Net of a Cylinder

Grade 6 Math Worksheets

A cylinder is a three-dimensional geometric shape with two parallel bases that are congruent circles and a curved lateral surface connecting the bases. The height of the cylinder is the perpendicular distance between the two bases.

In this article, we will cover:

Calculating the Net of a Cylinder
Solved Examples
FAQs

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Net of a Cylinder - Grade 6 Math Worksheet PDF

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The net of a cylinder is a two-dimensional flat representation of the three-dimensional shape of a cylinder. It is created by cutting and unfolding a cylinder along its lateral surface. The net of a cylinder shows the shape of the lateral surface and the two bases of the cylinder, and can be used to visualize the cylinder or to determine its surface area.

Calculating the Net of a Cylinder

The net of a cylinder is a 2-dimensional representation of the 3-dimensional shape. It can be used to create the cylinder by folding along the lines.

To calculate the net of a cylinder, you’ll need to know its height and the length of its circumference (i.e. the distance around the base). Then, you’ll divide the circumference by the number of sides you want the net to have (e.g. 4, 6, 8, etc.).

This will give you the length of each side of the regular polygon that forms the base of the cylinder. Then, use this length to create a regular polygon with the number of sides you’ve chosen. Connect the adjacent vertices of the polygon to create a flat shape, and then extend each side to form the height of the cylinder.

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Net of a Cylinder Solved Examples:

Example 1: A cylinder with a height of 10 cm and circumference of 20 cm, with 4 sides.

Solution:

Step 1 – Divide the circumference (20) by the number of sides (4) to get the length of each side of the base polygon: 20/4 = 5

Step 2 – Create a square with sides of length 5

Step 3 – Connect adjacent vertices to form a flat shape

Step 4 – Extend each side to form the height of the cylinder (10)

Example 2: A cylinder with a height of 15 and circumference of 30, with 6 sides.

Solution:

Step 1 – Divide the circumference (30) by the number of sides (6) to get the length of each side of the base polygon: 30/6 = 5

Step 2 – Create a hexagon with sides of length 5

Step 3 – Connect adjacent vertices to form a flat shape

Step 4 – Extend each side to form the height of the cylinder (15)

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Net of a Cylinder FAQS

What is a net of a cylinder?

A net of a cylinder is a 2-dimensional representation of the 3-dimensional shape that can be used to create the cylinder by folding along the lines.

How do you calculate the net of a cylinder?

To calculate the net of a cylinder, you’ll need to know its height and the length of its circumference. Divide the circumference by the number of sides you want the net to have (e.g. 4, 6, 8, etc.), to get the length of each side of the regular polygon that forms the base of the cylinder. Connect the adjacent vertices of the polygon to create a flat shape and then extend each side to form the height of the cylinder.

What are the dimensions required to calculate the net of a cylinder?

The dimensions required to calculate the net of a cylinder are the height and the length of its circumference.

What is the formula for calculating the net of a cylinder?

The formula for calculating the net of a cylinder is: Length of each side of the base polygon = Circumference ÷ Number of sides.

What is the purpose of a net of a cylinder?

The purpose of a net of a cylinder is to represent a 3-dimensional shape in a 2-dimensional format, which can be used to create the cylinder by folding along the lines.

How many sides can a cylinder net have?

A cylinder net can have any number of sides, but it’s usually 4, 6, or 8 sides.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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