7BOBO-dHHHHHH-(H-x-w -ޜ -Z(`@xHH(FG(HH(d'@-`* !l/A|-K m-L--\-0HH-L@A*|P**-9v UUU-p!4 SDSET"-l*|*j,hj*dZj+b j-|*dj-8H=>&'st-.2378<=ABmnrswx|}`ajk12uvMNz{078xyOWXYZ ) 5 7 x y   4 5 n o P Q  M N  Y Z   89RSbc)*de=>wT =     & '           M  N           I J       _ ` w 2-d-x-p -l-ݸREADING GUIDE UNIT 8 WORKING WITH SHAPES IN THREE DIMENSIONS 1. Figures that are solid have a third dimension - _______________. 2. The amount of space a three-dimensional (or solid) shape occupies is its _______________. 3. Volume also refers to how much a container can _______________. 4. Another word for the amount a container can hold is its _______________. 5. The area of all the surfaces of a three-dimensional figure is called the _______________ _______________ _______________. 6. The four geometric figures covered in this unit are: a. b. c. d. 7. What are the three parts of a cylinder? a. b. c. 8.` The side of the cylinder is also called the _______________ _______________. 9. The bases of the cylinder are _______________ (what shape). 10. The area of all the surfaces of a three-dimensional figure is called the _______________ _______________ _______________. 11. You should be able to determine the total surface area of a cylinder if you know its _______________ and _______________. 12. Total surface area of a cylinder is calculated by adding the lateral area (2rh) with the area of each base (_____r2) + (_____r2). 13. If a cylinder only had a bottom (no top) what would the formula be? 14. The volume of a cylinder is calculated by the formula r2 x _____. 15. The units used in a volume problem are refered to as cubed or _______________. 16. Cubic measurements are written as in ___, m ___ etc. 17. The units for area are always _______________ units. 18. The small raised 2 in squared measurements and the small raised 3 in cubed measurements is called an _______________. 19. A block whose edges are each one inch long has of volume of _______________ cubic inch (in3). 20. A block whose edges are 1 foot long has a volume of _______________ cubic foot. 21. How many cubic inches are in 1 cubic foot? _______________ 22. How many surfaces does a rectangular sold have _______________. 23. The _______________ _______________ _______________ of a rectangular solid is the sum of the areas of all six rectangles that make up the solid. 24. The formula for the total surface area of a rectangular solid is: 2 _____ _____ + 2 _____ _____ + 2 _____ _____ 25. What is the total surface area of a sandbox that is 4 feet long, 4 feet wide and 1 foot high. 2 _____ _____ + 2 _____ _____ + 2 _____ _____ = _______________ 26. The volume of a rectangular solid is calculated using the formula V = _____ _____ _____ 27. What is the volume of the sandbox in question 25? _____ _____ _____ = _______________ 28. A cube is a special _______________ _______________. 29. A cube has the same measure for _______________, _______________ and _______________. 30. e equals the length of an _______________. 31. Total surface area of a cube is calculated by the following formula: 6_____2. 32. The volume of a cube is calculated by the following formula: _____3. 33. Draw a cone and label the following parts; apex, height, slant height, base and radius.  34. There are two sections to a cone; lateral area and the _______________. 35. The formula used to calculate the lateral area of a cone is 1/2 x _______________ _______________ x _______________, or written in simplier form Lateral area of cone = 1/2sC. 36. The formula for the area of the base of a cone is the same formula for the area of a _______________, this formula is _____2. 37. The total surface area of a cone is the lateral area plus area of the base. The formula is: 1/2 _____ _____ + _____2. 38. The formula for the volume of a cone is: 1/3 _____ _____2 _____. 39. Round shaped three dimensional objects are _______________. Half of a sphere is called a _______________. 40. To calculate the surface area of a sphere use the formula _____2, or 4_____2. 41. Volume of a sphere is calculated using the formula 4/3_____3. HINTS FOR WORKING PROBLEMS THAT INVOLVE 3-DIMENSIONAL FIGURES 42. Ask yourself - what _______________ am I working with? 43. Draw a rough sketch of the figure and _______________ its dimensions. 44. Ask yourself - what _______________ am I looking for? 45. Ask yourself - is any part of the figure _______________? 46. Check that all dimensions are expressed in the same _______________. 47. Check the units on the final answer: area problems are in _______________ units and volume problems are in _______________ units. REMEMBER FORMULAS ARE SIMPLE THEY HAVE ALREADY DONE THE WORK FOR YOU JUST PLUG IN THE MEASUREMENTS THEY ASK FOR AND GO AND IF THERE IS NO SYMBOL ALWAYS MULTIPLY!!!DSET|(H-@8 6*8DSET(H-X8y8jzj6*8DSETR ---|*   *Unit 8 reading guideDSETR@--D--(   -L