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=WiBr56 Chapter 9 Link=

=**__Chapter 7__**=

Chapter 7.1

 * Explore ratios of surface area to volume
 * Develop the concepts of maximizing volume and minimizing Surface Area

Chapter 7.2

 * Define and use a formula for finding the surface area of a right prism
 * Define and use a formula for finding the volume of a right prism
 * Use Cavalieri's Principle to develop a formula for the volume of a right or oblique prism

Chapter 7.3

 * Define and use a formula for the surface area of a regular pyramid
 * Define and use a formula for the volume of a pyramid

Chapter 7.4

 * Define and use a formula for the surface area of a right cylinder
 * Define and use a formula for the volume of a cylinder

Chapter 7.5

 * Define and use the formula for the surface area of a cone
 * Define and use the formula for the volume of a cone

Chapter 7.6

 * Define and use the formula for the surface area of a sphere
 * Define and use the formula for the volume of a sphere

1.) Volume of a Triangular Prism
Height of the triangle is 4 inches length of the right side is 20 inches length of the bottom is 43 inches length of the left side is 27 inches width is 60 inches V=Bh B=1/2h(bottom of the triangle) B=1/2(4)(43)= 86 V=(86)(4)=336 inches^3

2.) Surfaces Area of Triangular Prism
Height of the triangle is 4 inches length of the right side is 20 inches length of the bottom is 43 inches Length of the left side is 27 inches Width is 60 inches B=1/2h(bottom of the triangle) B=1/2(4)(43)=86 P=s+s+s P= 20+43+27=90 L=hp L=60(90)=5400 S=L+2B S=5400+2(86)=5400+168=5568 inches^2

3.) Volume of a Pyramid
height is 12 side length is 7 lateral is 12.5 B=s^2 B=(7)^2=49 V=1/3Bh V=1/3(49)(12)=196 units^3

4.) Surface Area of a Pyramid
height is 12 side length is 7 lateral is 12.5 L=1/2lp L=1/2(12.5)(28)=175 B=s^2 B=7^2=49 S=L+B S=175+49=224 units^2

5.) Volume of a Cylinder
radius is 6 height is 3.5 B=pier^2 B=pie(6)^2=36pie V=Bh V=(144pie)(3.5)=1583.36 units ^2

6.) Surface Area of a Cylinder
radius is 6 height is 3.5 L=2pierh L=2pie(6)(3.5)=21pie B=pier^2 B=pie(6)^2=36pie S=L+2B S=(21pie)+2(36pie)=292.17units^3

7.) Volume of a Cone
height is 8 radius is 5 lateral is 10 B=pier^2 B=pie(5)^2=25pie V=1/3Bh V=1/3(25pie)(8)=209.44 units^3

8.) Surface Area of a Cone
height is 8 radius is 5 lateral is 10 L=pierl L=pie(5)(10)=50pie B=pier^2 B=pie(5)^2=25pie S=L+B S=50pie+25pie=235.62 units^2

9.) Volume of a Sphere
radius is 6 V=4/3pier^3 V=4/3pie(6)^3= 904.78 units^3

10.) Surface Area of a Sphere
radius is 6 S=4pier^2 S=4pie(6)^2=144 pie or452.39 units ^2