Surface Area of Prisms and Cylinders

Front

What is the formula for the lateral surface area of a cylinder?

Back

Lateral Surface Area (SA) = 2πrh

Front

What is the formula for the total surface area of a cylinder?

Back

Total Surface Area (SA) = 2πrh + 2πr²

Front

What does 'lateral surface area' refer to?

Back

The area of the sides of a 3D shape, excluding the top and bottom.

Front

How do you calculate the lateral surface area of a rectangular prism?

Back

Lateral Surface Area = 2h(l + w), where h is height, l is length, and w is width.

Front

What is the formula for the surface area of a rectangular prism?

Back

Surface Area = 2lw + 2lh + 2wh

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its lateral surface area?

Back

Lateral Surface Area = 2π(3)(5) = 30π cm²

Front

What is the value of π (pi) commonly approximated as?

Back

π ≈ 3.14

Front

What is the surface area of a cylinder with a radius of 4 in and a height of 10 in?

Back

Total Surface Area = 2π(4)(10) + 2π(4)² = 80π + 32π = 112π in²

Front

What is the difference between lateral surface area and total surface area?

Back

Lateral surface area excludes the top and bottom surfaces, while total surface area includes all surfaces.

Front

How do you find the surface area of a can?

Back

Use the formula SA = 2πrh + 2πr², where r is radius and h is height.