Lateral and Total Surface Area Review Flashcard

Front

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

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

Calculate the lateral surface area of a cylinder with radius 7 cm and height 20 cm.

Back

879.2 cm²

Front

What is lateral surface area?

Back

The area of only the sides (not including the bases or top and bottom).

Front

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

Back

Total Surface Area = Ph + 2B, where P is the perimeter of the base, h is the height, and B is the area of the base.

Front

Calculate the total surface area of a cylinder with radius 7 cm and height 20 cm.

Back

1186.92 cm²

Front

What does 'P' represent in the total surface area formula?

Back

P represents the perimeter of the base.

Front

What does 'B' represent in the total surface area formula?

Back

B represents the area of the base.

Front

If the radius of a cylinder is doubled, how does it affect the lateral surface area?

Back

The lateral surface area increases by a factor of 2.

Front

What is the total surface area of a cylinder with radius 3 cm and height 5 cm?

Back

Total Surface Area = 2πr(h + r) = 2π(3)(5 + 3) = 150.8 cm².

Front

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

Back

Lateral surface area includes only the sides, while total surface area includes the sides and the bases.