Surface Area of Prisms and Cylinders

Front

What is the total surface area of a prism?

Back

The total surface area of a prism is the sum of the areas of all its faces, including the bases.

Front

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

Back

SA = 2lw + 2lh + 2wh, where l = length, w = width, h = height.

Front

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

Back

SA = bh + l1h + l2h + l3h, where b = base area, l1, l2, l3 = lengths of the triangular sides, h = height.

Front

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

Back

SA = 2πrh + 2πr², where r = radius, h = height.

Front

What is lateral surface area?

Back

The lateral surface area is the area of all the sides of a 3D shape, excluding 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 difference between total surface area and lateral surface area?

Back

Total surface area includes the area of the bases, while lateral surface area only includes the sides.

Front

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

Back

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

Front

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

Back

SA = 2π(3)(5) + 2π(3)² = 30π + 18π = 48π cm².

Front

What is the surface area of a triangular prism with a base area of 20 cm² and height of 10 cm?

Back

SA = 20 + (perimeter of base * height). Calculate perimeter and substitute to find SA.