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Francis Mifsud

Francis Mifsud. 0-10 pts.) Describe how to find the areas of a square, rectangle, triangle, parallelogram, trapezoid, kite and rhombus. Give at least 3 examples of each. Squares, rectangle, parallelograms are very simple to find the area you only need to multiply base times the height !. Ex.2.

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Francis Mifsud

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  1. Francis Mifsud

  2. 0-10 pts.) Describe how to find the areas of a square, rectangle, triangle, parallelogram, trapezoid, kite and rhombus. Give at least 3 examples of each. • Squares, rectangle, parallelograms are very simple to find the area you only need to multiply base times the height !

  3. Ex.2 32 Ex.1 4 Area=128 6 Area= 48 Ex.3 8 87 Area=3045 35

  4. Triangles are also simple to find the area, you only need to multiply base times height and divide by half Ex.1 Ex.2 (3x10)/2=15 3 8 (8x5)/2=20 10 5 Ex.3 20 60 (20x60)/2=600

  5. To find the area of a trapezoid take the sum of its bases then multiply the sum times the height, and then divide the result by half, (b1+b2)(height)/2 5 Ex.1 3 7 (5+7)(3)/2=52.5

  6. Ex.2 5 (5+10)(11)/2=82.5 11 10 25 (25+27)(18)/2=468 18 27

  7. To find the area of a kite you multiply the diagonals and then divide by half 7x10/2=37.5 Ex.1 Ex.2 5 7 10 3 3x5/2=10

  8. 6x13/2= 39 Ex.3 6 13

  9. For a Rhombus you only need to multiply a base times the altitude of the Rhombus Ex.1 Ex.2 Area =80 23x30=690 8 10 Ex.3 23 19 30 19x27=513 27

  10. Composite figures • IN a composite figure you have to find different types of shapes and then add them up, for example in an arrow you can divide it to a triangle and a square and you can easily find the area of both of those so you just add them to get your total area

  11. Ex.1 5 Triangle: 4x15/2=30 1 1 15 Square: 3x10=10 Total area: 40 3 Ex.2 3 8 trapezoid: (10+8)(5)/2=45 2 Square: 10 Total area: 55 5 5 10

  12. Ex.3 Triangles: 25x40/2=500 each Square: 30x15=450 5 15 5 110 30 Total area: 1450 5 5 15

  13. Describe how to find the area of a circle. Give at least 3 examples. • Pi times the radius squared Ex.1 Ex.2 28.27 3 5 78.53 Ex.3 13 530.92

  14. Describe what a solid is. Give at least 3 examples. • They are three dimensional figures for example pyramids, prisms and other three dimensional figures. To find the surface area you need to add up all of the surface areas 2 Ex.1 4 2 2 2 2 24

  15. Describe how to find the surface area of a prism. What is a prism? Explain what a “Net” is. Give at least 3 examples. • The surface area is just all of the faces of the prism added up. So a prism is a solid figure with two opposite faces similar, equal, and parallel their sides must also be parallelograms. The net is when you flatten out all of the faces of the figure. Ex.1

  16. Ex.2 Ex.3

  17. Describehow to find the surface area of a cylinder. Give at least 3 examples. TO find the surface area you add the surface area of all of the parts of the cylinder. The bases of the cylinder are circles so you use pi r squared. Then to find the surface area of the side you multily the circumference times the height. 36.82 Ex.1 Ex.2 4 6 3 9 42.53 7 14 Ex.3 58.68

  18. Describe how to find the surface area of a pyramid. What is a pyramid? Give at least 3 examples. • First you need to find the lateral surface area, which is the side triangles. Then just add the base. Ex.3 Ex.2 Ex.1 15+2.5=17.5 4 2 3 3 3 5 6 1 24 12+9=21

  19. Describe how to find the surface area of a cone. Give at least 3 examples. • To find the area is you multiply pi times the radius times a side. Then add pi times the radius squared which is the base circle. Ex.2 Ex.1 Ex.3 18 46 8 23 5 6 6 3 4

  20. Describe how to find the volume of a cube. Include a discussion about the volume postulates. Give at least 3 examples. • This is simple just get a side and cube it (to the power of 3) Ex.2 Ex.1 Ex.3 3 8 4 512 64 27

  21. Describe Cavalieri’s principle. Give at least 3 examples. • If two geometrical figures have the same height and width they have the same volume Ex.1 Ex.2 = = Ex.3 =

  22. Describe how to find the volume of a prism. Give at least 3 examples. • prism = length × width × height Ex.1 Ex.2 Ex.3 8 27 2 4 3 3 4 2 3 2 4 64

  23. Describe how to find the volume of a cylinder. Give at least 3 examples. Pi times the radius squared Ex.1 Pi times 4 squared times 7+351 Ex.2 Ex.3 4 2 213 2 4 7 100 17

  24. Describe how to find the volume of a pyramid. Give at least 3 examples. • You multiply the area of the base times height

  25. Pi times radius squared times height Ex.1 47 Ex.2 Ex.3 708 8 5 4 4 13 3 134

  26. Describe how to find the surface area of a sphere. Give at least 3 examples. • Pi times the radius squared

  27. Describe how to find the volume of a sphere. Give at least 3 examples. • Cube the radius then multiply by 4 and then divide by 3

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