Surface Area of Prisms

Front

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

Back

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

Front

What does 'P' represent in the surface area formula SA = Ph + 2B?

Back

'P' represents the perimeter of the base of the prism.

Front

What does 'h' represent in the surface area formula SA = Ph + 2B?

Back

'h' represents the height of the prism.

Front

What does 'B' represent in the surface area formula SA = Ph + 2B?

Back

'B' represents the area of the base of the prism.

Front

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

Back

SA = 2lw + 2lh + 2wh = 2(6)(3) + 2(6)(4) + 2(3)(4) = 2(18) + 2(24) + 2(12) = 36 + 48 + 24 = 108 square inches.

Front

What is a triangular prism?

Back

A triangular prism is a 3D solid with two triangular bases and three rectangular faces.

Front

How do you find the lateral surface area of a prism?

Back

Lateral surface area = Ph, where P is the perimeter of the base and h is the height of the prism.

Front

What is the lateral surface area of a triangular prism with a base perimeter of 12 inches and a height of 5 inches?

Back

Lateral surface area = Ph = 12 * 5 = 60 square inches.

Front

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

Back

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

Front

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

Back

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