Review 4b

1. Review 4b

2. If a cone is cut perpendicular to the base, what is the image of the cross section?

3. A triangle

4. What are the two cross sections formed when a cylinder is sliced parallel to its base and perpendicular to its base?

5. A circle when it’s cut parallel • A rectangle when it’s cut perpendicular

6. A rectangular prism has been cut parallel to its base. What shape will it form?

7. It could be a rectangle, square or parallelogram

8. A rectangular pyramid has been cut parallel to its base. What shape is the cross section after the cut?

9. square

10. A circular pool has a radius of 19 feet. The family that owns the pool wants to put up a circular fence that is 8 feet away from the pool at all points. What is the circumference of the fence they will need?

11. 169.56 feet • -Take the radius which is 19 feet and add 8 feet to it. So, 27 feet with be your new radius. Then use the formula of C = 2πr. Use 3.14 for π.

12. If a circle is cut from a piece of plywood that is over 10 inches in length as shown, how much plywood will be left over?

13. 21.5 • -take the area of the square which equals 100 • -take the area of the circle = 78.5 -Subtract area of the circle from area of the square

14. What is the relationship between radius and diameter of a circle

15. The radius is half of the diameter.

16. The eighth grade class is building a spinning wheel game for the school carnival. The wheel is circular and will be covered with carpet. If the circle is 14 in diameter, how much carpet would be enough to cover the circle?

17. 153.86 ft • - Take the diameter and half it. This will give you radius. Use the formula for area of a circle. • 7 x 7 x 3.14

18. A toy box is shaped like a cube. The sides of the box are 5 feet long. What is the volume of the toy box?

19. 125 feet cubed • -Use the volume of a prism formula, which is area of the base times the height • 5 x 5 x 5 = 125

20. A rectangular table is 12 feet long and 5 feet wide. What is the area of the table?

21. 60 • -use the formula for area of a rectangle which is length times width

22. A window is shaped like a the trapezoid shown below. What is the area of the window?

23. 22.5 • -split the trapezoid into 2 triangles and find the area of each triangle. Add them together

24. The diagram below shows a room in the school building. The dimensions are given in feet. If wall-to-wall tile will be installed so that the entire floor of the room is covered, how many square feet of tile will be needed?

25. 21 feet squared

26. Sue is designing a storage box shaped like a rectangular prism. The storage box is 5 feet long, 8 feet wide and 2 feet tall. What is the surface area of the storage chest?

27. 132 feet squared

28. What is the diagonal cross section of the cylinder below?

29. oval

30. Holly is filling a rectangular prism with chlorine water for her upcoming science experiment. How much chlorine water will it take to fill the prism with length of 5.8 cm, width of 3.75, and a height of 9.8 cm?

31. 213.15 cm cubed

32. Name shapes that can be created by a diagonal cross section of rectangular prism.

33. Rectangle • Square • Hexagon • triangle

34. What is the area of the composite figure?

35. 28 cm squared

36. What is the area of the trapezoid?

37. What is the area of the trapezoid?

38. 26 meters squared

39. How much will the triangular prism hold if it is filled completely?

40. 840 mm cubed

41. What is the least amount of wrapping need to cover the triangular prism?

42. 624 mm squared

43. A circular window in a bedroom has a circumference of 31.4. • Find the diameter

44. 10

45. Find the radius

46. 5

47. Find the area

48. 78.5