Net of a Cylinder
Net of a Cylinder is a skill on Pengi from Lesson 55: Nets of Prisms, Cylinders, Pyramids, and Cones in Saxon Math, Course 3.
Key Concepts
Property A cylinder has two circular bases and a lateral surface that unwraps to form a rectangle. The surface area is given by the formula $S = 2\pi rh + 2\pi r^2$.
Examples A cylinder's net is a rectangle with two identical circles attached to its shorter, opposite sides. In the formula $S = 2\pi rh + 2\pi r^2$, the $2\pi rh$ part calculates the area of the rectangular label. The $2\pi r^2$ part of the formula represents the combined area of the two circular lids on the top and bottom.
Explanation A can of soup is a perfect cylinder. If you were to peel off its label, the label would become a flat rectangle. The top and bottom lids of the can are just two circles. So, a cylinder's net is simply one rectangle with two circles attached, one at the top and one at the bottom.
Common Questions
What is Net of a Cylinder?
Net of a Cylinder is a skill on Pengi from Lesson 55: Nets of Prisms, Cylinders, Pyramids, and Cones in Saxon Math, Course 3.
What grade level is Net of a Cylinder for?
Net of a Cylinder is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.
How can I learn Net of a Cylinder?
Pengi offers an AI-guided lesson for Net of a Cylinder that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.
How do I practice Net of a Cylinder?
After learning the concept, use the Practice mode to work through targeted exercises on Net of a Cylinder. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Net of a Cylinder?
Net of a Cylinder is covered in Saxon Math, Course 3, specifically in Chapter 6: Number & Operations • Data Analysis & Probability under Lesson 55: Nets of Prisms, Cylinders, Pyramids, and Cones. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Net of a Cylinder free to study on Pengi?
Yes, the core Learn and Practice modes for Net of a Cylinder are available for free on Pengi. No credit card is required to start studying.