This guide explains how to calculate the volume of geometric... Show more
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12 Feb 2023
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How to Find Volume of Shapes: Cylinders and Triangular Prisms
Shaz
@shaz2007
Advanced Volume Calculations
This page covers more complex geometric shapes, including pyramids, spheres, and cones, providing formulas and examples for calculating their volumes.
Pyramid Volume
The volume of a pyramid is calculated using the formula:
Volume = 1/3 × Base Area × Height
Example: For a square-based pyramid with base side 8cm and height 12cm: Volume = 1/3 × 8 × 8 × 12 = 256 cm³
Sphere Volume
The formula for volume of a sphere with radius r is:
Volume = 4/3 × π × r³
Example: For a sphere with radius 5cm: Volume = 4/3 × π × 5³ ≈ 523.6 cm³
Cone Volume
The volume of a cone is calculated using the formula:
Volume = 1/3 × π × r² × h
Where r is the radius of the base and h is the height of the cone.
Example: For a cone with radius 3cm and height 8cm: Volume = 1/3 × π × 3² × 8 ≈ 75.4 cm³
Highlight: These formulas are essential for solving complex geometry problems and understanding three-dimensional shapes in mathematics and science.
Volume Calculation for Geometric Shapes
This page introduces the concept of volume and provides formulas and examples for calculating the volume of various geometric shapes. The focus is on cubes, cuboids, and triangular prisms.
Definition: Volume is the amount of three-dimensional space occupied by an object, typically measured in cubic units such as cm³ or m³.
Cube Volume
The formula for the volume of a cube is:
Volume = Length × Width × Height
Example: For a cube with sides of 6cm, the volume calculation is: Volume = 6 × 6 × 6 = 216 cm³
Cuboid Volume
The volume of a cuboid is calculated using the same formula as a cube:
Volume = Length × Width × Height
Example: For a cuboid with dimensions 8cm × 4cm × 5cm, the volume is: Volume = 8 × 4 × 5 = 160 cm³
Triangular Prism Volume
The volume of a triangular prism is calculated by multiplying the area of the triangular face by the length of the prism:
Volume = × Length
Example: For a triangular prism with a base of 6cm, height of 5cm, and length of 15cm: Volume = × 15 = 225 cm³
Cylinder Volume
The formula for the volume of a cylinder with radius r and height h is:
Volume = π × r² × h
Highlight: When using a calculator, π is often represented by the 'shift' function followed by X10.
Example: For a cylinder with radius 4.8cm and height 14cm: Volume = π × 4.8² × 14 ≈ 1013.35 cm³
Can't find what you're looking for? Explore other subjects.
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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
How to Find Volume of Shapes: Cylinders and Triangular Prisms
Shaz
@shaz2007
This guide explains how to calculate the volume of geometric shapes, including cubes, cuboids, triangular prisms, cylinders, pyramids, spheres, and cones. It provides formulas and examples for each shape.
Key points:
- Volume is typically measured in cubic centimeters (cm³)... Show more
Advanced Volume Calculations
This page covers more complex geometric shapes, including pyramids, spheres, and cones, providing formulas and examples for calculating their volumes.
Pyramid Volume
The volume of a pyramid is calculated using the formula:
Volume = 1/3 × Base Area × Height
Example: For a square-based pyramid with base side 8cm and height 12cm: Volume = 1/3 × 8 × 8 × 12 = 256 cm³
Sphere Volume
The formula for volume of a sphere with radius r is:
Volume = 4/3 × π × r³
Example: For a sphere with radius 5cm: Volume = 4/3 × π × 5³ ≈ 523.6 cm³
Cone Volume
The volume of a cone is calculated using the formula:
Volume = 1/3 × π × r² × h
Where r is the radius of the base and h is the height of the cone.
Example: For a cone with radius 3cm and height 8cm: Volume = 1/3 × π × 3² × 8 ≈ 75.4 cm³
Highlight: These formulas are essential for solving complex geometry problems and understanding three-dimensional shapes in mathematics and science.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Volume Calculation for Geometric Shapes
This page introduces the concept of volume and provides formulas and examples for calculating the volume of various geometric shapes. The focus is on cubes, cuboids, and triangular prisms.
Definition: Volume is the amount of three-dimensional space occupied by an object, typically measured in cubic units such as cm³ or m³.
Cube Volume
The formula for the volume of a cube is:
Volume = Length × Width × Height
Example: For a cube with sides of 6cm, the volume calculation is: Volume = 6 × 6 × 6 = 216 cm³
Cuboid Volume
The volume of a cuboid is calculated using the same formula as a cube:
Volume = Length × Width × Height
Example: For a cuboid with dimensions 8cm × 4cm × 5cm, the volume is: Volume = 8 × 4 × 5 = 160 cm³
Triangular Prism Volume
The volume of a triangular prism is calculated by multiplying the area of the triangular face by the length of the prism:
Volume = × Length
Example: For a triangular prism with a base of 6cm, height of 5cm, and length of 15cm: Volume = × 15 = 225 cm³
Cylinder Volume
The formula for the volume of a cylinder with radius r and height h is:
Volume = π × r² × h
Highlight: When using a calculator, π is often represented by the 'shift' function followed by X10.
Example: For a cylinder with radius 4.8cm and height 14cm: Volume = π × 4.8² × 14 ≈ 1013.35 cm³
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user