Download pyramid: a solid that has only one base. vertex: the point

GEOMETRY/TRIGONOMETRY 2
Name _______________________
V
pyramid: a solid that has only one base.
vertex: the point where all the lateral faces intersect.
lateral faces: are ___________________ .
lateral edges: the segments where lateral faces intersect.
P
T
Q
S
R
altitude: a _________________ segment from the vertex to the base.
height (h): the length of an _________________.
regular pyramid: has a regular polygon as its base.
 All lateral faces are __________________ triangles.
 __________________(l): the length of the altitude of
the triangle that is a lateral face.
 All lateral edges are ___________________.
 The altitude of the pyramid meets the base at its _______________.
Theorem 12-3:
The lateral area of a regular pyramid equals half the perimeter of the
base times the slant height.
L.A. = ________
The total area of a regular pyramid equals the lateral area (L.A.) plus
the area of its base (B).
T.A. = ________
Theorem 12-2:
The volume of a regular pyramid equals one third the area of a base
times the height of the pyramid.
V = ________
Exercises 1-4 refer to regular square pyramids. Complete the table.
1)
height
8
slant
height (l)
10
b.e.
2)
3)
17
15
16
12
l.e.
4)
10
13
5) Find (a) the lateral area, (b) the total area, and (c) the volume of the regular square
pyramid.
12
10
a) L.A. = _______________________
b) T.A. = _______________________
c)
V = _______________________