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Answer Key Chapter 10 – Surface Area and Volume 10.1 Classification of Solid Figures Answers 1. Rectangular Prism 2. Hexagonal prism 3. Cone 4. Cylinder 5. Triangular pyramid 6. pentagonal prism 7. Cube 8. Sphere 9. Octagonal prism 10. Hexagonal prism 11. prism 12. Sphere 13. Cone 14. Pyramid 15. Prism 10.2 Faces, Edges and Vertices of Solids Answers 1. 2 faces 2. 5 faces, 1 vertex, 8 edges 3. 1 face, 1 vertex 4. 6 vertices, 5 faces, 9 edges 5. 6 faces, 8 vertices, 12 edges 6. 8 faces, 12 vertices, 18 edges 7. 4 vertices, 4 faces, 6 edges 8. 7 faces, 10 vertices, 15 edges 9. 6 faces, 8 vertices, 12 edges 10. none 11. 16 vertices, 10 faces, 24 edges 12. 8 faces, 12 vertices, 18 edges 13. sphere 14. cylinder 15. 12 16. 8 17. 9 CK-12 Middle School Math Concepts - Grade 7 1 Chapter 10 – Surface Area and Volume 10.3 Answer Key Cross-Sections and Nets Answers 1. Square pyramid 2. Rectangular prism 3. Pentagonal prism 4. Triangular pyramid 5. triangular prism 6. Cylinder 7. Cone 8. Cube 9. Cylinder 10. hexagonal prism 11 - 20 Answers will vary 10.4 Surface Area of Rectangular Prisms Answers 1. 340 sq. in 2. 352 sq. in 3. 288 sq. m 4. 344 sq. in 5. 392 sq. m 6. 318 sq. ft. 7. 232 sq. m 8. 126 sq. ft. 9. 72 sq. ft. 10. 96 sq. ft. 11. 510 sq. ft. 12. 808 sq. ft. 13. 1392 sq. ft. 14. 1592 sq. m 15. 2082 sq. m 10.5 Surface Area of Triangular Prisms Answers 1. cm 2. 15 cm 3. 4 cm 4. Rectangle 5. 4 cm x 3 cm 6. SA = 2(1/2bh) + 3lw 7. 192 cm2 8. 57 in2 9. 110 ft2 10. 45 in2 11. 150 m2 12. 510 ft2 13. 252 in2 14. 318 in2 15. 157 ft2 CK-12 Middle School Math Concepts - Grade 7 2 Answer Key Chapter 10 – Surface Area and Volume 10.6 Surface Area of Cylinders Answers 1. 25.12 m2 2. 75.36 cm2 3. 602.88 in2 4. 251.2 in2 5. 471 in2 6. 703.36 ft2 7. 1570 m2 8. 1186.92 cm2 9. 527.52 m2 10. 62.8 cm2 11. 376.8 m2 12. 1036.2 in2 13. 602.88 cm2 14. 1356.48 m2 15. 2237.25 in2 10.7 Heights of Cylinders Given Surface Area Answers 1. 2 in 2. 2 in 3. 1.5 in 4. 2 cm 5. 2.5 m 6. 4 cm 7. 3 cm 8. 1 m 9. 2 cm 10. 1.5 cm 11. 3 cm 12. 2 cm 13. 2 cm 14. 2 cm 15. 3 cm 10.8 Surface Area and Volume of Pyramids Answers 1. 640 in2 2. 768 in2 3. 3,456 in2 4. 1,750 in2 5. 6,174 in2 6. 10,240 m2 7. 16,038 cm2 8. 34,606 m2 9. 3,888 in2 10. 24,000 cm2 11. 8,640 in2 12. 19,200 ft2 13. 144 in2 14. 59,136 m2 15. 45,000 in2 10.9 Surface Area and Volume of Cones Answers 1. 113.04 in2 2. 188.4 m2 3. 84.78 cm2 4. 204.1 mm2 5. 452.16 in2 6. 863.5 cm2 7. 1055.04 in2 8. 104.495 cm2 9. 162.495 mm2 10. 263.76 cm2 11. 388.575 cm2 12. 690.8 cm2 13. 1708.16 cm2 14. 1347.06 cm2 15. 1654.78 cm2 CK-12 Middle School Math Concepts - Grade 7 3 Answer Key Chapter 10 – Surface Area and Volume 10.10 Volume of Rectangular Prisms Answers 1. 60 in3 2. 210 m3 3. 288 cm3 4. 384 cm3 5. 300 ft3 6. 792 m3 7. 82.5 in3 8. 231 cm3 9. 168 ft3 10. 1200 m3 11. 462 m3 12. 1152 ft3 13. 1024 in3 14. 1728 m3 15. 864 in3 10.11 Volume of Triangular Prisms Answers 1. 60 in3 2. 157.5 in3 3. 360 m3 4. 780 m3 5. 216 cm3 6. 252 cm3 7. 44 mm3 8. 396 cm3 9. 3230 ft3 10. 2700 ft3 11. 2754 ft3 12. 4788 ft3 13. 3528 ft3 14. 297,000 ft3 15. 440,000 ft3 10.12 Volume of Cylinders Answers 1. 628 in3 2. 351.68 in3 3. 141.3 ft3 4. 226.08 ft3 5. 452.16 cm3 6. 1356.48 m3 7. 2154.04 in3 8. 785 m3 9. 138.16 m3 10. 339.12 cm3 11. 1243.44 cm3 12. 703.36 m3 13. 13,797.16 cm3 14. 2813.44 in3 15. 1049.15 cm3 10.13 Heights of Cylinders Given Volume Answers 1. 8 in 2. 9 in 3. 15 ft. 4. 20 ft 5. 10 ft 6. 14 m 7. 16 m 8. 18 m 9. 25 in 10. 8 ft. 11. 5 in 12. 6 in 13. 9 m 14. 9 ft 15. 7 in CK-12 Middle School Math Concepts - Grade 7 4 Answer Key Chapter 10 – Surface Area and Volume 10.14 Volume of Pyramids Answers 1. 108 ft3 2. 213.33 m3 3. 524.33 in3 4. 378 ft3 5. 33.75 in3 6. 20 in3 7. 40 ft3 8. 84 m3 9. 20 in3 10. 84 ft3 11. 85.33 ft3 12. 40 in3 13. 26.54 ft3 14. 119.71 ft3 15. 60 ft3 10.15 Volume of Cones Answers 1. 65.94 in3 2. 235.5 ft3 3. 376.8 m3 4. 1256 in3 5. 2110.08 mm3 6. 314 ft3 7. 148.37 in3 8. 70.52 in3 9. 666.73 cm3 10. 736.85 cm3 11. 647.63 in3 12. 2076.33 in3 13. 2453.13 ft3 14. 527.52 m3 15. 126.60 in3 CK-12 Middle School Math Concepts - Grade 7 5