Introduction to end area volume calculation:

In math, Volume plays vital role in geometry. Volume is used to find how much space occupied by the shape. It is measured in cubic units.

In this article, we shall see about calculation of cross section measurement by the average end area method.

We are going to calculate volume of cross section shape by the average end area method using formula.

Let us see about end area volume calculation in detail.

Related Calculators | |

Calculate Volume | Area Calculator |

Calculate Volume of a Triangular Prism | Calculate Volume of Rectangular Prism |

The volume formula for average end area is very exact method calculation only for end areas are equal. For end areas are not equal cases, this volume formula calculates slightly larger than its original values. For example, we are going to calculate volume of pyramid, the calculation of volume will be equal 50% of correct volume values.

The formula for calculation of volume by average end area:

**Volume = L x `1/2` (A _{1} + A_{2}) cubic meter.**

L – Distance in meters

A_{1} and A_{2} – area in Square meters

This average end area calculation is used to calculate volume between two cross sections. That is, two cross sectional areas are averaged and multiplied by the length(distance) between two cross sections to get the volume.

Let us discuss example problems of average end area calculation.

**Example Problem:**

Find the volume of two cross sections using average end area method for following values.

Length is 20 m, two areas are 150 m^{2} , 180 m^{2}.

**Solution:**

**Given:**

L = 20 m

A_{1} = 150 m^{2}

A_{2} = 180 m^{2}

Formula for calculation:

**Volume = L x `1/2` (A _{1} + A_{2})**

Substituting values for length and areas into above formula.

Volume = 20 x `1/2` (150 + 180)

Volume = 20 x `1/2` (330)

Volume = 20 x 165

Volume = 3300

Therefore, **volume of two cross sections is 3300 m ^{3}.**

Thus we solved volume calculation by using average end area method.