Surface Area of a Cylinder and Rectangular Prism

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

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

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

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

Back

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

Front

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

Back

Total Surface Area = 2(lw + lh + wh), where l is the length, w is the width, and h is the height.

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 ≈ 94.25 cm².

Front

If a rectangular prism has dimensions 4 cm (length), 3 cm (width), and 5 cm (height), what is its total surface area?

Back

Total Surface Area = 2(4*3 + 4*5 + 3*5) = 2(12 + 20 + 15) = 2(47) = 94 cm².

Front

What is the lateral surface area of a cylinder with a radius of 2 cm and a height of 10 cm?

Back

Lateral Surface Area = 2π(2)(10) = 40π ≈ 125.66 cm².

Front

What is the total surface area of a cylinder with a radius of 2 cm and a height of 10 cm?

Back

Total Surface Area = 2π(2)(10 + 2) = 2π(2)(12) = 48π ≈ 150.80 cm².

Front

What is the lateral surface area of a rectangular prism with a height of 6 cm, length of 4 cm, and width of 3 cm?

Back

Lateral Surface Area = 2(6)(4 + 3) = 2(6)(7) = 84 cm².

Front

If a cylinder has a radius of 5 cm and a height of 8 cm, what is its total surface area?

Back

Total Surface Area = 2π(5)(8 + 5) = 2π(5)(13) = 130π ≈ 408.41 cm².