12.1-12.3 Flashcards
face
2D shape
edge
line segment
vertex
point or corner where edges intersect
polyhedron
3D shape
Euler’s formula
F+V=E+2 (faces + vertices = edges + 2)
cross section
intersection of solid and a plane
isometric drawing
corner view of 3D object
a cross section is described by
the 2D shape formed
bases in prism
2 parellel congruent polygons
lateral faces
each face that connects bases
altitude (height)
perpendicular segment that connects parallel bases
LA formula for prisims
Ph (Perimeter of base x height of object)
SA formula for prisms
LA+2B (LA+ 2 x area of base)
base in cylinder
2 parallel congruent circles
LA formula in cylinders
Ph (2pirh)
SA formula in cylinders
LA+2B (2pirh+2pir^2)
base in pyramid
polygon at the bottom of a pyramid
lateral faces in pyramid
triangular sides of pyramid
lateral edge in pyramid
segment where two faces meet
vertex
point where all lateral faces meet
altitude in pyramid
perpendicular segment from vertex to base
slant height (l)
segment along each lateral face
LA in pyramids
1/2Pl
SA in pyramids
1/2Pl+B
base in cone
bottom of cone (circle)
height/altitude in cone
perpendicular from vertex to base
slant height in cone
length alongside of cone, vertex to base
LA in cone
pirl
SA in cone
pirl+pir^2
best friends
cylinders and prisms, cones and pyramids