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12.1 Prisms

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Prisms are specific kinds of _____________ The word polyhedra is the plural form of polyhedron.

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A polygon is a 2-dimensional shape.

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______________________

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Lets talk about specifics of a Prism. Prism: ____________________________________ __________________________________________ Altitude: __________________________________ __________________________________________ Lateral Faces: _____________________________ Lateral Edges: _____________________________ __________________________________________

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Presto! A triangular prism!

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Presto! A Rectangular Prism!

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So what did we learn about Naming? _______________________________ ______________

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Formulas:

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The only unique name that you have to remember is the “cube.”

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A rectangular ______________ ________________________

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A cube has a volume of 8cm cubed. Find the length of each edge and the TA. s s s s s s

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Find TA and Volume: H=12 w=6 l=5

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Find TA and Volume:

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Find the volume of a rectangular solid with length of 10, width 3 and height of 12.

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Find the TA and Volume of a cube with an edge of 5a.

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Class work: 1.A right triangular prism has base edges of 5,12,13 and Volume of 450. Find the height of the prism. 2.The base of a Triangular prism is an isosceles triangle with legs of 3 cm. The height of the prism is 10 cm. Find the LA, TA and V.

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12.2 Pyramids

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Pyramid: ________________________________ Altitude: _________________________________ ________________________________________ Lateral Faces: ___________________________ Bases: __________________________________ Slant Height: _____________________________ ________________________________________

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Presto! A triangular pyramid!

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Presto! A square pyramid!

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Formulas:

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A regular triangular Pyramid has slant height of 9, and base perimeter of 12. Find LA, B, TA.

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A square pyramid has a base edge of 6 and a lateral edge of 5. Fill in missing values. r a ½ s base LE a l h h r l ½ s 3

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Find LA, BA, TA, and V of the last Problem:

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ahBELELATAV 34 513 Regular Triangular Pyramid Solve both Problems:

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12.3 Cylinders and Cones

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Cylinders: Cylinder: ______________________________ height / altitude: ___________________ Radius: ___________

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Lateral Area = ___________________ _______________________________ Total Area = ____________________ _______________________________ Volume = _______________________ _______________________________

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Cones: Cone: ________________________________ height / altitude: ___________________ Slant height: _________ Radius: ______________

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Lateral Area = __________________ ______________________________ Total Area = ___________________ ______________________________ Volume = _____________________

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=7 r =5 Find: B = LA= TA= V=

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=5 r =12 Find: B = LA= TA= V=

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A cone with a radius of 6 and height of 12 cm is filled to capacity with Cherry Coke. Find the minimum height of a cylinder with a radius of 4 cm that will hold the same amount of liquid.

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Class work: rhLATAV 510 3 12 rhlLATAV 512 815

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12.4 Spheres

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Sphere: ________________________ ________________________________

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Complete the Chart: drAV 12 7

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If the surface area of a sphere is 16 pie find the diameter and the volume.

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Find the area of the circle formed when a plane passes 9 cm from the center of a sphere with a radius of 15. 15

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Mr. Trem made 2 wax candles, one in the shape of a sphere with radius of 5 and one in the shape of a cylinder with a radius 5 and height of 6. Which candle required more wax?

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