12.2 Surface Area of Prisms and Cylinders Flashcards
lateral faces
parallelograms formed by connecting corresponding vertices of the bases
lateral edges
the segments connecting these corresponding vertices
altitude/height of a prism
PERPENDICULAR distance between the base
*could be drawn outside the shape
right prism
each lateral edges is perpendicular to both bases, each lateral face is a rectangle, lateral edges are also the height/altitude of the prism
oblique prism
prim that has lateral edges that are NOT perpendicular to the bases, lateral faces are NOT ALL rectangles (they’re still pgrams), lateral edges are NOT altitudes
slant height
length of the oblique lateral edges
*cursive L
surface area of a polyhedron
the sum (+) of the areas of its bases
Surface Area of a Right Prism Theorem
the surface area, SA, of a RIGHT PRISM is SA=2B+Ph
where B=area of one base, P=perimeter of the base, h=height of the prism
lateral area
the area of all the lateral faces, do NOT include the area of the bases
LA=Ph
circular cylinder (“cylinder”)
a solid with two congruent circular bases that lie in parallel planes
altitude/height of a cylinder
the perpendicular distance between its bases
right cylinder
a cylinder where the segment joining the centers of its bases is PERPENDICULAR to its bases
Surface Area of a Right Cylinder Theorem
the surface area, SA, of a right cylinder is SA=2B+Ch –> SA=2(pi squared)+2(pi)r
where B=area of the base, C=circumference of the base, r=radius of the base, h=height is the cylinder
*KEEP PI IN THE ANSWER
prism
a polyhedron that has two parallel and congruent faces, which are called bases
