Chapter 12

Question 1

polyhedron

Answer 1

a solid that is bounded by polygons, called faces, that enclose a single region of space

Question 2

face of a polyhedron

Answer 2

the polygons that bound the polyhedron

Question 3

edge of a polyhedron

Answer 3

a line segment formed by the intersection of two faces of a polyhedron

Question 4

vertex of a polyhedron

Answer 4

a point where three or more edges meet

Question 5

octahedron

Answer 5

a polyhedron with 8 faces

Question 6

dodecahedron

Answer 6

a polyhedron with 12 faces

Question 7

icosahedron

Answer 7

a polyhedron with 20 faces

Question 8

convex

Answer 8

if any two points on its surface can be connected by a line segment that lies entirely inside or entirely on the polyhedron

Question 9

regular polyhedron

Answer 9

a polyhedron where all of the faces are congruent regular polygons and the same number of faces meet at each vertex in exactly the same way

Question 10

regular octahedron

Answer 10

a regular polyhedron with 8 triangular faces

Question 11

surface of a polyhedron

Answer 11

consists of all points on its faces

Question 12

regular tetrahedron

Answer 12

a regular polyhedron with 4 triangular faces

Question 13

prism

Answer 13

a polyhedron that has 2 congruent parallel faces called bases

Question 14

lateral faces

Answer 14

the faces of a polyhedron that are parallelograms formed by connecting corresponding vertices of the bases

Question 15

lateral edges

Answer 15

the segments connecting the corresponding vertices of a polyhedron

Question 16

altitude/height of a prism

Answer 16

perpendicular distance between the bases

Question 17

right prism

Answer 17

each lateral edge is perpendicular to both bases

Question 18

oblique prism

Answer 18

prism that has lateral edges that are not perpendicular to the bases

Question 19

slant height

Answer 19

length of the oblique lateral edges

Question 20

surface area of a polyhedron

Answer 20

sum of the areas of all faces

Question 21

surface area of a right prism thm

Answer 21

the surface area, SA, of a right prism is SA=2B+Ph

where B=area of base, P=perimeter of base, and h=height of prism

Question 22

circular cylinder

Answer 22

a solid with 2 congruent bases that lie in parallel planes

Question 23

right cylinder

Answer 23

a cylinder where the segment joining the centers of its bases is perpendicular to its bases

Question 24

surface area of a right cylinder thm

Answer 24

the surfaces area, SA, of a right cylinder is SA=2B+Ch

where B=area of base, C=circumference of base, and h=height of cylinder

Question 25

volume

Answer 25

the # of cubic units contained in a solid’s interior

Question 26

volume of a cub

Answer 26

V=s^3

Question 27

volume of a prism/cylinder thm

Answer 27

V=Bh, were B=area of the base, h=height of prism/cylinder

Question 28

altitude/height of a cylinder

Answer 28

the perpendicular distance between its bases