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Identifying Cross Sections of Solids Worksheet

The expression or representation of the intersection of a figure by a plane along its axis is known as the cross-section of solid. It is a shape that is obtained when solid figures like spheres, cones, and cylinders are cut by a plane. For example, when a cylinder is cut by a plane, the cross-section will be a circle.  

Grade 7
Surface Area And Volume
7.G.A.3
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Teaching Cross-Section of Solid Easily 

 

  • To find the cross-section of a solid, always determine the radius and height of the solid figure. 


 

  • Secondly, you may use the formula for the figure to get an appropriate result. 


 

  • For solid figures, most of the time the area of the circle formula can help. 


 

Here is an example to solve a question on cross-sections of solids. Let’s look at the given example mentioned below to understand more about the cross-sections of solids. 


 

Q. Find the cross-section of a cylinder whose height is 15 cm and radius is 4 cm? 


 

Step 1: Determine the height and radius of the cylinder. 

So, 

Height of the cylinder = 15 cm 

Radius of the cylinder = 4 cm 


 

Step 2: Use the cross-section of the cylinder formula. ( the cross-section obtained is a circle ) . Hence, we use the area of the circle formula. 

Πr.r where r is the radius. 


 

3.14 * 4 . 4 = 50.24 cm square units. 

Hence, the cross-section is equivalent to 50.24 cm square units. 


 

Why Should you use a cross-section of a solid worksheet for your students? 

 

  • The cross-section of a solid worksheet will help your students to be well versed with different geometric shapes and their properties. 


 

  • These worksheets will help your students to understand different cross sections of solid figures like cones, cylinders, and so on. 
     

Download Cross-Section of a Solid Worksheet PDF

 

You can download and print these super fun cross-sections of solid worksheets from here for your students.

Teaching Cross-Section of Solid Easily 

 

  • To find the cross-section of a solid, always determine the radius and height of the solid figure. 


 

  • Secondly, you may use the formula for the figure to get an appropriate result. 


 

  • For solid figures, most of the time the area of the circle formula can help. 


 

Here is an example to solve a question on cross-sections of solids. Let’s look at the given example mentioned below to understand more about the cross-sections of solids. 


 

Q. Find the cross-section of a cylinder whose height is 15 cm and radius is 4 cm? 


 

Step 1: Determine the height and radius of the cylinder. 

So, 

Height of the cylinder = 15 cm 

Radius of the cylinder = 4 cm 


 

Step 2: Use the cross-section of the cylinder formula. ( the cross-section obtained is a circle ) . Hence, we use the area of the circle formula. 

Πr.r where r is the radius. 


 

3.14 * 4 . 4 = 50.24 cm square units. 

Hence, the cross-section is equivalent to 50.24 cm square units. 


 

Why Should you use a cross-section of a solid worksheet for your students? 

 

  • The cross-section of a solid worksheet will help your students to be well versed with different geometric shapes and their properties. 


 

  • These worksheets will help your students to understand different cross sections of solid figures like cones, cylinders, and so on. 
     

Download Cross-Section of a Solid Worksheet PDF

 

You can download and print these super fun cross-sections of solid worksheets from here for your students.

Teaching Cross-Section of Solid Easily 

 

  • To find the cross-section of a solid, always determine the radius and height of the solid figure. 


 

  • Secondly, you may use the formula for the figure to get an appropriate result. 


 

  • For solid figures, most of the time the area of the circle formula can help. 


 

Here is an example to solve a question on cross-sections of solids. Let’s look at the given example mentioned below to understand more about the cross-sections of solids. 


 

Q. Find the cross-section of a cylinder whose height is 15 cm and radius is 4 cm? 


 

Step 1: Determine the height and radius of the cylinder. 

So, 

Height of the cylinder = 15 cm 

Radius of the cylinder = 4 cm ...

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