((936.98) + (161.56) + (53.29))}⁄_{3})^{1 / 1.6}

A = 4π(^{(1151.84)}⁄_{3})^{1 / 1.6}

A = 4π(383.946)^{1 / 1.6}

A = 4π(383.946)^{0.625}

A = 4π(41.2258)

A = (12.566)(41.2258)

A = 518.059

Therefore, the **area of the ellipsoid** is **518.059 cm ^{2}**.