1. 1.7 Three-Dimensional Figures
Objective:Identify and name three-dimensional figures and find surface area and volume of the figures
Describe the polyhedron or solid that can be made from a given net including the Platonic Solids.
Extend the study of planar figures to three-dimensions, including the classical solid figures, and develop analysis through cross-sections.
Give precise mathematical descriptions or definitions of geometric shapes in the plane and space. ,
Describe solids and/or surfaces in three-dimensional space when given two-dimensional representations for the surfaces of three-dimensional objects. , Develop and use special formulas relating to polyhedra (e.g., Euler’s Formula).

2. Polyhedron Solid with all flat surfaces Named by the Shape of Base
Prism
Pyramid
Not Polyhedrons
Cylinder
Cone
Sphere
Named by the Shape of Base

3. Polyhedron

4. Is the solid is a polyhedron. Then identify the solid
Is the solid is a polyhedron? Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices.
rectangular prism;
Bases: rectangles EFHG, ABDC
Faces: rectangles FBDH, EACG, GCDH, EFBA, EFHG, ABDC
Vertices: A, B, C, D, E, F, G, H

5. Determine whether the solid is a polyhedron. Then identify the solid
Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices
hexagonal prism;
Bases: hexagon EFGHIJ and hexagon KLMNOP
Faces: rectangles EFLK, FGML, GHNM, HNOI, IOPJ, JPKE; hexagons EFGHIJ and KLMNOP
Vertices: E, F, G, H, I, J, K, L, M, N, O, P

6. Determine whether the solid is a polyhedron. Then identify the solid
Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices
Not a polyhedron

7. Regular Polyhedron
All sides are regular congruent polygons

8. Surface Area and Volume
Slant Height
Height

9. Example
Mike is creating a mailing tube which can be used to mail posters and architectural plans. The diameter of the base is 3 ¾ inches, and the height is 2 2/3 feet. Find the amount of cardboard Mike needs to make the tube.
Surface area of a cylinder
r = in., h = 32 in.
A = 399.1
Answer: Mike needs about square inches of cardboard to make the tube.

10. Assignment Block Class Page 71, 6 - 26 even
Extra Credit 1-7 Lab complete problems 1-12, 1 point each on Test

11. Assignment Honors Class Page 71, 12 - 28 every 4th, 32,34,38
Complete Lab 1.7 problems 2-12 even