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