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= = dome24 ch9

Chapter 7, Surface and Volume
You may need to use some of these equasions in later parts of this chapter and in other chapters. Some may not have spaces or times, that just means that you have to times it.dome24

7.1 Surface Area and Volume
Surface area for a right rectangular- S = 2LW + 2WH + 2LH Volume for a right rectangular. - V = LWH L=length, W=width, H=height Cube S = 6s^² V = s³ They are really important becouse you will need to use it alot for this chapter and other chapters.Think of this to cover a surface area on a floring, like a house with wood or carpit. Volume could be imagen as a equasion with a problem to find how much is in a contaner, like milk, water, or food. EX. The length is 38 in. The with is 20in. and the hight is 69 in. Find the right rectanguler surface area and the volume. the Surface area is 9524 in² and the volume is 52440 in.

**7.2 Surface Area and Volume of Prisms**
The two formula's that are under Surface Area of a Right Prism, you need to know. I cant stress how much you would need them in this chaper and setion. They may have diffferent parts for B that will be used for different shapes to find the surface area to bild somthing or tile a house. You don't wat to include Valume that much. Altitude - a sgement that conects two endpoints to plans. Hight - the length of an altitude. S= L+ 2B or S= hp + 2B S stands for Surface Area, L stands for Lateral Area, B stands for Base Area, P stands for Perimeter, and H stands for Hight. This set is used alot in this setion. Basicly it means that it is a problem to help you find a area that you need to tile like a housetop, or a barn. Think of it as a Algebra equasion and try yo find the missing numbers. v=bh V is for Volume, h stands for hight and B stands for base. This one is also importent to know and if you can remmber some if it, then you can figer the rest out.
 * Surface Area of a Right Prism**
 * Prism**

Cavalieri's Principle
If two shapes have the same shape, that could be cut at any points that are parallel, then they have the same area. Like a stack of mud in a tringle and another stack of mud in a square, at the same hight. Then they would be equall. EX. If you are trying to find a volume of a house and the base is 15 ft and the hight is 60 ft. Then what is the volume? It is 900 ft. [|Here is a fun link.]

**7.3 Surface Area and Volume of Pyramids**
Cylinder - Solid that consiste of of a cylinder reagion Lateral surface - connecting the circles Bases - Traslation images Altitude - contanes bases and perpindler. Hight - Legth of the altitude Axis - Joins two bases in center. Right cylinder - perpedicullar to the bases Obtuse cylinder - not perpenduller to the bases. Surface Area of a Reguler Pyramid; S=L:+B or S=1/2 lp+B Volume of a Pyamid; V = 1/3 Bh EX. If you have a pyamid and you want to know the volume of the pyamid. You find out that the base is 55 ft and that the hight is 1,000 ft. What is the volume? It's volume is 55,000 ft.

7.4 Surface area and Volume of Cylinders
Some words in this chapter is above this. Altitude - endpoints in a plane that is holding them. Axis - center of the the bases that is a connection line. Right cylinder - the line is perpendiculer to the bases. Oblique cinlinder - the line is not perpendler to the bases. Surface area of a Right Cylinder; S=L+2B or S= 2π rh + 2π r^2 Volume of a Cylinder; S=Bh or V=π r²h (π = 3.14) You nead to know the two equasions and you may need to practice alot of practice. EX. The photo below is a candle. You know the candle's base is 7 in and the radis is 15 in. What is it's volume? It's a Cylinder. It's Volume is 4948.01 in.² [|This is another link that you could try your stuff.]

7.5 Surface area and Volume of Cones
Cone - A three demention figure that has a circle for a base and a lateral face. Lateral face - conects a circle base and one point that has a line that conects to one point and middle of the circle base. Right cone - a altitude of a cone that interction of the cone at it's center. Oblique cone - if it's not a Right cone than it's this. Surface Area of a Right Cone; S=L+B or S= π×r×l + πr² Volume of a Cone; V=1/3Bh or 1/3π×r²×h EX. The photo below is a right cone. The tip of the cone to the water is 9 in. and the base is 15 in. What is it's volume? It's 45 in.²

**7.6 Surface area and Volume of Spheres**
Sphere - all of the same distance from all different points. Volume of a Sphere; V= 4/3×π×r² EX. If you are trying to find out how much volume of a sphere. You know that your radius is 39. What you should get is 6371.15. 1.You have a triangler prism. The hight is 10 cm and the bace is 11 cm. Find the Volume of Trianglar Prism. 2. Find the Surface area of trianguler prisam for the above problem. 3.What is the volume of a pyramid when the base is 15 feet and the hight is 19 feet? Use the Volume of the Pyramid. It's 95 Feet. 4.The bace is 15 feet, the hight is 19 feet, and the lateral area is 17 feet. What is the Surface Area of the pyramid? Use that equasion. 5. If you have a can and you want to know how much it can hold with a radius of 15 in. with a hight of 40 in.How much food can you hold? 6. If you want to cover it up with a lable all around it, what will it be for the surface area from the last problem