1. Discuss in your teams (write down everything you know about) the following:
May look at figures in box to give you some ideas.
Geometric Solid:
Face of a solid:
Lateral Faces of a solid:
Prisms:
Pyramids:
Regular Pyramid:
Height of Pyramid:
Slant Height of Pyramid:
Cylinders:
Cones: Edges of a solid:
Vertices of a solid:
Net of a solid:

2. Geometric Solids
Geometric Solid :
A 3-dimensional (3D) figure that encloses space.
Sides : polygons
Bases : polygons or circles
Faces of a solid: sides of polygons

3. Types of solids:
1) Prism a) 2 congruent bases (polygons of any shape),
b) all faces are rectangles
c) named by shape of base
Lateral faces – faces that are NOT bases
Lateral area – sum of areas of lateral faces
Examples:
Rectangular Prism Triangular Prism Cube

4. 2) Pyramid a) 1 base of any polygon
b) All faces are triangles
Examples:
Square Pyramid, Triangular Pyramid, Pentagonal Pyramid
Height of pyramid: Perpendicular distance from base to faces common vertex
Regular Pyramid : Base is regular polygon
Faces are congruent, isosceles triangles
Slant height: height of triangular faces in regular polygon

5. 3. Cylinder – 2 Bases that must be
a) circular
b) congruent
c) parallel
Lateral face : curved surface (not the circles)
Example:
4. Cone – 1 circular base
Example

6. Edges: segments that faces of a prism or pyramid share
Vertices: Points where edges meet
Net: The flat drawing of a solid –
- can create net by cutting along edges of solid and folding faces down flat.

7. Review these terms with your team - Discuss - 2 minutes
Geometric Solid:
Face of a solid:
Lateral Faces of a solid:
Prisms:
Pyramids:
Regular Pyramid:
Height of Pyramid:
Slant Height of Pyramid:
Cylinders:
Cones: Edges of a solid:
Vertices of a solid:
Net of a solid:

8. Area of ALL lateral faces Surface Area:
Polyhedra: 3D
Flat faces
Straight edges
NO CURVES
Lateral Area:
Area of ALL lateral faces
Surface Area:
the sum of the areas of all the surfaces.
*** Use nets to find surface area

9. Examples: ft
p. 541, # ft
12 ft
SA = Front + back + left + right + top + bottom
SA =
SA = (lh) + (lh) + (wh) + (wh) + (lw) + (lw)
SA = (12)(2) + (12)(2) + (9)(2) + (9)(2) + (12)(9) + (12)(9)
SA =
SA = 300 ft2

10. SA = 471 in2 #4 8in 11 in. SA = Top + bottom + side SA = + +
NOTE: in net of cylinder, side is rectangle, so area of side is lw of that rectangle.
Length = circumference of top,
width = height of cylinder
SA = 471 in2

11. #5
13 cm
12 cm
4 cm
5 cm
SA = Front + back + right + left + bottom
SA =
SA =
SA = 180 cm2

12. SA = Front + back + right + left + bottom
p.547, #3
15 in
16 in
16 in
SA = Front + back + right + left + bottom
SA =
SA = 736 in2

13. Homework: p. 541, #6-12 all, 14,
p. 547, #7, 10, 14