Skills Practice Skills Practice for Lesson 2.1

Transcription

1 Skills Practice Skills Practice for Lesson.1 Name Date Backyard Barbecue Introduction to Volume and Surface Area Vocabulary Write the term from the box that best completes each statement. surface area edge solid volume polyhedron face 1. The of a polyhedron is the sum of the areas of its faces.. The line segment common to two sides of a three-dimensional figure is called a(n). 3. The of a solid is the number of cubic units that will completely fill the interior of the solid. 4. A solid with flat surfaces that are polygons is called a(n). 5. A(n) is a three-dimensional figure formed by intersecting planes or surfaces. 6. The flat surface of a solid is called a(n). Problem Set Calculate the volume of each rectangular prism in. 8 in. in. 3 cm 14 cm 1.5 cm Chapter Skills Practice 39

2 m 8 m 13 m 5 m m 3.5 m in. 4 in. 4 in ft 1 ft 6 ft Calculate the surface area of each rectangular prism. Round to the nearest tenth when necessary m 3 m m in. 9 in. 1.5 in. 40 Chapter Skills Practice

3 Name Date cm 11 cm 4 cm m 3 m 5 m Calculate the volume of each figure formed by rectangular prisms. Round to the nearest tenth when necessary ft ft ft 5 m 4 m 1 ft 1 ft 6 m 1 m 1 m Chapter Skills Practice 41

4 19. cm cm 0. yd yd cm cm 6 cm 6 cm yd 4 yd cm 1 cm 1 cm 6 yd 1 yd 4 Chapter Skills Practice

5 Skills Practice Skills Practice for Lesson. Name Date Turn Up the Volume Volume of a Prism Vocabulary Define each term in your own words. 1. Polyhedron. Face 3. Prism 4. Base 5. Lateral face 6. Volume 7. Height 8. Cube 9. Right prism 10. Oblique prism Chapter Skills Practice 43

6 Problem Set Label the visible bases and lateral faces of each prism Classify each prism Chapter Skills Practice

7 Name Date Calculate the volume of each right prism cm 5 m 1 cm cm 1 m 3 m 7. 7 m 7 m 7 m cm.5 cm 6 cm Chapter Skills Practice 45

8 ft ft 4 ft 10 ft 8 ft ft cm yd 9 yd yd 3.5 cm 3.5 cm 3 yd 46 Chapter Skills Practice

9 Skills Practice Skills Practice for Lesson.3 Name Date Bending Light Beams Surface Area of a Prism Vocabulary Compare the similarities and differences between the following words. 1. lateral area and surface area Problem Set Calculate the surface area of each right prism...4 m 3. 6 m 5.5 ft 5.5 ft 5.5 ft 3 m 4. 3 in. 4 in. 5 in. in m m 5 m 7 m Chapter Skills Practice 47

10 Calculate the volume of each right prism ft 7. 4 cm 4 ft 16 ft 6 cm 5 ft 5 ft 5 cm 8 ft yd 3.5 m 4 yd 4 yd 1 m 3 m For each volume, determine the rectangular prism with the smallest surface area by completing each table ft 3 Length (ft) Width (ft) Height (ft) Volume (cu ft) Surface area (sq ft) 48 Chapter Skills Practice

11 Name Date m 3 Length (m) Width (m) Height (m) Volume (cu m) Surface area (sq m) cm 3 Length (cm) Width (cm) Height (cm) Volume (cu cm) Surface area (sq cm) yd 3 Length (yd) Width (yd) Height (yd) Volume (cu yd) Surface area (sq yd) Chapter Skills Practice 49

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13 Skills Practice Skills Practice for Lesson.4 Name Date Modern Day Pyramids Volume of a Pyramid Vocabulary Draw a diagram to illustrate each term. 1. Pyramid. Vertex 3. Lateral face 4. Regular pyramid 5. Height 6. Slant height Problem Set Classify each polyhedron as completely as possible Chapter Skills Practice 51

14 Calculate the volume of each pyramid m ft 3 m 3 m 3 ft 10 ft in. 6 in. 10 in m 4 m 1 m 5 Chapter Skills Practice

15 Name Date cm 0. 4 ft 6 ft 3 ft 3 cm 3 ft cm ft 6 ft 6 m 8 ft 4 m 7 m 5 m Calculate the volume of each right prism. 3. in in. 6 in. 11 in. 9 in. 1 in. Chapter Skills Practice 53

16 5. 5 m 6. 5 m 7 cm 5 m 8 cm cm 54 Chapter Skills Practice

17 Skills Practice Skills Practice for Lesson.5 Name Date Soundproofing Surface Area of a Pyramid Vocabulary Match each term with its appropriate definition. 1. Lateral area a. Formed by two or more solids. Composite solid b. The sum of the areas of the lateral faces of a solid 3. Pyramid c. A solid with a regular polygon base and triangular faces that meet at a single vertex, where the height of the solid meets the base at its center 4. Regular pyramid d. A solid with a polygon as its base and triangular faces that meet at a single vertex Problem Set Calculate the lateral area of each pyramid in. 4 in m 4 in. 7 m Chapter Skills Practice 55

18 m 7 in. 6 in. 6 in. 9 m Calculate the surface area of each pyramid. Round to the nearest tenth in. 7 in m 5.5 m 1 in. 5.5 m cm 1. ft 4 cm 4 cm 3.5 cm 4 cm 7.5 ft 7.5 ft 56 Chapter Skills Practice

19 Name Date Calculate the total surface area of each composite solid ft 3 ft ft 8 ft 4 ft in. 4.5 in. 5 in. 3 in. 3 in. 8 in ft 6 ft 5 ft 6 ft 6 ft Chapter Skills Practice 57

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21 Skills Practice Skills Practice for Lesson.6 Name Date Making Concrete Stronger Volume and Surface Area of a Cylinder Vocabulary Define each term in your own words. 1. Cylinder. Height of a cylinder 3. Right cylinder 4. Diameter 5. Surface area 6. Volume Chapter Skills Practice 59

22 Problem Set Identify the radius, diameter, and height of each cylinder cm 8. 7 m 10 cm 15 m 9. 1 ft in. 1 ft 9 in. Calculate the volume of each cylinder. Use 3.14 for. Round decimals to the nearest tenth, if necessary m yd 7 m yd 60 Chapter Skills Practice

23 Name Date m ft 5 m 4.5 ft mm ft 6 mm 5 ft m cm 1 m 13 cm Chapter Skills Practice 61

24 Calculate the lateral area of each cylinder. Use 3.14 for. Round decimals to the nearest tenth, if necessary in m 7 in. 8 m 1. ft. 3. in. 5 in. 16 ft 6 Chapter Skills Practice

25 Name Date Calculate the surface area of each cylinder. Use 3.14 for. Round decimals to the nearest tenth, if necessary in m 7 in. 8 m 5. ft in. 5 in. 16 ft 7. 4 cm 7.4 cm ft 4 ft Chapter Skills Practice 63

26 9. 5 ft yd 3 yd 7.5 ft 64 Chapter Skills Practice

27 Skills Practice Skills Practice for Lesson.7 Name Date Sand Piles Volume and Surface Area of a Cone Vocabulary Compare the similarities and differences between the following words. 1. cone and a right cone. height and slant height 3. lateral area and surface area Problem Set Calculate the volume of each cone. Use 3.14 for, and round to the nearest tenth if necessary. 4. h = 6 mm r = 5 mm 5. 0 m 1m Chapter Skills Practice 65

28 ft 7 ft 11 yd 4 yd Calculate the surface area of each cone. Use 3.14 for. Round to the nearest tenth m 9 in. 5 in. 1 m in..5 in ft 3 in. 16 ft 66 Chapter Skills Practice

29 Name Date 1. 8 in. 7 in. 6 in m 11 m 9 m Chapter Skills Practice 67

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31 Skills Practice Skills Practice for Lesson.8 Name Date Ball Bearings and Motion Volume and Surface Area of a Sphere Vocabulary Write the term from the box that best completes each statement. sphere radius diameter center circle plane 1. A(n) is a set of points on a plane that are a given distance from a fixed center point.. The distance from the center to the edge of a circle is called the. 3. The greatest distance across a circle is the. 4. A(n) is a flat surface that extends in all directions. 5. A set of points in space that are a given distance from a fixed point is called a(n). Problem Set Calculate the volume of each sphere. Use 3.14 for. Round to the nearest tenth. 6. r 7 m 7. r 6 in. r r Chapter Skills Practice 69

32 8. d 0 in. 9. d 16 m d d 10. r.5 cm 11. r 11.5 mm r r Calculate the surface area of each sphere. Use 3.14 for. Round to the nearest tenth. 1. r 4 m 13. r 6 in. r r 70 Chapter Skills Practice

33 Name Date 14. d 11 m 15. d 9 in. d d 16. r.5 in. 17. r 3.5 in. r r Chapter Skills Practice 71

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