Oregon Focus on Surface Area and Volume Challenge Worksheet Answers

Transcription

1 Worksheet 1C m² ft or ft² cm² square units square units 6. x = 3.5 cm 7. x = 9.5 in 8. x = 6 m 9. See student work cm² Worksheet 2C cm² m² ft² 4. b = 2 12 ft 5. h = 8.5 cm 6. b = m in cm 9. See student work 10. See student work

2 Worksheet 3C 1. See student work 2. See student work 3. See student work 4. See student work 5. a. See student work b. See student work c. See student work 6. See student work possible diagram: Y J Worksheet 4C ft cm 3. r = 47.3 in and d = 94.6 in 4. See student work, in 5. See student work, 840 revolutions 6. See student work, 49,612 km 7. See student work, m 8. The circumference is cut in half also. 9. See student work, diameter must be between 1.92 inches and 3.18 inches W. R 7. See student work, 6 cm 8. See student work, 2 inches 9. See student work 10. See student work 11. x = 115, y = x = 29, y = x = 45, y = See student work, x = 44.5 (x + 8) = 67 (2x 4) = 114 (3x + 2) = 179

3 Worksheet 5C 1. x = 3 2. x = x = 6, x = feet m² 6. r = 5 cm, d = 10 cm, C = 10π cm 7. r = 1 in, d = 2 in, C = 2π in 8. r = 0.7 ft, d = 1.4 ft, C = 1.4π ft 9. 36π square inches 10. Student 1 used 14 as the radius it should have been 7. Student 2 found circumference not area. Student 3 forgot to square the 7. Worksheet 6C 1. See student work 2. See student work 3. See student work x =, x = 8.75 in² 360 x =, x = m² See student work, 9.81 in² 7. See student work, cm² 8. See student work, ft² yd²

4 Worksheet 7C cm² in² 3. 1,026 ft² square units square units 6. h = 9 in 7. x = x = 14 Worksheet 8C 1. 8:3, 8:3, 8:3, 64:9, 512: :4, 1:4, 1:4, 1:16, 1: :2, 5:2, 5:2, 25:4, 125:8 4. 2:7, 2:7, 2:7, 4:49, 8: :5, 4:5, 4:5, 4:5, 64: :3, 2:3, 2:3, 2:3, 4:9 7. Scale factor, radii, diameter, and circumference. They are all linear measurements. 8. a. 15:8 b. 15:8 c. 15:8 9. 1: :8 11. a. 1:1 b. 144:113.04

5 Worksheet 9C in² m² cm² 4. x m² 5. x = x = 4 cm slices ft² 9. a cm² b. 32 cm c cm d cm Worksheet 10C 1. Answers may vary - glass, jar, barrel 2. Answers may vary - funnel, ice cream cone 3. Answers may vary - shoebox, book 4. Answers may vary - ice cube, box 5. Answers may vary - baseball 6. Answers may vary - ½ grapefruit 7. Answers may vary - ornament, game piece 8. Answers may vary - gift box 9. Answers may vary - square prism, rectangular prism, hexagonal prism 10. Answers may vary - square pyramid 11. Answers may vary - heptagonal pyramid, hexagonal prism 12. Answers may vary - triangular prism 13. Answers may vary - sphere 14. Answers may vary - hexagonal prism, hexagonal pyramid 15. Answers may vary - cone 16. Answers may vary - cylinder, prism 17. Not possible 18. Sphere, 0, 0, 0, Square pyramid, 8, 5, 4, Pentagonal prism, 10, 7, 5, Triangular prism, 9, 5, 3, Cone, 0, 1, 0, 1

6 Worksheet 11C 1. See student work 2. See student work 3. See student work 4. See student work 5. See student work, triangular prism 6. See student work, cylinder 7. See student work, pentagonal pyramid 8. See student work, cube 9. a. Not possible b. Makes a cube, Worksheet 12C 1. x = x = a. 35 ft b ft 4. See student work, answers may vary 5. See student work, answers may vary 6. See student work, answers may vary c. Makes a cube,

7 Worksheet 13C 1. a. 9 m b m² c m² 2. a in b in c in² 3. x = x = , in² 6. Answers may vary, see student work Worksheet 14C 1. All prisms 2. All prisms 3. Neither 4. All pyramids 5. Neither 6. Neither 7. x = x = in cm² in²

8 Worksheet 15C 1. a in² b in² c in 2. x = x = x = a. 26 parts b. 16 gallons c. $ d. $ $517.50, depending on rounding. See student work. Worksheet 16C m² cm² 3. a. See student work b ft² 4. x = x = 5.7

9 Worksheet 17C 1. See student work meters 3. x = x = x = 4 6. a. 41,472 cubic inches b. 33,177.6 cubic inches c. 33,165.6 cubic inches Worksheet 18C 1. Height = 8.5 ft 2. Radius = 5 cm 3. a. 7,850 ft² b. 9,498.5 ft² c. 39,250 ft³ d. 26, ft³ e. Answers may vary possible answer: When people get in water will not spill over the edge in³ 5. See student work Each cylinder should equal 32,000 ft³.

10 Worksheet 19C 1. 3, ft³ in² 3. a ft³ b. 226,080 in³ m 5. 6 cm 6. The vase is 9 inches tall ft Worksheet 20C 1. See student work 2. x = 6 3. Pyramid height = 10 ft 4. x = yards 6. a. The volume doubles. b. The volume quadruples. c. Yes, see student work for explanation.

11 Worksheet 21C 1. Area of the base = mm² 2. Height of the cone = 14 ft 3. Radius = 2.5 cm 4. 3 meters cm³ buckets a b c Worksheet 22C 1. 5,176.5 ft³ 2. 1,327 ft³ cm³ 4. 1, cm³ 5. Height of prism = 7 m 6. Radius = 5 m

12 Worksheet 23C Oregon Focus on Surface Area and Volume 1. Scale Linear Area Volume Factor Ratio Ratio Ratio 1:1 1:1 1:1 1:1 g:h g:h g²:h² g³:h³ 11:4 11:4 121:16 1,331:64 4:3 4:3 16:9 64:27 2. They must be similar. 3. Scale factor & linear ratio. 4. Answers may vary. 5. a. 1,440 u³ b. 1:18 c. 1 : 18 or 1: d units 6. a cubic units b. 125:1 c. 25 units d. 314 square units