10.2.1 Surface Area of Prisms and Cylinders Flashcards
lateral face
it is not a base
lateral edge
it is not an edge of a base
lateral faces
of a right prism are all rectangles
oblique prism
has at least one nonrectangular lateral face
altitude of a prism or cylinder
a perpendicular segment joining the planes of the bases
Surface area
the total area of all faces and curved surfaces of a three-dimensional figure
lateral surface of a cylinder
is the curved surface that connects the two bases
axis of a cylinder
the segment with endpoints at the centers of the bases
axis of a right cylinder
perpendicular to its bases
axis of an oblique cylinder
not perpendicular to its bases
Lateral Area of a Right Prism
The lateral area of a right prism with base perimeter P and height h is L = Ph
Surface Area of a Right Prism
The surface area of a right prism with lateral area L and base area B is S = L + 2B, or S = Ph + 2B
Surface Area of a Cube
The surface area of a cube with edge length s is S = s^2
Lateral Area of a Right Cylinder
The lateral area of a right cylinder with radius r and height h is L = 2πrh.
Surface Area of a Right Cylinder
The surface area of a right cylinder with lateral area L and base area B is S = L + 2B, or S = 2πrh + 2πr^2