11.2 Surface Area of Prisms and Cylinders

Front

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

Back

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

Front

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

Back

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

Front

How do you calculate the surface area of a triangular prism?

Back

Surface Area = base area + lateral area. Lateral area = perimeter of base × height.

Front

What is the surface area of a cube with side length 4 cm?

Back

Surface Area = 6s² = 6(4)² = 96 cm².

Front

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

Back

Surface Area = 2π(3)(5 + 3) = 2π(3)(8) = 48π cm².

Front

Define lateral surface area in the context of prisms and cylinders.

Back

Lateral surface area is the area of the sides of the prism or cylinder, excluding the bases.

Front

What is the total surface area of a prism?

Back

Total Surface Area = Lateral Surface Area + Area of the two bases.

Front

How do you find the surface area of a cone?

Back

Surface Area = πr(r + l), where r = radius and l = slant height.

Front

What is the surface area of a triangular prism with a base area of 30 cm², a height of 10 cm, and a lateral area of 60 cm²?

Back

Surface Area = base area + lateral area = 30 + 60 = 90 cm².

Front

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

Back

Surface Area = 2π(2)(10 + 2) = 48π cm².