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Surface Area of Prisms and Cylinders
12.2
California State Standards
8, 9: Solve problems involving the surface area lateral area of geometric solids and
COMMIT TO MEMORY THE
NECESSARY FORMULAS.
definitionsPrism Bases: two congruent, parallel polygons Lateral faces: parallelograms formed by connecting corresponding vertices of the bases. Altitude: the perpendicular distance between its bases. A prism is named for its bases
Triangular PrismRectangular Prism
Pentagonal Prism
definition
Right Prism The lateral faces are perpendicular to the bases
Oblique Prism The lateral faces are not perpendicular to the bases
definitionsCylinder Bases: two congruent-parallel circles Lateral face: a rectangle connecting the bases Altitude: the perpendicular distance between its
bases.
definitionsCylinder Right Cylinder: a segment joining the centers of the
bases is perpendicular to the bases.
right cylinder
definitions
Surface AreaThe sum of the area of a polyhedron’s faces.
how much wrapping paper is needed for a boxLateral area: the area of the lateral faces
how much paint for the walls of a room.
exampleWhat would the polyhedron look like if laid flat?
back
front
bottomleftside
rightside
leftroof
rightroof
The two-dimensional representation of a three-dimensional figure is called a
NET.
exampleWhat would the cylinder look like laid flat?
top
bottom
“label”
Remember: this is
called a NET.