Right Triangular Prism Dimensions Base 3’ x 4’ x 5’ Height = 8’ Let each foot be 1 centimeter in your physical model Net construction on Paper Triangular Base
Draw a 5 cm segment in the middle of your paper.
Use your compass to make a 3 cm arc from point A.
Use your compass to make a 4 cm arc from point B.
Label the intersection point C and connect to points A and B.

Lateral Faces
Use a 3x5 card to extend 2 rays from each vertex. Each ray will be perpendicular to one of the edges of the triangle.
Measure an 8 cm segment on each of the rays and connect to form rectangles. Top Face
Construct another right triangle at the edge of one of the lateral faces.
It is easiest to place it at the opposite end of the 5 x 8 rectangle.
When you are done, cut out the net and fold as necessary.
Do not glue or tape the edges together unless your teacher tells you to. Net Construction in SketchUp

Surface Area
Trace the net onto a clean sheet of paper
Copy the dimensions as necessary
Calculate the area of each face
Record the Lateral Surface Area and the Total Surface Area on your paper with comments to explain your work. Volume
Examine the folded net and estimate how many cubic centimeters will be contained in your prism. Use actual cubes to help you think.
Questions you might ask: How many 1x1 squares cover the base? How high would a tower of 1x1 cubes need to be to match the height of this prism?

[Go to the Net Folding page for directions on how to fold into a prism.] SOLUTION PAGE

Right Triangular Prism DimensionsBase 3’ x 4’ x 5’ Height = 8’Let each foot be 1 centimeter in your physical modelNet construction on PaperTriangular BaseDraw a 5 cm segment in the middle of your paper.

Use your compass to make a 3 cm arc from point A.

Use your compass to make a 4 cm arc from point B.

Label the intersection point C and connect to points A and B.

Lateral FacesUse a 3x5 card to extend 2 rays from each vertex. Each ray will be perpendicular to one of the edges of the triangle.

Measure an 8 cm segment on each of the rays and connect to form rectangles.

Top FaceConstruct another right triangle at the edge of one of the lateral faces.

It is easiest to place it at the opposite end of the 5 x 8 rectangle.

When you are done, cut out the net and fold as necessary.

Do not glue or tape the edges together unless your teacher tells you to.

Net Construction in SketchUpScreencast for the Base Construction

Don't forget to save your file!

Screencast for the prism construction

Woops. I said "feet" in the video, but used the meters template because I did not want messy fractions.

Surface AreaTrace the net onto a clean sheet of paper

Copy the dimensions as necessary

Calculate the area of each face

Record the

Lateral Surface Areaand theTotal Surface Areaon your paper with comments to explain your work.VolumeExamine the folded net and estimate how many cubic centimeters will be contained in your prism. Use actual cubes to help you think.

Questions you might ask:

How many 1x1 squares cover the base?How high would a tower of 1x1 cubes need to be to match the height of this prism?[Go to the Net Folding page for directions on how to fold into a prism.]

SOLUTION PAGE