SA Flashcards
is a polyhedron in which two faces are equal in parallel planes and all other faces are parallelograms.
prism
a prism whose lateral faces or lateral edges are perpendicular to the two bases.
right prism
is a prism whose lateral faces or lateral edges are not perpendicular to its bases. A prism leans to one side, but the two ends are still parallel, and the side faces still parallelogram
oblique prism
A right prism whose bases are regular polygons
regular prism
is a section made by a plane perpendicular to the lateral edges.
right section of a prism
is equal to the product of a lateral edge and the perimeter of the right section.
lateral area of a prism
is equal to the sum of the areas of the upper and lower bases plus the lateral area.
total area or surface area of a prism
amount of space occupied by a prism
volume of a prism
is a perfectly symmetrical object with no edges and vertices. It is a round object generated by revolving a semicircle with the diameter as the axis of revolution.
sphere
the curved surface of sphere
spherical surface
passing through the center and ending at the surface is
diameter
straight line connecting its center with any point on the surface
radius
solid formed by one nappe of a closed surface and a plane cutting all the elements of the line is called.
cone
the plane is
base
surface of the cone
lateral surface
the cone is the perpendicular distance from the vertex (apex) to the base of the cone.
altitude or the height
A cone whose base is a circle and whose lateral surface tapers uniformly to the apex is called a
circular cone
circular cone whose axis is perpendicular to the base
right circular cone
is the distance from the vertex to the circumference of the base
slant height 𝒍
of the cone is the radius of its circular base
radius r
of a right circular cone is equal to one-half the product of the circumference of the base and the slant height.
lateral area
of a right circular cone is equal to the sum of the lateral area and the area of its base.
TOTAL AREA (TA)
a right circular cone is equal to one-third the product of the base and its altitude
volume V
is a polyhedron of which one face, called the base, is a polygon of any number of sides and the other faces are triangles that have a common point.
pyramid
common point where the lateral faces meet
vertex or apex
the perpendicular distance from the apex to the centre of the base.
altitude
pyramid whose baseis a triangle is a triangular pyramid (four faces, six edges, and four vertices)
tetrahedron
is directly above the center of the base the pyramid is said to be
right pyramid
is the length of the perpendicular dropped from the vertex to the plane of the base.
altitude of pyramid
is equal to one-half the product of the perimeter of the base and the slant height.
lateral area of regular pyramid
is equal to one-third the product of the base and the altitude.
volume of a regular pyramid
is a surface generated by a straight line which moves along a fixed curve, and which remains parallel to a fixed line not on the curve
cylindrical surface
is a solid bounded by a closed cylindrical surface and two parallel planes cutting all the elements of the surface
cylinder
two parallel planes (in cylinder)
bases of cylinder
cylindrical surface of (cylinder)
lateral surface
perpendicular distance between the bases of the cylinder
altitude
section perpendicular to the axis of the cylinder
right section of cylinder
cylinder whose bases are circles
circular cylinder
is a cylinder whose bases are circles and whose elements are perpendicular to its base.
right circular cylinder
The perpendicular distance between the circular bases of a cylinder
height
The radius of the base is called
radius of cylinder
is equal to the product of the circumference of the base and its altitude. If the radius of the cylinder and its altitude are given
lateral area of cylinder
lateral area is equal to the product of the circumference of the right section and the length of the lateral face.
oblique circular cylinder
of a right circular cylinder is equal to the sum of its upperand lower bases plus its lateral area
total surface of area
of a right circular cylinder is equal to the product of the area of the base and its altitude.
volume of a cylinder