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
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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
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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
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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
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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
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