Review: Surface Area of Prisms and Cylinders

Front

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

Back

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

Front

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

Back

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

Front

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

Back

Lateral surface area is the area of the sides of a 3D shape, excluding the bases. Total surface area includes the lateral area plus the area of the bases.

Front

How do you calculate the lateral surface area of a cylinder?

Back

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

Front

What is the total surface area of a triangular prism?

Back

Total Surface Area = (Base Area x 2) + (Perimeter of Base x Height of Prism).

Front

If a cylinder has a radius of 3 inches and a height of 8 inches, what is its lateral surface area?

Back

Lateral Surface Area = 2πrh = 2π(3)(8) = 150.8 in².

Front

What is the formula for the area of a triangle?

Back

Area = 1/2(base x height).

Front

How do you find the surface area of a prism with a polygonal base?

Back

Calculate the area of the base, multiply by 2, and add the lateral area (Perimeter of Base x Height).

Front

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

Back

Total Surface Area = 2π(4)(10 + 4) = 351.86 cm².

Front

What is the surface area of a cube with side length 5 cm?

Back

Total Surface Area = 6s² = 6(5)² = 150 cm².