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Today’s Lesson:

Today’s Lesson:. What: Surface area of prisms and cylinders Why: To calculate the surface area of both rectangular prisms and cylinders. Surface Area — the sum of the areas of each ____________ that make up a solid 3-D figure. . face. Key words for surface area:.

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Today’s Lesson:

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  1. Today’s Lesson: What: Surface area of prisms and cylinders Why: To calculate the surface area of both rectangular prisms and cylinders.

  2. Surface Area— the sum of the areas of each ____________ that make up a solid 3-D figure. face Key words for surface area:

  3. SA= 2lw + 2lh + 2wh Right/ Left Top/ Bottom Front/ Back width length BACK height TOP RIGHT LEFT FRONT BOTTOM Net version of rectangular prism

  4. Rectangular PRISMS: 1) 2) SA = 256 cm² 2 cm 5 cm 14 cm 4 cm 12 cm 3.5 cm SA = 168 cm²

  5. SA= 2𝝿r² + 2𝝿rh Top/ Bottom Curved Surface radius height Net version of cylinder

  6. CYLINDERS: 1) 2) 2.5 cm 4 cm 4.5 cm 15 cm SA ≈ 213.5 cm² SA = 109.9 cm²

  7. Surface area word problems: Bob is wrapping a present that is 12 inches long, 4 inches wide, and 3 inches tall. What is the minimum amount of wrapping paper required? SA = 192 in²

  8. Surface area word problems: Jane is painting a cylindrical barrel, top and bottom included. If the barrel is 5 feet tall with a diameter of 3 feet, how much paint will Jane need? SA ≈ 61.2 ft²

  9. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

  10. Rectangular Prism Net Directions: Cut flattened shape out. DO NOT cut along the inside lines. Once cut out, fold along the inside lines to make a rectangular prism (or box).

  11. Cylinder Net Directions: Cut flattened shape out. DO NOT separate the top and bottom circles from the rectangle. In other words, you should end up with ONE CUT-OUT shape– NOT three separate ones!! See if you can form a cylinder! 2.5 cm 2.5 cm 13 cm. 6 cm 6 cm 13 cm

  12. NAME: DATE: ______/_______/_______ Math-7 NOTES What: surface area of prisms and cylinders Why: To calculate the Volume of both rectangular prisms and cylinders. Surface Area— the sum of the Areas of each ____________ that make up a solid 3-D figure. Key words for surface area: SA= 2lw + 2lh + 2wh Right/ Left Top/ Bottom Front/ Back Net version of rectangular prism height width length 2 cm Rectangular PRISMS: 1) 2) 5 cm 14 cm 4 cm 12 cm 3.5 cm

  13. SA= 2𝝿r² + 2𝝿rh 2.5 cm 4 cm Curved Surface Top/ Bottom 4.5 cm 15 cm Net version of cylinder radius CYLINDERS: 1) 2) height Surface area word problems: Bob is wrapping a present that is 12 inches long, 4 inches wide, and 3 inches tall. What is the minimum amount of wrapping paper required? Jane is painting a cylindrical barrel, top and bottom included. If the barrel is 5 feet tall with a diameter of 3 feet, how much paint will Jane need?

  14. DATE: _____/______/_____ Math-7 Practice “surface area of prisms and Cylinders” NAME:___________________ Prisms:

  15. cylinders:

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