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Surface Area Formulas and Examples for Class 10

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Jenyah

5/9/2023

Geometry

surface area

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Volume, Surface Area & Density

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Volume and Surface Area

Surface Area Formulas and Examples for Class 10

Understanding surface area and its formulas is crucial for geometry in mathematics. This comprehensive guide covers various 3D shapes and their surface area formulas, including detailed explanations and practical examples.

• The guide introduces fundamental concepts of surface area formulas class 10, starting with basic shapes like cubes and extending to more complex prisms

• Detailed coverage of surface area formula for cylinder, formula for surface area of a cube, and various prism calculations

• Special attention to net of a cube and cuboid concepts, helping visualize 3D shapes in 2D form

• Comprehensive formulas for calculating surface area of prisms, including triangular, rectangular, and other polygonal prisms

• Practical examples demonstrating the application of surface area formulas calculator concepts

...

5/9/2023

311

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

View

Page 2: Understanding Cube Properties and Nets

This page delves into the basic concepts of surface area, focusing specifically on cubes and their properties. It explains how a cube's dimensions are related and introduces the concept of nets.

Definition: Surface area is defined as the total area of all sides of a 3-dimensional shape.

Vocabulary: Net - A two-dimensional representation of a three-dimensional shape when "unfolded."

Example: In a cube, all edges are equal a=height=length=widtha = height = length = width, making calculations straightforward.

Highlight: The net of a cube shows all six faces laid flat, each being a square with area a².

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

View

Page 3: Surface Area Formulas for Cubes

This page focuses on the specific formula for calculating a cube's surface area and provides a practical example.

Formula: SA = 6s², where s represents the length of one side

Example: For a cube with 12-inch sides, the calculation would be: Area of one face = 12 × 12 = 144 square inches Total surface area = 6 × 144 = 864 square inches

Highlight: The formula 6s² comes from having six equal square faces.

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

View

Page 4: Rectangular Prisms and Their Surface Area

This page explains the calculation of surface area for rectangular prisms, including both cuboids and standard rectangular prisms.

Definition: A rectangular prism is a three-dimensional shape with six rectangular faces.

Formula: SA = 2lw+wh+lhlw + wh + lh, where l is length, w is width, and h is height

Highlight: The page emphasizes visualizing the shape by "pulling it apart" to better understand surface area calculations.

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

View

Page 5: Introduction to Formula Sheets

This page serves as a transition to the comprehensive formula sheets that follow, preparing students for detailed reference materials.

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

View

Page 6: Comprehensive Surface Area Formulas for Various Prisms

This page provides detailed formulas for calculating surface areas of different types of prisms, including triangular, rectangular, hexagonal, heptagonal, square, octagonal, pentagonal, and trapezoidal prisms.

Highlight: Each formula is accompanied by specific variables and their definitions.

Example: For a triangular prism: SA = bh + S1+S2+S3S₁ + S₂ + S₃ × l, where b is base, h is height, and S₁, S₂, S₃ are base edges.

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

View

Page 7: Surface Area Formula Chart

This page presents a comprehensive chart of surface area formulas for various 3D shapes including cubes, cones, cylinders, spheres, prisms, and pyramids.

Highlight: The chart includes both lateral/curved surface area and total surface area formulas.

Vocabulary: Nomenclature section defines key variables: a sideofcubeside of cube, l lengthlength, b breadthbreadth, h heightheight, r radiusradius.

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Subjects

Geometry

Volume, Surface Area & Density

Volume and Surface Area

 

Geometry

•

311

•

May 9, 2023

•

7 pages

Surface Area Formulas and Examples for Class 10

user profile picture

Jenyah

@rose_mipz

Understanding surface area and its formulas is crucial for geometry in mathematics. This comprehensive guide covers various 3D shapes and their surface area formulas, including detailed explanations and practical examples.

• The guide introduces fundamental concepts of surface area... Show more

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

Sign up to see the contentIt's free!

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Page 2: Understanding Cube Properties and Nets

This page delves into the basic concepts of surface area, focusing specifically on cubes and their properties. It explains how a cube's dimensions are related and introduces the concept of nets.

Definition: Surface area is defined as the total area of all sides of a 3-dimensional shape.

Vocabulary: Net - A two-dimensional representation of a three-dimensional shape when "unfolded."

Example: In a cube, all edges are equal a=height=length=widtha = height = length = width, making calculations straightforward.

Highlight: The net of a cube shows all six faces laid flat, each being a square with area a².

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

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

Page 3: Surface Area Formulas for Cubes

This page focuses on the specific formula for calculating a cube's surface area and provides a practical example.

Formula: SA = 6s², where s represents the length of one side

Example: For a cube with 12-inch sides, the calculation would be: Area of one face = 12 × 12 = 144 square inches Total surface area = 6 × 144 = 864 square inches

Highlight: The formula 6s² comes from having six equal square faces.

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

Sign up to see the contentIt's free!

Access to all documents

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By signing up you accept Terms of Service and Privacy Policy

Page 4: Rectangular Prisms and Their Surface Area

This page explains the calculation of surface area for rectangular prisms, including both cuboids and standard rectangular prisms.

Definition: A rectangular prism is a three-dimensional shape with six rectangular faces.

Formula: SA = 2lw+wh+lhlw + wh + lh, where l is length, w is width, and h is height

Highlight: The page emphasizes visualizing the shape by "pulling it apart" to better understand surface area calculations.

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

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

Page 5: Introduction to Formula Sheets

This page serves as a transition to the comprehensive formula sheets that follow, preparing students for detailed reference materials.

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

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

Page 6: Comprehensive Surface Area Formulas for Various Prisms

This page provides detailed formulas for calculating surface areas of different types of prisms, including triangular, rectangular, hexagonal, heptagonal, square, octagonal, pentagonal, and trapezoidal prisms.

Highlight: Each formula is accompanied by specific variables and their definitions.

Example: For a triangular prism: SA = bh + S1+S2+S3S₁ + S₂ + S₃ × l, where b is base, h is height, and S₁, S₂, S₃ are base edges.

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

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

Page 7: Surface Area Formula Chart

This page presents a comprehensive chart of surface area formulas for various 3D shapes including cubes, cones, cylinders, spheres, prisms, and pyramids.

Highlight: The chart includes both lateral/curved surface area and total surface area formulas.

Vocabulary: Nomenclature section defines key variables: a sideofcubeside of cube, l lengthlength, b breadthbreadth, h heightheight, r radiusradius.

<p><strong>What is Surface Area?</strong><br /> Surface area refers to the total area of all sides of a three-dimensional shape. It is a fu

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

Page 1: Introduction to Surface Area

This page introduces the fundamental concept of surface area in mathematics. The title serves as an entry point to the detailed exploration of three-dimensional shapes and their measurements.

Definition: Surface area represents the total area covered by all faces of a three-dimensional object.

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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

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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

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

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Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

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

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user