Rectangular Pyramid 6' x 3' x 5'
Figure Eight: Rectangular Pyramid
Figure Eight: Rectangular Pyramid
Dimensions: Base 6’ x 3’ ; Height of 5’
SCALE MODEL
SCALE MODEL
Net Sketch on Paper (need graphic)
For the Euclidean construction, use your compass and straight edge to construct each of the perpendicular lines. Let 1 foot be represented by half an inch in this model so it will fit on a regular sheet of paper.
Rectangular Base
Draw a 3 inch x 1 1/2 inch square in the middle of your paper. Use the 3x5 card to guide you.
Lateral Faces
- Locate the midpoint of each side of the square. Use your compass to do this step.
- Use a 3x5 card to draw a guide line from the midpoints perpendicular to each side.
- On the 3 inch sides, measure and draw 2 5/8 inch segments on each guideline (where did this measurement come from?)
- On the 1 1/2 inch sides, measure and draw 2 7/8 inch segments on each guideline (where did this measure come from?)
- Note that because the base is a rectangle, the dimensions for the adjacent lateral faces of the base are different.
- Connect to form a triangle on each edge of the square.
- 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.
Create the Net in SketchUp (Scale Model)
Find the Lateral Surface Area and Volume
Step 1a - Find the slant height for the skinny triangles
Step 1b - Find the slant height for the fat triangles
Step 2 - Find the area of the skinny and fat triangular faces
Step 3 - Find the lateral surface area
Find the Volume
Find the lateral edges