juldan

=juda521 chapter 9= =CHAPTER 7= =**7.1**= =Objects= = = =Surface Area and Volume= = = Formulas to know/things to know: Pic by me __**Practice Problems**__ //Find the surface to area volume ratio for a rectangular prism use the given dimensions// 1. 10x1x1 2. 10x10x10 3. 10x5x7 4. 7x6x4 5. 5.5x6.2x2 http://www.instructables.com/id/E6DGTE5LNSETVPK064/
 * **//Find the ratios of surface area to volume//**
 * **//learn the ideas of maximizing volume and minimizing surface area//**
 * //**Things to know:** Surface Area=S, Volume=V, Length=l, Width=w, Height=h, sides of cube=s//
 * **//Formulas://** S=2lw+2wh+2lh and V=lwh (right rectangular prism) S=6s^2 and V=s^3 (cube)
 * Here is some real world examples of these shapes**
 * __Cube:__**

=7.2= =Objects= =Vocab:= =Surface area and Volume of a right prism= Formulas/Thing to know: Calaliers principle is if two soilds have equal heights and the cross sections formed by every plane parallel to the bases of both soilds have equal areas, Then the two soilds have equal volumes Pic by me
 * **//Define and use the formula for surface area for a right prism//**
 * **//Define and use the formula for volume on a right prism//**
 * //**use calaliers principle**//
 * Altitude:** The altitude of a prism is a segment that has endpoints in a plane containing the bases perpendicular to each plane
 * Height:** The height is the lenght of the altitude
 * //**Things to know:** Surface area=S, Lateral area=L, Base=B, Perimeter=p, Height=h, Volume=V//
 * //**Formulas:**// //S=L+2B or S=hp=2B and V=Bh//
 * What is Calaliers Principle?**

1.(find the volume)B==7 h=5 2.(find the volume)B=17 h=23 3.(find the surface area)L=5 w=7 h=2 4.(find the surface area)L=1/2 w=2/3 h=1 Right prism 1: __[|**http://files.turbosquid.com/Preview/Content_on_7_8_2004_16_49_20/Phone%20Booth%20Preview006.jpg2909ac83-968c-4965-9936-31d763d4df6dLarge.jpg**]__ Right prism 2: http://www.myoops.org/twocw/mit/NR/rdonlyres/Global/3/38386DA3-D00D-4AAF-9801-D85013023736/0/chp_skyscraper.jpg
 * Practice Problems**
 * Here are some real world examples of right prisms**

=7.3= =Objectives= =Vocab:= =Surface Area and volume of Pyramids= Practice Problems** //Find the volume of each pyramid give exact answers please//
 * **//Find and use a formula for the surface area of a regular pyramid//**
 * //**Find and use a formula for the volume of a regular pyramid**//
 * Pyramid:** a polyhedron with a base, which is a polygon, and three of more lateral faces.
 * Base:** a polygon face that is opposite the vertex.
 * Vertex of a pyramid:** a point where the edges of a figure intersect that point is the vertex.
 * Base edge:** An edge that is part of the pyramids base.
 * Lateral edge:** the intersection of two lateral faces of a polyhedron
 * Altitude:** a segment from the vertex perpendicular to the vertex
 * Height:** length of the altitude
 * Regular pyramid:** the base is a regular polygon
 * Slant height:** length of an altitude of a lateral face
 * Formulas/things to know:**
 * //**Things to know:**// //Surface Area=S, Lateral Area=L, Base Area=B, Perimeter of the Base=p, slant height=l, Volume=V, Height=h//
 * //**Formulas:**// //S=L+B or S=1/2lp+B and V=1/3Bh//
 * [[image:pyrimd4556.JPG]]
 * 1) an octagonal pyramid with a base area of 16 and a height of 14
 * 2) a square pyramid witha base edge of 4 and a height equal to the diagonal of the base

Pyramid:** http://www.korthalsaltes.com/foto/Cheops_pyramid_Egypt_3.jpg
 * Here are some real world examples of a pyramid

=7.4= =Objects= =Vocab:= = = =Surface area and volume of cylinders= Formulas/Things to Know:
 * **//Find and use a formula for the surface area of a right cylinder//**
 * //**Find and use the formula for the volume of a right cylinder**//
 * cylinder**: a soild that has a circular region and its translated image in a parallel plane with a lateral surface joining the two circular regions
 * Lateral surface area:** The curved surface on a cylinder
 * Base:** The faces formed by the circular region and its translated image
 * Altitude:** a segment that has endpoints in the planes containing the bases and is perpendicluar to both of the circular bases
 * Axis:** The segment joining the centers of the two bases
 * Right cylinder:** a cylinder whos axis is perpendicluar to the two bases
 * Oblique cylinder:** The cylinder is not a right cylinder
 * //**Things to know:** Surface area=S, Lateral area=L, Base area=B, Radius=r, Height=h//
 * //**Formulas:** S=L+2B or S=2(pie)rh+2(pie)r^2 and V=Bh or V=(pie)r^2h//
 * [[image:cylinder.JPG]]

Find** X **Practice problemstenth.** //find// **X** //for a right cylinder with radius r, height h, and surface area S, Round your answers to the nearest tenth// Cylinder 1: http://www.cachebeauty.com/wholsale/paper_cylinder_3.25x10.jpg Cylinder 2:**
 * 1) r=4, h=15, s=**X**
 * 2) r=3, h=**X**, s=72(pie)
 * 3) r=**X**, h=2, s=70(pie**)**
 * Here are some real world examples of a right cylinder
 * [|**http://royalcandlecompany.com/candle15.jpg**]**

=7.5= =Objects=

=Vocab:= Cone: **a three dimensional thing that has a circular base and a curved lateral suface area that meets at a single point** Right cone**: the altitude of the cone intersects the base at it center** Oblique cone: **if it doesnt fit the description above then it is a a oblique cone** =Surface area and volume of cones= Formulas/things to know:
 * //find out what it means and use the formula for the surface area of a cone//
 * //find and use the formula for the volume of a cone//
 * //Things to know:// **//Surface area=S, Lateral area=L, Base area=B, Radius=r, Height=h, Volume=V,//**
 * //Formulas:// S=L+B or S=(pie)rl+(pie)r^2 and V=1/3Bh or V=1/3(pie)r^2h

Practice problems Here is some real world examples Cone: http://www.aoc.gov/cc/grounds/hol_trees/images/ChristmasTree2005_NM_sm.jpg Cone2:
 * //Find the surface area of each cone//**
 * 1) Lateral edge=10cm, altitude=8cm, radius=6cm
 * 2) Lateral edge=1.7, altitude=1.5, radius=.8
 * [|**http://www.spaug.org/Public_Files/3D_Models/3d-Construction_Cone2.Jpg**]**

= = =7.6= objects =Vocab:= Sphere: **every point is the same distance away from the center point** =Surface area and volume of spheres= Formulas/things to know Practice problems Here are some real worls examples of a sphere Sphere: http://images.google.com/imgres?imgurl=http://massimilianolattanzi.com/ASTRO/tse-2001/pix/tse2001-2nd-contact.c.jpg&imgrefurl=http://massimilianolattanzi.com/ASTRO/tse-2001/index.html&h=768&w=1024&sz=375&hl=en&start=2&tbnid=OceOHTsFsaY-eM:&tbnh=113&tbnw=150&prev=/images%3Fq%3Dsolar%2Beclipse%26gbv%3D2%26svnum%3D10%26hl%3Den%26sa%3DX** =Praactice problem answers= 7.1 7.2
 * //find and use the formula for the surface area of a sphere//
 * //find and use the formula for volume of a sphere//
 * //Things to know: **Surface area=S, Lateral area=L, Base area=B, Radius=r, Height=h, Volume=V,**//
 * //Formulas:// **S =4(pie)r^2 and V=4/3(pie)r^3**
 * //Find the surface area and volume give your answers in pie and a variable//**
 * 1) r=2y
 * 2) d=4y
 * 3) r=y/4
 * 10
 * 1) 1000
 * 2) 3500
 * 3) 168
 * 4) 68.2
 * 1) 35cm^3
 * 2) 391in^3
 * 3) 118 units^2;70 units^3
 * 4) 3 units^2;1/3 units^3

7.3 7.4 7.5 7.6 1volume of a triangular prism-base=5 and height=2 the volume is=10 (V=bh) 2surface area of triangular-lateral area is=50, base area=10 the surface area=70 (s=l+2b) 3volume of a pyramid-base=2, height=4 the volume is 2.666666667 (1/3bh) 4surface area of a pyramid-lateral area=1, base area=2 the surface area=3, (S=l+b) 5volume of a cylinder-base=5, height=10 the volume=50 (v=bh) 6surface area of a cylinder-lateral area=10, The base area=7 the volume=24 (L+2b) 7volume of a cone- base=50, height=20 the volume=333.3333333 (1/3bh) 8surface area of a cone-lateral area=17, height=11 the surface area is=28 (s=L+B) 9volume of a sphere-radis=25 and the volume=65449.84695 (V=4/3(pie)r^3 10surface area of a sphere-radis=13 the surface area=2123.71
 * 1) 224/3 units^3
 * 2) 64(square root2)/3 untis^3
 * 1) 240(pie) units^3
 * 2) 24/(pie) units
 * 3) 4(square root5)/3 units
 * 1) 301.59cm^2
 * 2) 2.83 units^2
 * 1) 16y^2(pie);32/3y^3(pie)
 * 2) 16y^2(pie);32/3y^3(pie)
 * 3) y^2/4(pie);y^2/48pie