Chapter 9 Flashcards
solids or solid figures
three dimensional shapes
polyhedron
a solid formed by polygons
faces
the plane surfaces
edges
the segments joining the vertices
Types of solids
Rectangular Prism, Triangular Prism, Cube (Square prism)
Rectangular pyramid, triangular pyramid, pentagonal pyramid
Cylinder, Cone, Sphere
Prism
a polyhedron with two congruent faces that lie in parallel planes
surface area
the sum of the areas of polyhedron’s faces
Lateral faces
faces of the prism that are not bases
Lateral area
the sum of the areas of the lateral faces
Surface area of a prism
Surface area = 2(area of base) + (perimeter of base)(height)
cylinder
a solid with two congruent circular bases that lie in parallel planes
The lateral area of a cylinder is the area of the curved surface
Surface area of a cylinder
Surface area = 2(area of bases) + (circumference of base)(height)
pyramid
a polygon and the lateral faces are triangles with a common vertex
height of a pyramid
the perpendicular distance between the vertex and base
slant height of a pyramid
the height of any of its lateral faces
(slant height)^2 = (height)^2 + (1/2 side)^2