Study notes on “PRISM AND PYRAMID”


PRISM

A
prism is a solid, whose side faces are parallelograms and whose ends (or bases)
are congruent parallel rectilinear figures.

Lateral Surface area: The
surface area is the area that describes the material that will be used to cover
a geometric solid. When we determine the surface areas of a geometric solid we
take the sum of the area for each geometric form within the solid.

Volume: The volume tells
us something about the capacity of a figure

Total surface area: Area
of lateral surface + base area
Volume of prism = Area of base × Height.
Lateral Surface area = Perimeter of base × Height.
Total surface area = Lateral surface area + 2(Area of base)

Pyramid

A pyramid is a polyhedron whose base is a polygon of any
number of sides and whose other faces are triangle with a common vertex.


Volume of pyramid = 1/3 (Area of base) × height
Lateral Surface area = 1/2 (Perimeter of base) × Slant
height.

Total surface area = Area of base + lateral surface area.

Vertex: The common vertex of the triangular faces of a pyramid is called the vertex of the pyramid.

Slant height: The slant height of regular right-pyramid is
the line segment joining the vertex to the mid-point of anyone of the sides of
the base.

Lateral faces:  The side of a pyramid are known as its lateral faces. If the
base of a pyramid is a polygon of n sides then it has n lateral faces, each one
of which is a triangle and 2n edges