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Unit 6 - Perimeter, Area, Surface Area

Unit 6 - Perimeter, Area, Surface Area.

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Unit 6 - Perimeter, Area, Surface Area

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  1. Unit 6 - Perimeter, Area, Surface Area 24 Perimeter of quadrilaterals23 Circumference of circle22 WP: Perimeter21 WP: Circumference of circles20 Area of rectangles and squares19 Area of parallelograms18 Area of triangles17 Area of trapezoids16 Area of circles15 Surface Area of Prisms14 S.A. of sphere, cone, pyramid & cylinder

  2. 24 Riddle What is the next number in this sequence? 10, 4, 3, 11, 15, ____ a)14 b)1 c)17 d)12

  3. 24a Perimeter of quadrilaterals Perimeter = Distance around something Ex1. Find the perimeter 5 3 4 Ex2. Find the perimeter of a square whose sides are 18.5in. long.

  4. 24b Perimeter of quadrilaterals Ex3. One side of a parallelogram has a length of 2.6 kilometers while another side has a length of 28.9 kilometers. What is the perimeter of the parallelogram? Ex4.

  5. Project (Report) Reminder Report due Monday November 27th Use and cite at least 3 sources Turn in both electronic and hard copy Do not plagiarize (Rephrase in your own words) Must be related to math There should be enough information to cover necessary information

  6. 23 Riddle NASA was considering sending canaries into space to study how they behave under zero gravity. Unfortunately the project had to be scraped when someone realized that the birds would die within a few hours. Why?

  7. 23a Circumference of circles Circumference = Distance around a circle (perimeter) Diameter = Distance from side to side passing through center Radius = Distance from center to edge c =  d  = Ex1. Calculate the circumference of the circle. Use 3.14 for p 7.3 cm

  8. 23b Circumference of circles Ex2. Find the circumference of a circle with a diameter of 14 cm. Use 3.14 for  . Ex3. Find the circumference of a circle with a radius of 7 feet. Give the exact answer!

  9. 22 Riddle

  10. 22a WP: Perimeter Ex1. A rectangular poster board is 56.7 cm by 71.3 cm. What is the perimeter of the poster board? Ex2. If the perimeter of a square is 100 inches, how long is each side?

  11. 22b WP: Perimeter Ex3. A wooden fence is to be built around a 38 m-by-66 m lot. How many meters of fencing will be needed? If the wood for the fence costs $43.00 per meter, what will the wood for the fence cost?

  12. 21 Riddle What word starts with is, ends with nd and has la in the middle?

  13. 21a WP: Circumference of Circles Ex1. The radius of a ring is 10.5 mm. Find the circumference. (Use p = 3.14) Ex2. The distance around the equator of Mars is about 21,344 km. What is the equatorial diameter of Mars? Use p » 3.14.

  14. 21b WP: Circumference of Circles Ex3. The minute hand on a clock is 5 centimeters long. What distance does the tip travel in one complete rotation, to the nearest centimeter? Ex4. Find the perimeter for the following figure.Give exact answer….! 3 7

  15. 21c WP: Circumference of Circles Ex5. Find the exact perimeter. (Leave pi in the answer) 10 6 6 4 3

  16. 20 Riddle Eggs, with few exceptions, are slightly narrower at one end. What useful purpose does this serve?

  17. 20a Area of rectangles and squares Area of rectangle or square = L x W Ex1. Find the area of a rectangle that measures 14 ft by 20 ft. Ex2. Find the area of a square with a side of 31.9 km.

  18. 20b Area of rectangles and squares Ex3. Graph rectangle ABCD and find its area. A(9, 6), B(9, –1), C(2, –1), D(2, 6)

  19. 19 Riddle A world famous magician, always insisted on purchasing his own stage props and other tricks of his trade. After shopping all day, he arrived home and began to check his purchases against his list.Strangely enough, he emptied several large containers and actually found that two of them weighed less when they were full than they did empty. How was this possible?

  20. 19a Area of Parallelograms 5 4 3 7 Wouldn't this make a rectangle? Yes What is the area of a rectangle? _____ L • W What is the area? ___________________ 10•4 or 40 square units What is the perimeter? ______________ 30 units

  21. 18 Riddle This riddle has tricked mathematicians for centuries. On my way to the fair,I met seven jugglers and a bear. Every juggler had three cats, Every cat had three rats,Every rat had two mice,All the mice had nine lice,Lice, mice, rats, and cats,Seven jugglers and a bear, How many in all were going to the fair?

  22. 18a Area of Triangles ½ b•h Area of a triangle= ________ b = base h = height  to the base Find the area. 8 a= ½ (7.5•7) 7 a=26.25 units2 7.5

  23. 18b Area of Triangles ½ b•h Area of a triangle= ________ b = base h = height  to the base Find the area. a= ½ (3.2•9) 5.1cm a=14.4 cm2 9cm 3.2cm 2cm

  24. 18c Area of Triangles Find the area. a= ½ (24•9) a=108 ft2

  25. 17 Riddle Below are all the letters of the alphabet with the exception of the letter "Z". Each of these letters has been placed either above or below the line for a particular reason. In keeping with this reasoning, where would the "Z" go and why? A F HIJKLMNO QRS U WXY BCDE G P T V

  26. 17a Area of Trapezoids Area Trapezoid = •(h) or Area Trapezoid = Average of bases • Height 12 Area= • (5) 5 10•5 8 50 Units2

  27. 17b Area of Trapezoids Ex2. Find the area for the figure below. All measurements are in cm. Area= • (12) 18.5•12 = 222 cm2 222 cm2 256 cm2 256+222 = 478cm2 Area= • (16) 16•16 = 256 cm2

  28. 16 Riddle Below are all the letters of the alphabet with the exception of the letter "Z". Each of these letters has been placed either above or below the line for a particular reason. In keeping with this reasoning, where would the "Z" go and why? A EF HI KLMN T VWXY BCD G J OPQRS U

  29. 16a Area of a circle Diameter Area of a circle = r2 Radius Ex1. Find the area: Use Pi=3.14 A = r2 = (3.14)(1.22) 1.2m = (3.14)(1.44) = 4.5216 m2

  30. 16b Area of a circle Ex2. Find the area of a circle that has a diameter of 15 centimeters. (Use » 3.14 )

  31. 15 Riddle Forward I am heavy, backwards I am not… What am I?

  32. 15a Surface area of prisms Prism - Has 2  bases on two || planes Surface area = Add the area of all the surfaces Ex1. Find the total surface area Total(Multiply sides by two) Front and back 6 x 10 = 60 ft2 120 + 80 + 48 Left and Right 10ft 248 ft2 4 x 10 = 40 ft2 Top and Bottom 4ft 6 x 4 = 24 ft2 6ft

  33. 15b Surface area of prisms Ex2. Calculate the surface area of the right triangular prism. 13m 25m 5m 12m

  34. 15c Surface area of prisms Ex3. Find the total surface area of the triangular prism. Dimensions are in inches.

  35. 14 S.A. of sphere, cone, pyramid & cylinder Insane asylum entrance test. (Are you crazy?) First you fill up a bathtub with water. You are given a teaspoon and a teacup to empty the tub. How would you empty the tub?

  36. 14a S.A. of sphere, cone, pyramid & cylinder The formula for the surface area, S, of a sphere is S = 4r2 . Find the surface area of a sphere if the radius, r, is 6 meters.Give your answer in terms of .

  37. 14b S.A. of sphere, cone, pyramid & cylinder The formula for the total surface area, S, of a cone is S = r l + r2 , where l is the slant height and r is the radius of the base. Find the exact total surface area in terms of of a cone that has a slant height of 19 centimeters and a radius of 5 centimeters.

  38. 14c S.A. of sphere, cone, pyramid & cylinder The formula for the total surface area, S, of a cylinder is S = 2 rh + 2r2 . Find the surface area of the cylinder with height, h, of 9 m and radius, r, of 2.4 m. Use » 3.14. Round your answer to the nearest tenth.

  39. 14d S.A. of sphere, cone, pyramid & cylinder The formula for the total surface area, S, of a square pyramid is S = 2ls + s2 , where l is the lateral height (the height of each of the triangles that make up the sides of the pyramid), and s is the length of each side of its square base. Find the total surface area of a square pyramid withl = 13 cm and s = 11 cm.

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