Geo&Alg:Area Volume Pythagorean Th.

Terry Lee Lindenmuth, Jun 13, 2015


  • 1. Volume & Surface Area of a Box with No Top
  • 2. Volume of Box and Total Surface Area
  • 3. 1a004 Building Biggest Box Max
  • 4. Area of a Triangle
  • 5. Triangle 3 Bases & Corresponding Heights
  • 6. Area of Trapezoid - The Formula Discovered
  • 7. Discussion: Area of a Trapezoid Formula
  • 8. Right Triangle with Ratios of a 55º Angle
  • 9. Unit Circle : Trig Functions : Special Triangles
  • 10. Definition of Radian
  • 11. Shadows and Right Triangles
  • 12. Triangle Inequality Investigation
  • 13. Squares of the sides of Triangles
  • 14. Pythagorean Theorem Visual
  • 15. Right Triangles - Pythagorean Theorem
  • 16. Pick and Claim the Factor Game
  • 17. Observe location of the longest side and the largest angle.
  • 18. Visual Proof Pythagorean Theorem
  • 19. Area FOIL Model (X + W)(X + L); X,L
  • 20. Square of a Binomial : FOIL
  • 21. Maximize Area of a 3 Sided Rectangle
  • 22. Maximize the Area of a 3-Sided Rectangle
  • 23. Maximize the Area of a Rectangle with Fixed Perimeter
  • 24. Area of Triangles with Fixed Perimeter
  • 25. Maximize Area of Polygon with Fixed Perimeter
  • 26. Exterior Angles of a Polygon
  • 27. Rectangle: Ratio Perimeter v Ratio Area
  • 28. Cover the Grid with 3X5 Rectangles
  • 29. Cover the Grid with 2X3 Rectangles
  • 30. Copy of Patterns of a cube
  • 31. Mjerenje obujma 1
  • 32. Mjerenje obujma 2
  • 33. Mjerenje obujma 3
  • 34. Mjerenje obujma 4
  • 35. Mjerenje obujma 5
  • 36. Volume & TSA of Rectangular Prism Practice
  • 37. Prostopadłościan
  • 38. Demonstrate the effects of scaling on volume.
  • 39. Volume of Triangular Prism Practice
  • 40. IMP2 Net of a Cylinder
  • 41. Volume of Cylinder & Cone
  • 42. Tessellation Creator V.Square01
  • 43. Do Octagons Tile (Tessellate) the Plane?
  • 44. Do Pentagons Tile (Tessellate) the Plane?
  • 45. Do Hexagons Tile (tessellate) the Plane.
  • 46. Explore Similar Pentagons
  • 47. Volume of Prisms with Set Area of Base
  • 48. Volume of a Hexagonal Prism
  • 49. Volume of Prism & Pyramid wt same base & height
  • 50. Weight of a Water Filled Soccer Ball
  • 51. Volume of Cylinders
  • 52. Golden Prism: Volume=TSA?
  • 53. Golden Prism v2: Volume ?=? TSA
  • 54. Golden Prism: V=TSA Solution
  • 55. Area of Circle and Inscribed Triangle
  • 56. Prime Factorization Activity with Help
  • 57. Perfect Square Roots
  • 58. Exterior & Interior Angles of Regular Polygons
  • 59. Prisms - Visual
  • 60. Pythagoras in a Box : Find a formula for D
  • 61. Longest Diagonal in a Box (Pythagorean 3D)
  • 62. Patterns of a cube
  • 63. Factorization - Visual illustration of divisor pairs
  • 64. Prime Factors - step by step
  • 65. Cone 3D & Net
  • 66. Cone Net for Cut Out
  • 67. Cylinder Volume & Total Surface Area Practice
  • 68. Cone Volume & Total Surface Area Practice
  • 69. Sphere Volume & Total Surface Area Practice
  • 70. Sphere Volume & Surface Area Scored Practice
  • 71. Cone Volume & Surface Area Scored Practice
  • 72. Cylinder Volume & Surface Area Scored Practice
  • 73. Pyramid Volume Scored Practice
  • 74. Sphere Inside a Rectangular Prism

1.

Volume & Surface Area of a Box with No Top

Move the sliders to explore the relationship between surface area and volume of a box with no top.
1. What dimensions create the maximum volume of the box with no top with a fixed surface area of 93.5 sq. units (area of 8.5 X 11)?[br][br]2. Is there any thing "special" about your box from number 1?
– Terry Lee Lindenmuth

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