Surface Area of prisms and cylinders

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 is the formula for the surface area of a cylinder?

Back

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

Front

Define surface area.

Back

Surface area is the total area that the surface of a three-dimensional object occupies.

Front

What does 'Ph' represent in the surface area formula for prisms?

Back

'Ph' represents the lateral surface area, where P is the perimeter of the base and h is the height.

Front

What is the surface area of a rectangular prism with dimensions 8 in. by 3 in. by 2 in.?

Back

SA = 2(8*3 + 8*2 + 3*2) = 2(24 + 16 + 6) = 2(46) = 92 in².

Front

What is the surface area of a cylinder with a radius of 5 in. and a height of 10 in.?

Back

SA = 2π(5)(10) + 2π(5)² = 100π + 50π = 150π ≈ 471.24 in².

Front

What is the lateral surface area of a cylinder?

Back

The lateral surface area is the area of the curved surface, calculated as 2πrh.

Front

What is the base area of a cylinder with a radius of 4 cm?

Back

Base area = πr² = π(4)² = 16π ≈ 50.27 cm².

Front

How do you calculate the surface area of a box?

Back

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

Front

What is the surface area of a cylinder with a radius of 7 in. and a height of 15 in.?

Back

SA = 2π(7)(15) + 2π(7)² = 210π + 49π = 259π ≈ 814.16 in².