Subjects

Geometry

Volume, Surface Area & Density

Volume and Surface Area

Surface Area Formulas and Examples for Class 10

Name: Knowunity
Brand: Knowunity

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Surface Area Formulas and Examples for Class 10

Jenyah

@rose_mipz

94 Followers

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

225

<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

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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 = width), making calculations straightforward.

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

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.

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 = 2(lw + 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.

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.

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 + S₃) × l, where b is base, h is height, and S₁, S₂, S₃ are base edges.

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 (side of cube), l (length), b (breadth), h (height), r (radius).

View

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.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

Geometry

Volume, Surface Area & Density

Volume and Surface Area

Surface Area Formulas and Examples for Class 10

Jenyah

@rose_mipz

94 Followers

• 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

225

9th/10th

Geometry

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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 = width), making calculations straightforward.

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

Sign up to see the content. It'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.

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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 = 2(lw + 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.

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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.

Sign up to see the content. It'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

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

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

Sign up to see the content. It's free!

Access to all documents

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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 (side of cube), l (length), b (breadth), h (height), r (radius).

Sign up to see the content. It'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.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Surface Area Formulas and Examples for Class 10

Similar Content

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying

Surface Area Formulas and Examples for Class 10

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Similar Content

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying