Learning to Find Surface Area, and Volume of Right Prisms. Introduction to Similarity In Volumes and Surface Area.

Could you answer to your teacher how many gallons of water fit into an olympic pool? Or could you tell your dad, or mom how many cubic feet of air should the new A/C unit cool in the winter, and warm in the summer in the living room of your house? For both you would need to know how to find the volume of a prism (Should the living room be in the shape of a prism). Did you know that you may represent the expansion of a binomial to the cube as the product of the edges of a prism?

There isn't a volume that will be more useful for you to know how to calculate that the volume of a prism. The surface area, and volume of prisms are everywhere you want to build, or decorate. This lesson will teach you how you may identify the different types of prisms, and you will be given several examples of how to find surface area, and volume of prisms with different polygons as bases. As with all of the lessons in this web site, you will find very engaging and useful the use of colors, and animations to highlight the sequence in the solution of the examples. You will have the capacity to check for understanding by taking the optional suggested problems that appear after the examples. You are one click away from success!

Lesson's Content

Lesson In PDF Format (no animations)


Lesson's Glossary

A segment that helps to make up a face.

A polygonal region of a surface.

Hidden lines
Broken lines used to signify lines that normally wouldn't be seen in a drawing.  

Lateral area.

Lateral area
The area of the lateral surface of a solid.

Lateral edge
A segment whose endpoints are corresponding points of a cylindrical solid's bases, or whose endpoints are the vertex of a conic solid and a vertex of its base.

Lateral faces
The faces of the lateral surface of a prism, or a face of a pyramid that is not a base.

Lateral surface
The surface not included in the base (s).

Oblique prism or cylinder
A non-right prism or cylinder.

A prism whose opposite faces are all parallelograms and congruent (in pairs).

A three-dimensional surface which is the union of polygonal regions and has no holes.

It is a polyhedron that has two congruent and parallel faces, called bases. The remaining faces, which are parallelograms are called lateral faces. The altitude is the perpendicular segment whose endpoints are at the bases. The length of the altitude is the height of the prism. A right prism is one with all lateral faces rectangles. An oblique rectangle has some to be nonrectangular.    

Right prism
A prism whose direction of sliding is perpendicular to the plane of the base.

The union of the surface and the region of space enclosed by a 3-D figure; examples: conic solid, cylindrical solid, rectangular solid.

Solid geometry
The study of figures in three-dimensional space.

The boundary of a 3-D figure.

Surface area
The total area of the surface of a solid.

Unit cube
Unit of measuring volume.


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