Name/Description

Visual
representation

Lateral
Surface Area
()

Total Surface Area ()

Volume (V)


Polyhedron
A geometric solid that is bounded by plane polygons.

Prism
A polyhedron with two congruent parallel nsided polygons (bases) and n parallelograms as sides between the two basis.

Right Prism
A prism whose sides’ joining edges and sides’ faces are perpendicular to the bases.
Its sides are rectangles.


OR can be calculated as
where the sides are rectangles (look here for rectangle formula).

To calculate the , figure out what is the base’s shape and look here for its formula.

To calculate the , figure out what is the base’s shape and look here for its formula.

Oblique Prism
A prism whose sides’ joining edges and sides’ faces are not perpendicular to the bases.
Its sides are parallelograms.


OR can be calculated as
where the sides are parallelograms (look here for parallelogram formula).

To calculate the , figure out what is the base’s shape and look here for its formula.

To calculate the , figure out what is the base’s shape and look here for its formula.

Parallelepiped
A prism whose bases are parallelograms.
In this case is a
Rectangular Parallelepiped
A right prism whose bases are rectangles.





Cube
A rectangular parallelepiped whose sides and bases are equal squares.





Pyramid
A polyhedron with a polygonal base and triangles for sides.


in our example:

To calculate the , figure out what is the base’s shape and look here for its formula.

To calculate the , figure out what is the base’s shape and look here for its formula.

Truncated Pyramid (Pyramidal Frustum)
A polyhedron with two polygonal parallel bases and trapezoids for sides.
OR
A portion of the pyramid that lies in between two parallel planes.
Its sides are trapezoids.
(for trapezoid formula look here)


in our example:

To calculate the and, figure out what are the bases’ shapes and look here for their formulas.

To calculate the and, figure out what are the bases’ shapes and look here for their formulas.

Cylinder
A geometric solid that has two parallel plane circular bases, connected by a curved surface.

Right Cylinder
A cylinder that has circular bases connected by a curved surface perpendicular on the bases.
In this case the base is a circle.


in our example:

in our example:

in our example:

Oblique Cylinder
A cylinder that has circular bases connected by a curved surface that is not perpendicular on the bases.
In this case the base is a circle.


in our example:
.

in our example:

in our example:

Cone
A geometric solid that is bounded by a plane circular base and a surface generated by a straight line, the generatrix or the slant height, passing through a fixed point, the vertex, and moving along a closed curve, the diretrix (the base’s perimeter).

Right Circular Cone
A cone that has the axis passing through the vertex and center of the base, perpendicular on the base.
The base is a circle.


where:



Truncated Cone (Conical Frustum)
A portion of the cone that lies in between two parallel planes


where:



Sphere
A geometric solid that is generated by a semicircle that rotates about an axis.
OR
A geometric solid that is bounded by a surface generated by a set of points equidistant from a fixed point named center.

Sphere





Spherical segment
A portion of the sphere that lies in between two parallel planes





Spherical cap
Is a portion of a sphere that is above or below a plane that intersects that sphere.





Spherical sector
A geometric solid that is generated by a circle sector that rotates about an axis.





leave a comment