Volume formulas for prisms cones spheres pyramidsare essential for... Show more
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
252
•
23 Apr 2023
•
Learn Volume Formulas for Prisms, Cones, Pyramids, and Spheres - Fun Worksheets for Kids!
Hugo
@hugocole
Pyramids: Volume Calculations
This page focuses on the volume formula for pyramids and provides examples of calculations. Understanding these concepts is essential for tackling volume and surface area GCSE exam questions.
The general volume formula for pyramids is:
Formula: Volume of a pyramid = × base area × height
An example calculation for a square-based pyramid with side length 7 cm and height 15 cm is shown:
Example: V = × 7² × 15 = 245 cm³
The page includes additional practice problems from a textbook , encouraging students to apply the learned formulas.
Highlight: These formulas and problem-solving techniques are crucial for success in GCSE mathematics, particularly when dealing with volume of geometric shapes GCSE worksheets.
The page also provides solutions to some of the practice problems, demonstrating the step-by-step process for calculating volumes of various pyramids:
Example: For a pyramid with base area 18 cm² and height 10 cm: V = × 18 × 10 = 60 cm³
Example: For a pyramid with base side length 8 cm and height 6 cm: V = × × 6 = 144 cm³
These examples reinforce the application of the volume formula for pyramids and provide students with practical experience in solving volume of 3D shapes GCSE questions.
Prisms, Cones, Spheres, and Pyramids: Volume Formulas
This page introduces the volume formulas for all shapes commonly encountered in geometry, focusing on prisms, cones, spheres, and pyramids. These formulas are crucial for solving GCSE volume questions and answers.
Prisms are defined as three-dimensional shapes with a constant cross-section throughout their length. Examples include cylinders, cuboids, and hexagonal prisms. The volume formula for prisms is:
Definition: Volume of a prism = cross-section area × perpendicular length
For cylinders, a specific type of prism, the formula is:
Formula: Volume of a cylinder = πr²h
Where r is the radius of the base and h is the height of the cylinder.
An example calculation for a cylinder with radius 8 cm and height 10 cm is provided:
Example: V = π × 8² × 10 = 2010.6 cm³
The page also covers the volume formula for spheres:
Formula: Volume of a sphere = πr³
An example calculation for a sphere with radius 5 cm is shown:
Example: V = × π × 5³ = 523.6 cm³
For cones, the volume formula is:
Formula: Volume of a cone = πr²h
An example calculation for a cone with radius 8 cm and height 13.2 cm is provided:
Example: V = × π × 8² × 13.2 = 884.7 cm³
Highlight: These formulas are typically provided on GCSE exam papers, but understanding their application is crucial for solving problems effectively.
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
Learn Volume Formulas for Prisms, Cones, Pyramids, and Spheres - Fun Worksheets for Kids!
Hugo
@hugocole
Volume formulas for prisms cones spheres pyramids are essential for calculating the space occupied by various 3D shapes. This guide covers the key formulas and examples for prisms, cones, spheres, and pyramids, providing students with the tools to solve volume... Show more
Pyramids: Volume Calculations
This page focuses on the volume formula for pyramids and provides examples of calculations. Understanding these concepts is essential for tackling volume and surface area GCSE exam questions.
The general volume formula for pyramids is:
Formula: Volume of a pyramid = × base area × height
An example calculation for a square-based pyramid with side length 7 cm and height 15 cm is shown:
Example: V = × 7² × 15 = 245 cm³
The page includes additional practice problems from a textbook , encouraging students to apply the learned formulas.
Highlight: These formulas and problem-solving techniques are crucial for success in GCSE mathematics, particularly when dealing with volume of geometric shapes GCSE worksheets.
The page also provides solutions to some of the practice problems, demonstrating the step-by-step process for calculating volumes of various pyramids:
Example: For a pyramid with base area 18 cm² and height 10 cm: V = × 18 × 10 = 60 cm³
Example: For a pyramid with base side length 8 cm and height 6 cm: V = × × 6 = 144 cm³
These examples reinforce the application of the volume formula for pyramids and provide students with practical experience in solving volume of 3D shapes GCSE questions.
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
Prisms, Cones, Spheres, and Pyramids: Volume Formulas
This page introduces the volume formulas for all shapes commonly encountered in geometry, focusing on prisms, cones, spheres, and pyramids. These formulas are crucial for solving GCSE volume questions and answers.
Prisms are defined as three-dimensional shapes with a constant cross-section throughout their length. Examples include cylinders, cuboids, and hexagonal prisms. The volume formula for prisms is:
Definition: Volume of a prism = cross-section area × perpendicular length
For cylinders, a specific type of prism, the formula is:
Formula: Volume of a cylinder = πr²h
Where r is the radius of the base and h is the height of the cylinder.
An example calculation for a cylinder with radius 8 cm and height 10 cm is provided:
Example: V = π × 8² × 10 = 2010.6 cm³
The page also covers the volume formula for spheres:
Formula: Volume of a sphere = πr³
An example calculation for a sphere with radius 5 cm is shown:
Example: V = × π × 5³ = 523.6 cm³
For cones, the volume formula is:
Formula: Volume of a cone = πr²h
An example calculation for a cone with radius 8 cm and height 13.2 cm is provided:
Example: V = × π × 8² × 13.2 = 884.7 cm³
Highlight: These formulas are typically provided on GCSE exam papers, but understanding their application is crucial for solving problems effectively.
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