104 LearnersLast updated on June 23rd, 2025
Pentagonal Prism Volume Calculator
A calculator is a tool designed to perform both basic arithmetic operations and advanced calculations, such as those involving geometry. It is especially helpful for completing mathematical school projects or exploring complex mathematical concepts. In this topic, we will discuss the Pentagonal Prism Volume Calculator.
What is the Pentagonal Prism Volume Calculator
The Pentagonal Prism Volume Calculator is a tool designed for calculating the volume of a pentagonal prism.
A pentagonal prism is a three-dimensional shape with two parallel bases that are pentagons and rectangular faces connecting these bases.
The base of the pentagon is a five-sided polygon.
The word prism comes from the Greek word "prisma", meaning "something sawed".
How to Use the Pentagonal Prism Volume Calculator
For calculating the volume of a pentagonal prism using the calculator, we need to follow the steps below -
Step 1: Input: Enter the base area and height
Step 2: Click: Calculate Volume. By doing so, the values we have given as input will get processed
Step 3: You will see the volume of the pentagonal prism in the output column
Tips and Tricks for Using the Pentagonal Prism Volume Calculator
Mentioned below are some tips to help you get the right answer using the Pentagonal Prism Volume Calculator.
Know the formula: The formula for the volume of a pentagonal prism is ‘Base Area × Height’.
Use the Right Units: Make sure the base area and height are in the right units, like square centimeters or meters for area and centimeters or meters for height.
The answer will be in cubic units (like cubic centimeters or cubic meters), so it’s important to match them.
Enter correct Numbers: When entering the base area and height, make sure the numbers are accurate.
Small mistakes can lead to big differences, especially with larger numbers.
Common Mistakes and How to Avoid Them When Using the Pentagonal Prism Volume Calculator
Calculators mostly help us with quick solutions.
For calculating complex math questions, students must know the intricate features of a calculator.
Given below are some common mistakes and solutions to tackle these mistakes.
Mistake 1
Rounding off too soon
Rounding the decimal number too soon can lead to wrong results.
For example, if the volume is 125.67 cm³, don’t round it to 126 right away. Finish the calculation first.
Mistake 2
Entering the wrong number as the base area or height
Make sure to double-check the number you are going to enter as the base area or height.
If you enter the base area as ‘15’ instead of 16, the result will be incorrect.
Mistake 3
Confusing base area with side length
Ensure you are entering the base area and not the side length of the pentagon.
The volume of the prism is calculated using the base area, not individual side lengths.
Mistake 4
Relying too much on the calculator.
The calculator gives an estimate.
Real objects may not be perfect, so the answer might be slightly different. Keep in mind that it's an approximation.
Mistake 5
Mixing up the positive and negative signs
Always check that you’ve entered the correct positive (+) or negative (–) signs.
A small mistake, like using the wrong sign for the height, can completely change the result.
Make sure the signs are correct before finishing your calculation.
For example, if the height is 20 cm, entering -20 cm instead of +20 cm could give you an incorrect volume.
Pentagonal Prism Volume Calculator Examples
Problem 1
Help Sarah find the volume of a wooden block with a pentagonal base area of 30 cm² and height of 10 cm.
We find the volume of the wooden block to be 300 cm³.
Explanation
To find the volume, we use the formula: V = Base Area × Height Here, the base area is 30 cm² and the height is 10 cm. V = 30 × 10 = 300 cm³
Problem 2
The base area of a pentagonal water tank is 45 cm², and its height is 25 cm. What will be its volume?
The volume is 1125 cm³.
Explanation
To find the volume, we use the formula: V = Base Area × Height Since the base area is 45 cm² and the height is 25 cm, we find the volume as V = 45 × 25 = 1125 cm³
Problem 3
Find the volume of a pentagonal prism with a base area of 20 cm² and height 15 cm, and compare it with the volume of a cube with a side length of 5 cm. Take their sum.
We will get the sum as 895 cm³.
Explanation
For the volume of a pentagonal prism, we use the formula ‘V = Base Area × Height’, and for the cube, we use ‘V = s³’.
Volume of pentagonal prism = 20 × 15 = 300 cm³ Volume of cube = 5³ = 5 × 5 × 5 = 125 cm³
The sum of volume = volume of pentagonal prism + volume of cube = 300 + 125 = 425 cm³.
Problem 4
The base area of a pentagonal tower is 50 cm², and its height is 18 cm. Find its volume.
We find the volume of the pentagonal tower to be 900 cm³.
Explanation
Volume = Base Area × Height = 50 × 18 = 900 cm³
Problem 5
John wants to build a pentagonal prism aquarium with a base area of 60 cm² and a height of 30 cm. Help John find its volume.
The volume of the pentagonal prism aquarium is 1800 cm³.
Explanation
Volume of pentagonal prism aquarium = Base Area × Height = 60 × 30 = 1800 cm³
FAQs on Using the Pentagonal Prism Volume Calculator
1.What is the volume of the pentagonal prism?
2.What is the value of base area or height that gets entered as ‘0’?
3.What will be the volume of the pentagonal prism if the base area is 25 cm² and height is 10 cm?
4.What units are used to represent the volume?
5.Can we use this calculator to find the volume of a different prism?
Important Glossary for the Pentagonal Prism Volume Calculator
- Volume: It is the amount of space occupied by any object. It is measured either in cubic meters (m³) or cubic centimeters (cm³).
- Base Area: The area of the base shape, which is a pentagon in this context.
- Height: The perpendicular distance between the two pentagonal bases.
- Prism: A solid geometric figure with two identical ends and flat sides.
- Cubic Units: Units used to measure volume. We use m³ and cm³ to represent the volume.
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Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
Fun Fact
: She has songs for each table which helps her to remember the tables
