# Volume of a Pentagonal Prism Calculator

'**Volume of a Pentagonal Prism Calculator**' is an online tool that helps to calculate the volume of a pentagonal prism.

## What is Volume of a Pentagonal Prism Calculator?

Online Volume of a Pentagonal Prism Calculator helps you to calculate the volume of a pentagonal prism in a few seconds.

### Volume of a Pentagonal Prism Calculator

## How to Use Volume of a Pentagonal Prism Calculator?

Please follow the below steps to find the volume of a pentagonal prism:

**Step 1:**Enter the apothem length, base length, and height of the prism in the given input box.**Step 2:**Click on the**"Calculate"**button to find the volume of a pentagonal prism.**Step 3:**Click on the**"Reset"**button to clear the fields and find the volume of a pentagonal prism for different values.

## How to Find Volume of a Pentagonal Prism?

A pentagonal prism is defined as a three dimensional solid that has two pentagonal bases: bottom and top

The volume of a pentagonal prism is the capacity of the pentagonal prism or the measure of the amount of space it occupies. The units of the volume is cubic units. The volume of a pentagonal prism can be calculated as,

**The volume of a pentagonal prism**** = 5/2 × a × b × h,** where 'a' is apothem length of the prism, 'b' is the base length of the prism, and 'h' is the height of the prism

**Solved Examples on Volume of a Pentagonal Prism Calculator**

**Example 1:**

Find the volume of a pentagonal prism if the apothem length of the pentagonal prism is 5units, the base length of the prism is 6units, and the height of the prism is 7units?

**Solution:**

The volume of a pentagonal prism = 5/2 × a × b × h

= 5/2 × 5 × 6 × 7

= 5 × 5 × 3 × 7

= 525 cubic units

Therefore, the volume of a hemisphere = 525 cubic units

**Example 2:**

Find the volume of a pentagonal prism if the apothem length of the pentagonal prism is 7units, the base length of the prism is 8units, and the height of the prism is 9units?

**Solution:**

The volume of a pentagonal prism = 5/2 × a × b × h

= 5/2 × 7 × 8 × 9

= 5 × 7 × 4 × 9

= 1260 cubic units

Therefore, the volume of a hemisphere = 1260 cubic units

**Example 3:**

Find the volume of a pentagonal prism if the apothem length of the pentagonal prism is 11units, the base length of the prism is 14units, and the height of the prism is 13units?

**Solution:**

The volume of a pentagonal prism = 5/2 × a × b × h

= 5/2 × 11 × 14 × 13

= 5 × 11 × 7 × 13

= 5005 cubic units

Therefore, the volume of a hemisphere = 5005 cubic units

Similarly, you can try the calculator to find the volume of a pentagonal prism for the following dimensions:

a) Apothem length = 7units, the base length = 4units, and the height = 11units

b) Apothem length = 5units, the base length = 9units, and the height = 10units

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