PRISMS--SURFACE AREA
LATERAL AREA of a prism = sum of the areas of its lateral faces. (the lateral
faces are always what shape?)

LATERAL AREA OF A PRISM IS GIVEN BY THE FORMULA:




THE TOTAL AREA OF A PRISM:







PRISMS--VOLUME



VOLUME--PRISMS

THE VOLUME OF A RIGHT PRISM IS GIVEN BY THE FORMULA:




VOLUME is always measured in CUBIC UNITS:

in, ft, cm, mm, etc



PYRAMIDS

PYRAMIDS take their name from the shape of their bases. Most pyramids we
study are "regular" pyramids:
--base is regular polygon
--edges all congruent
--lateral faces all congruent isosceles triangles
--altitude hits center of base




PYRAMIDS--LATERAL AREA AND TOTAL AREA
LATERAL AREA OF A PYRAMID = SUM OF AREAS OF LATERAL FACES ( what
shape are these?)

LATERAL AREA OF A REGULAR PYRAMID IS GIVEN BY THE
FORMULA:



TOTAL AREA OF A PYRAMID = LATERAL AREA + AREA OF BASE

PYRAMIDS--VOLUME

THE VOLUME OF A REGULAR PYRAMID IS GIVEN BY THE FORMULA:






CYLINDERS AND CONES
CYLINDER refers to "right" cylinders

LATERAL AREA OF A CYLINDER:





TOTAL AREA OF A CYLINDER




VOLUME OF A CYLINDER:





CYLINDERS AND CONES
CONE refers to "right" cones

LATERAL AREA OF A CONE




TOTAL AREA OF A CONE




VOLUME OF A CONE




SPHERES

THE AREA OF A SPHERE:




VOLUME OF A SPHERE: