# Net_Prism3-4-5

Rectangular Prism Dimensions
3' x 4' x 5’
Let each foot be 1 centimeter in your physical model

Net construction on Paper
Rectangular Base
Draw a 4 cm segment in the middle of your paper.
Use a 3x5 card to extend 2 parallel rays perpendicular to the segment.
Measure a 3 cm segment on both of the rays and connect to form a rectangle.
Lateral Faces
Use a 3x5 card to extend 2 rays from each vertex of the rectangle. The rays are guidelines.
Measure a 5 cm segment on each of the rays and connect to form four rectangles.
Top Face
Construct another rectangle at the edge of one of the lateral faces.
It is easiest to place it at the opposite end of the 3 x 4 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
Note that guidelines are used prior to drawing the segments. Use the Escape key to draw individual segments.
Rectangular Prism Net Screencast

Don't forget to save your file!

Surface Area
Trace your 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 your 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.]
SOLUTIONS PAGE