Mathematics Worksheet/Volume and Surface Area of 3D Shapes

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Cuboid[edit]

  1. Find the volume of a cuboid if the dimensions are:
    1. length = 9 cm, width = 85 cm and height = 3.0 cm
    2. length = 6.5 cm, width = 6 cm and height = 4.5 cm
    3. length = 12 cm, width = 5 cm and height = 6 cm
    4. length = 7 cm, width = 10.2 cm and height = 8.3 cm
    5. length = 8.4 cm, width = 6.5 cm and height = 20 cm
    6. length = 5 cm, width = 10 cm and height = 20 cm
    7. length = 14 cm, width = 7.5 cm and height = 10 cm
    8. length = 22 cm, width = 7 cm and height = 5.2 cm
    9. length = 21 cm, width = 6 cm and height = 9 cm
    10. length = 15.7 cm, width = 6.4 cm and height = 8.9 cm
    11. length = 14.6 cm, width = 6.1 cm and height = 7.7 cm
    12. length = 9 cm, width = 16.7 cm and height = 11 cm
    13. length = 25 cm, width = 16 cm and height = 9 cm
    14. length = 14.6 cm, width = 5.82 cm and height = 12.5 cm
    15. length = 30.1 cm, width = 14 cm and height = 22.5 cm
    16. length = 14 cm, width = 7 cm and height = 3.5 cm
    17. length = 36.6 cm, width = 21.9 cm and height = 30 cm
    18. length = 42 cm, width = 4.74 cm and height = 12.52 cm
    19. length = 26 cm, width = 35 cm and height = 7 cm
    20. length = 50 cm, width = 16 cm and height = 15.64 cm
    21. length = 85 cm, width = 20 cm and height = 44 cm
  2. Find the surface area of a cuboid if the dimensions are:
    1. length = 512 cm, width =1.32cm, height=9.975cm
    2. length = 6 cm, width = 8 cm and height = 10 cm
    3. length = 15 cm, width = 6 cm and height = 9 cm
    4. length = 14 cm, width = 5 cm and height = 4 cm
    5. length = 17.5 cm, width = 12 cm and height = 8 cm
    6. length = 15 cm, width = 12.5 cm and height = 24 cm
    7. length = 25 cm, width = 15 cm and height = 20 cm
    8. length = 32 cm, width = 8 cm and height = 24 cm
    9. length = 45 cm, width = 35 cm and height = 55 cm
    10. length = 60 cm, width = 35 cm and height = 40 cm

Cube[edit]

  1. Find the volume of a cube if the edge is:
    1. 4 cm
    2. 6 cm
    3. 7.5 cm
    4. 12 cm
    5. 15 cm
    6. 16.5 cm
    7. 19.2 cm
    8. 21.3 cm
    9. 22 cm
    10. 25 cm
    11. 30 cm
    12. 32.7 cm
    13. 34.32 cm
    14. 37 cm
    15. 45 cm
    16. 57.5 cm
    17. 61.537 cm
    18. 65.463 cm
    19. 70 cm
    20. 100 cm
  2. Find the surface area of a cube if the edge is:
    1. 2 cm
    2. 3.3 cm
    3. 4.3 cm
    4. 6 cm
    5. 7.5 cm
    6. 8.6 cm
    7. 10 cm
    8. 15 cm
    9. 16.5 cm
    10. 17 cm
    11. 20 cm
    12. 24.3 cm
    13. 26.4 cm
    14. 31.2 cm
    15. 32.5 cm
    16. 65 cm
    17. 75 cm
    18. 80 cm
    19. 92.5 cm
    20. 100 cm

Cylinder[edit]

  1. Find the volume of a cylinder if the radius or diameter and height are: (Use \!3.14 if the radius or diameter is not a multiple of 7 and use \frac{22}{7} if the radius or diameter is a multiple of 7.)
    1. diameter = 28 cm, height = 12 cmi dnt ilike 8cm lengeth hahahahha 8 cm
    2. radius = 12 cm, height = 10 cm
    3. diameter = 10 cm, height = 5 cm
    4. radius = 35 cm, height = 14 cm
    5. diameter = 32 cm, height = 7 cm
    6. diameter = 20 cm, height = 13 cm
    7. radius = 42 cm, height = 15 cm
    8. radius = 35 cm, height = 18 cm
    9. radius = 26 cm, height = 6 cm
    10. diameter = 50 cm, height = 21 cm
    11. diameter = 70 cm, height = 12 cm
    12. radius = 13 cm, height = 12 cm
    13. radius = 32 cm, height = 14 cm
    14. diameter = 63 cm, height = 18 cm
  2. Find the surface area of a cylinder if the radius or diameter and height are: (Use \!3.14 if the radius or diameter is not a multiple of 7 and use \frac{22}{7} if the radius or diameter is a multiple of 7.)
    1. diameter = 25 cm, height = 7.5 cm
    2. radius = 18 cm, height = 12 cm
    3. radius = 16 cm, height = 14 cm
    4. diameter = 35 cm, height = 17.5 cm
    5. diameter = 28 cm, height = 15 cm
    6. radius = 42 cm, height = 20 cm
    7. radius = 15 cm, height = 16 cm
    8. radius = 8 cm, height = 15 cm
    9. diameter = 56 cm, height = 22.5 cm
    10. radius = 35 cm, height = 8.5 cm
    11. diameter = 18 cm, height = 20 cm
    12. radius = 24 cm, height = 9 cm
    13. radius = 63 cm, height = 12 cm
    14. radius = 70 cm, height = 18 cm
    15. diameter = 54 cm, height = 21 cm

Traingular prism[edit]

  1. Find the volume of a triangular prism if the base length, base height and the height are:
    1. base length = 9 cm, base height = 14 cm, height = 20 cm
    2. base length = 12 cm, base height = 5 cm, height = 13 cm
    3. base length = 14 cm, base height = 8.5 cm, height = 3 cm
    4. base length = 22 cm, base height = 8.5 cm, height = 9 cm
    5. base length = 15 cm, base height = 14 cm, height = 16 cm
    6. base length = 8 cm, base height = 2 cm, height = 25 cm
    7. base length = 25 cm, base height = 16 cm, height = 24 cm
    8. base length = 17 cm, base height = 20 cm, height = 25 cm
    9. base length = 30 cm, base height = 25 cm, height = 17.5 cm
    10. base length = 25 cm, base height = 15 cm, height = 20 cm
  2. Find the surface area of a triangular prism if the base length, base height and the height are:
    1. base length = 3 cm, base height = 4 cm, height = 5 cm
    2. base length = 8 cm, base height = 15 cm, height = 17 cm
    3. base length = 6 cm, base height = 8 cm, height = 10 cm
    4. base length = 12 cm, base height = 16 cm, height = 20 cm
    5. base length = 25 cm, base height = 10 cm, height = 26 cm
    6. base length = 20 cm, base height = 21 cm, height = 29 cm
    7. base length = 15 cm, base height = 20 cm, height = 25 cm
    8. base length = 21 cm, base height = 28 cm, height = 35 cm
    9. base length = 33 cm, base height = 44 cm, height = 55 cm
    10. base length = 15 cm, base height = 7.5 cm, height = 8 cm

Rectangular pyramid[edit]

  1. Find the volume of a rectangular pyramid (rectangular base shape) if the base length, base width and height are:
    1. base length = 12 cm, base width = 8 cm, height = 5 cm
    2. base length = 15 cm, base width = 14 cm, height = 10 cm
    3. base length = 11 cm, base width = 10.5 cm, height = 16 cm
    4. base length = 24 cm, base width = 12 cm, height = 5 cm
    5. base length = 30 cm, base width = 15.5 cm, height = 8 cm
    6. base length = 17 cm, base width = 12 cm, height = 25 cm
    7. base length = 32 cm, base width = 15 cm, height = 24 cm
    8. base length = 10 cm, base width = 14 cm, height = 7 cm
    9. base length = 14 cm, base width = 25 cm, height = 9 cm
    10. base length = 24 cm, base width = 30 cm, height = 12 cm
  2. Find the surface area of a rectangular pyramid (rectangular base shape) if the base length, base width and height are:
    1. base length = 2 cm, base width = 6 cm, height = 4.5 cm
    2. base length = 12 cm, base width = 8 cm, height = 10 cm
    3. base length = 24 cm, base width = 14 cm, height = 9 cm
    4. base length = 16 cm, base width = 9 cm, height = 14 cm
    5. base length = 22 cm, base width = 8 cm, height = 14 cm
    6. base length = 25 cm, base width = 18 cm, height = 21 cm
    7. base length = 32 cm, base width = 14 cm, height = 26 cm
    8. base length = 35 cm, base width = 28 cm, height = 21 cm
    9. base length = 44 cm, base width = 35 cm, height = 26 cm
    10. base length = 56 cm, base width = 35 cm, height = 18 cm

Sphere[edit]

  1. Find the volume of a sphere if the radius or diameter is: (Use \!3.14 if the radius or diameter is not a multiple of 7 and use \frac{22}{7} if the radius or diameter is a multiple of 7.)
    1. 2 cm
    2. 5 cm
    3. 6 cm
    4. 8 cm
    5. 10 cm
    6. 12 cm
    7. 16 cm
    8. 21 cm
    9. 25 cm
    10. 56 cm
  2. Find the surface area of a sphere if the radius or diameter is: (Use \!3.14 if the radius or diameter is not a multiple of 7 and use \frac{22}{7} if the radius or diameter is a multiple of 7.)
    1. 3 cm
    2. 5 cm
    3. 6.3 cm
    4. 8.7 cm
    5. 10 cm
    6. 14 cm
    7. 16.7 cm
    8. 23.1 cm
    9. 25.3 cm
    10. 30 cm