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Journal Chapter 9 – 10

Journal Chapter 9 – 10. José Pablo Reyes 10 – 5. Describe how to find the areas of a square, rectangle, triangle, parallelogram. Square : multiply the base times its self Rectangle : multiply the base times the height ( bxh )

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Journal Chapter 9 – 10

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  1. JournalChapter 9 – 10 José Pablo Reyes10 – 5

  2. Describe how to find the areas of a square, rectangle, triangle, parallelogram. Square: multiplythe base times itsself Rectangle: multiplythe base times theheight (bxh) Triangle: multiplythe base times theheight time half (bxhx1/2) Parallelogram: multiplythe base times theheight (bxh)

  3. Examples

  4. Describe how to find the areas of a trapezoid, kite and rhombus. Trapezoid: addthelenght of twoparallelsides, then divide by 2 and multiplythisbytheheight Kite: A=1/2xy Rhombus: ½(diagonal 2)(diagonal 1)

  5. Describe how to find the area of a composite figure. Explain what a composite figure is. Composite figure: any figure/shapethat can bedividedinto more thanonebasic figure. A figure thatismadefromtwoor more geometric figures Area of a composite figure: A=A1+A2

  6. Examples

  7. Describe how to find the area of a circle. Area of a Circle: A=π(r²) Examples:

  8. Describe what a solid is. A solidis a three dimensional figure, it can me bemade up of flat or curve surfaces. Face: any flat surface in the figure Edge: segmentthatistheintersection of two faces Vertex: point of intersection of 3 or more faces

  9. Examples

  10. Describe how to find the surface area of a prism. What is a prism? Explain what a “Net” is. Prism: 3D figure formedbytwoparallelcongruentpolygonal faces called bases, which are connectedby faces that are parallelograms Net: a diagram of thesurfaces of a 3D figure that can befoldedtoformthe figure. A=2LW + 2(L+W)H

  11. Examples

  12. Describe how to find the surface area of a cylinder. Tofindthesurfacearea of a cylinder do de following; surfacearea of a cylinder = 2π(r2) + 2π(r)(h). Examples

  13. Describe how to find the surface area of a pyramid. What is a pyramid? Pyramid: 3D figure formedby a polygonal base and triangular faces thatmeet at a commonvertex Tofindthesurfacearea of a pyramid do thefollowing; findthe base areawith b², once youknowthe base area and all faces are thesame, do this: Base area + ½ x Perimeter x Slantlenght, ifthe faces are notthesame do this, Base Area + lateral area Lateral area = allsidesthat are notthe base Slantlenght = lenght of thesegment, fromthemidpoint of the base to a vertex

  14. Describe how to find the surface area of a cone Tofindthesurfacearea of a cone; findthearea of thecircle, thenturntheshapeintoits net. Addthemeasures up and thatsthearea of thecone.

  15. Describe how to find the volume of a cube Tofindthesurfacearea of a cube do thefollowing; findthesurfacearea of oneside and multiplyitby 6. SA= 6(a²)

  16. Examples

  17. Describe Cavalieri’sprinciple. Iftwo 3D figures havethesame base are and sameheight, thentheywillhavethesamevolume Examples

  18. Describe how to find the volume of a prism and a cylinder. Prism: area of base X height Rectangular prism: L x W x H Cylinder: π(r²)addthearea of the 2 faces, findthearea of the bases usingthe formula A=π(r2), the combined surface area of the faces is 2π(r2). Then find the surface area of the side which is circumference X height or 2π(r)(h).

  19. Examples

  20. Describe how to find the volume of a pyramid and a cone. Tofindthevolume of a pyramid use thefollowing formula; 1/3 b(h) Tofindthevolume of a cone use thefollowing formula; 1/3 x π(r²)h

  21. Examples

  22. Describe how to find the surface area and volume of a sphere Tofindthesurfacearea of a sphereyouhaveto use this formula; 4π(r²) To find the volume of a sphere use this formula; 4/3 π(r³)

  23. Examples

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