Square Pyramid Slant Height
Figure Seven: 6' x 6' Square Pyramid with a slant height of 5'
Figure Seven: 6' x 6' Square Pyramid with a slant height of 5'
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.
Square Base
- Draw a 3 x 3 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.
- Measure and draw 2 inch segments on each guideline (where did this measurement come from?)
- Connect to form a triangle on each edge of the square.
Create the Physical Model
- 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
Find the Lateral Surface Area and Volume
Step 1 - Find the slant height
Step 2 - Find the area of one triangular face
Step 3 - Find the lateral surface area
Find the Volume