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Prisms

Have 2 bases Named by the shape of the bases. Have 1 base Lateral faces meet at one point Named by the shape of the base. Prisms. Pyramids. Pentagonal Prism. Hexagonal Pyramid. Prisms. BASE. HEIGHT. BASE. Right Prism. Oblique Prism. height. cylinder. Base. Lateral Surface.

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Prisms

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  1. Have 2 bases Named by the shape of the bases Have 1 base Lateral faces meet at one point Named by the shape of the base Prisms Pyramids Pentagonal Prism Hexagonal Pyramid

  2. Prisms BASE HEIGHT BASE

  3. Right Prism Oblique Prism height

  4. cylinder Base Lateral Surface Height Base

  5. Greetings College Bound Students!!! March 6, 2014 • There are various routes a person can take to reach a destination. • Think about some of the different routes you take to reach the same destination. • On a separate sheet of paper, WRITE about how you use your math skills to decide which route to take to reach your destination.  Include specific examples of how you choose which tools to use.

  6. Greetings College Bound Students!!! March 6`, 2014 CWD: Munificent - (adj.) very generous; giving STAAR WU: A 7-inch candle burns at a rate of 2 inches an hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns? A y = 2x + 7 B y = 7 – 2x C y = 2 – 7x D y = 7x + 2

  7. Greetings College Bound Students!!! March 5, 2014 CWD: Myriad - (noun) a large indefinite number STAAR WU: A store manager discounted the prices of several items during a sale. The original price and the sale price of each item are shown in the table below. Based on the data in the table, what would be the sale price of an item that had an original price of $85? • $79 B. $64 C. $68 D. $71

  8. Topic: VolumeEQ: How should I find the volume of a 3 dimensional figure?Volume - the measure of cubic units inside a 3-D figure. What is the volume of this rectangular prism? V = Bh V = l x w x h V = ______

  9. Practice - Volume and Surface Area What is the volume of this rectangular prism? V = Bh V = l x w x h V = ____ What is the lateral area? What is the surface area? SA = ___________________

  10. Cornell Notes • Topic: Lateral and Surface Area; Volume • EQ: How should I find the lateral and surface area of a 3-D shape?

  11. Lateral Area (LA): the sum of the areas of the solid’s lateral surfaces Total Surface Area (SA): the sum of the areas of all of its surfaces P = PERIMETER of base (add all sides of the base) B = area of BASE (use different formulas according to the shape of the base) h = HEIGHT of the solid

  12. Formulas for PRISMS LA = PhLateral Area = Perimeter of Base  height of prism SA = Ph + 2BSurface Area = Perimeter of Base  height of prism + 2  Area of Base

  13. Station 1: Find the lateral area.(One base is the side that is on the ground.) 2.1 cm 3.6 cm 6.8 cm LA = Ph LA = ___ + ____ LA = ____ cm2

  14. Station 2: Find the surface area. 2.1 cm 3.6 cm 6.8 cm SA = Ph + 2B SA = 43.68 + (2 x _____) SA = _____ cm2

  15. Station 3: Find the lateral area.(One base is the side that is on the ground.) LA = Ph 6 m LA = ___x___ 8 m LA = ___ m2 9 m

  16. Station 4: Find the surface area.(One base is the side that is on the ground.) SA = Ph + 2B 6 m SA = __x__ + 2(___) 8 m SA = ___ m2 9 m

  17. Formulas for Cylinders LA = 2rh SA = 2rh + 2r2

  18. Station 5: Find the lateral area. Round to the nearest tenth. 5 cm 3.8 cm

  19. Station 6: Find the surface area. Round to the nearest tenth. 5 cm SA = 2rh + 2r2 3.8 cm

  20. Surface Area of Pyramids and ConesSection 12.3 Goal – to find the surface area of a pyramid and the surface area of a cone

  21. Pyramids are classified by the shapes of their bases

  22. Surface Area verses Lateral Area of a Pyramid The lateral area of a pyramid: LA = P = Perimeter of the base l = slant height The surface area of a pyramid: SA = B = Area of the base

  23. Example

  24. Surface Area verses Lateral Area of a Cone The lateral area of a cone: LA = r = radius of the base l= slant height The surface area of a cone: SA =

  25. Example

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