JRLeon Geometry Chapter 9.4 HGSH

Story ProblemsLesson 9.4

You have learned that drawing a diagram will help you to solve difficult problems.By now you know to look for many special relationships in your diagrams, such ascongruent polygons, parallel lines, and right triangles.

What is the longest stick that will fit inside a 24-by-30-by-18-inch box?

Example:

JRLeon Geometry Chapter 9.4 HGSH

Story ProblemsLesson 9.4

Example:A regular hexagonal prism fits perfectly inside a cylindrical box with diameter 6 cm and height 10 cm. What is the surface area of the prism? What is the surface area of the cylinder?

6cm

3cm

The Hexagon is made of equilateral/equiangular triangles and this is a 30°- 60°- 90° triangle.

1.5cm 1.5cm

1.5

cm

r= 3cm

10 cm

6 cm

6 Faces:A = bhnA = (3)(10)(6)A = 180cm2

6 Triangles:A = ½ bhnA = ½(3)(1.5 )(6)A= (3)(3)(1.5 )A= 13.5 andthere are 2 bases.A = 27 cm2

Hexagon Prism SA = (27 + 180 )cm2

A = r2

A = 32

A = 9 cm2

Two BasesA = 18 cm2

Area of the cylinder: 2rhA =2(3)(10)A = 60 cm2

Total A = 18 cm2 + 60 cm2

Cylinder SA = 78 cm2

JRLeon Geometry Chapter 9.4 HGSH

Distance in Coordinate Geometry

Lesson 9.5

JRLeon Geometry Chapter 9.4 HGSH

Distance in Coordinate Geometry

Lesson 9.5

JRLeon Geometry Chapter 9.1-9.2 HGSH

Lesson 9.4-9.5 Story Problems – Distance in Coordinate

Geometry

JRLeon Geometry Chapter 9.1-9.2 HGSH

Lesson 9.4-9.5

Class Work 9.4 Pages 498: problems 1 thru 59.5 Pages 504: problems 1 thru 10, 17

Story Problems – Distance in Coordinate

Geometry