Lateral Surface Area of Cylinders
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 14: Surface Area and Volume) learn to calculate the lateral surface area of cylinders using the formula S_lateral = 2πrh. This measures only the curved side surface—like the label on a can—excluding the two circular bases.
Key Concepts
The lateral surface area of a cylinder is the area of only the curved surface, excluding the circular bases: $S {lateral} = 2\pi rh$.
Common Questions
What is lateral surface area of a cylinder?
Lateral surface area is the area of the curved side surface only, not including the two circular bases. The formula is S = 2 pi r h, where r is radius and h is height.
How do you calculate lateral surface area of a cylinder?
Use the formula S_lateral = 2 pi r h. For a cylinder with radius 3 cm and height 8 cm: S = 2 x pi x 3 x 8 = 48 pi approximately 150.8 sq cm.
What is the difference between lateral surface area and total surface area of a cylinder?
Lateral surface area includes only the curved side (2 pi r h). Total surface area also includes both circular bases: S_total = 2 pi r squared + 2 pi r h.
What chapter in Big Ideas Math Advanced 2 covers lateral surface area of cylinders?
Chapter 14: Surface Area and Volume in Big Ideas Math Advanced 2 (Grade 7) covers lateral surface area of cylinders.
Why is the lateral surface area formula 2 pi r h?
If you unroll the curved surface, it forms a rectangle with width equal to the circumference (2 pi r) and height equal to h. Area of rectangle = width x height = 2 pi r h.