Mathematics Worksheet/Volume and Surface Area of 3D Shapes

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Cuboid

<quiz display=simple points=1/1> {Find the volume of a cuboid if the dimensions are:}

{length = 16 cm, width = 12 cm and height = 18 cm |type="{}"} { 3,456 cm^3 (i)|3,456cm^3 (i)|3,456 cm3 (i)|3,456cm3 (i)|3,456 cm (i)|3,456cm (i)|3,456|3456 cm^3 (i)|3456cm^3 (i)|3456 cm3 (i)|3456cm3 (i)|3456 cm (i)|3456cm (i)|3456_15 }

{length = 6.5 cm, width = 6 cm and height = 4.5 cm |type="{}"} { 175.5 cm^3 (i)|175.5cm^3 (i)|175.5 cm3 (i)|175.5cm3 (i)|175.5 cm (i)|175.5cm (i)|175.5_15 }

{length = 12 cm, width = 5 cm and height = 6 cm |type="{}"} { 360 cm^3 (i)|360cm^3 (i)|360 cm3 (i)|360cm3 (i)|360 cm (i)|360cm (i)|360_15 }

{length = 7 cm, width = 10.2 cm and height = 8.3 cm |type="{}"} { 592.62 cm^3 (i)|592.62cm^3 (i)|592.62 cm3 (i)|592.62cm3 (i)|592.62 cm (i)|592.62cm (i)|592.62_15 }

{length = 8.4 cm, width = 6.5 cm and height = 20 cm |type="{}"} { 1,092 cm^3 (i)|1,092cm^3 (i)|1,092 cm3 (i)|1,092cm3 (i)|1,092 cm (i)|1,092cm (i)|1,092|1092 cm^3 (i)|1092cm^3 (i)|1092 cm3 (i)|1092cm3 (i)|1092 cm (i)|1092cm (i)|1092_15 }

{length = 5 cm, width = 10 cm and height = 20 cm |type="{}"} { 1,000 cm^3 (i)|1,000cm^3 (i)|1,000 cm3 (i)|1,000cm3 (i)|1,000 cm (i)|1,000cm (i)|1,000|1000 cm^3 (i)|1000cm^3 (i)|1000 cm3 (i)|1000cm3 (i)|1000 cm (i)|1000cm (i)|1000_15 }

{length = 14 cm, width = 7.5 cm and height = 10 cm |type="{}"} { 1,050 cm^3 (i)|1,050cm^3 (i)|1,050 cm3 (i)|1,050cm3 (i)|1,050 cm (i)|1,050cm (i)|1,050|1050 cm^3 (i)|1050cm^3 (i)|1050 cm3 (i)|1050cm3 (i)|1050 cm (i)|1050cm (i)|1050_15 }

{length = 22 cm, width = 7 cm and height = 5.2 cm |type="{}"} { 800.8 cm^3 (i)|800.8cm^3 (i)|800.8 cm3 (i)|800.8cm3 (i)|800.8 cm (i)|800.8cm (i)|800.8_15 }

{length = 21 cm, width = 6 cm and height = 9 cm |type="{}"} { 1,134 cm^3 (i)|1,134cm^3 (i)|1,134 cm3 (i)|1,134cm3 (i)|1,134 cm (i)|1,134cm (i)|1,134|1134 cm^3 (i)|1134cm^3 (i)|1134 cm3 (i)|1134cm3 (i)|1134 cm (i)|1134cm (i)|1134_15 }

{length = 15.7 cm, width = 6.4 cm and height = 8.9 cm |type="{}"} { 894.272 cm^3 (i)|894.272cm^3 (i)|894.272 cm3 (i)|894.272cm3 (i)|894.272 cm (i)|894.272cm (i)|894.272_15 }

{length = 14.6 cm, width = 6.1 cm and height = 7.7 cm |type="{}"} { 685.762 cm^3 (i)|685.762cm^3 (i)|685.762 cm3 (i)|685.762cm3 (i)|685.762 cm (i)|685.762cm (i)|685.762_15 }

{length = 9 cm, width = 16.7 cm and height = 11 cm |type="{}"} { 1,653.3 cm^3 (i)|1,653.3cm^3 (i)|1,653.3 cm3 (i)|1,653.3cm3 (i)|1,653.3 cm (i)|1,653.3cm (i)|1,653.3|1653.3 cm^3 (i)|1653.3cm^3 (i)|1653.3 cm3 (i)|1653.3cm3 (i)|1653.3 cm (i)|1653.3cm (i)|1653.3_15 }

{length = 25 cm, width = 16 cm and height = 10 cm |type="{}"} { 4,000 cm^3 (i)|4,000cm^3 (i)|4,000 cm3 (i)|4,000cm3 (i)|4,000 cm (i)|4,000cm (i)|4,000|4000 cm^3 (i)|4000cm^3 (i)|4000 cm3 (i)|4000cm3 (i)|4000 cm (i)|4000cm (i)|4000_15 }

{length = 14.6 cm, width = 5.82 cm and height = 12.5 cm |type="{}"} { 1,062.15 cm^3 (i)|1,062.15cm^3 (i)|1,062.15 cm3 (i)|1,062.15cm3 (i)|1,062.15 cm (i)|1,062.15cm (i)|1,062.15|1062.15 cm^3 (i)|1062.15cm^3 (i)|1062.15 cm3 (i)|1062.15cm3 (i)|1062.15 cm (i)|1062.15cm (i)|1062.15_15 }

{length = 30.1 cm, width = 14 cm and height = 22.5 cm |type="{}"} { 9,481.5 cm^3 (i)|9,481.5cm^3 (i)|9,481.5 cm3 (i)|9,481.5cm3 (i)|9,481.5 cm (i)|9,481.5cm (i)|9,481.5|9481.5 cm^3 (i)|9481.5cm^3 (i)|9481.5 cm3 (i)|9481.5cm3 (i)|9481.5 cm (i)|9481.5cm (i)|9481.5_15 }

{length = 14 cm, width = 7 cm and height = 3.5 cm |type="{}"} { 343 cm^3 (i)|343cm^3 (i)|343 cm3 (i)|343cm3 (i)|343 cm (i)|343cm (i)|343_15 }

{length = 36.6 cm, width = 21.9 cm and height = 30 cm |type="{}"} { 24,046.2 cm^3 (i)|24,046.2cm^3 (i)|24,046.2 cm3 (i)|24,046.2cm3 (i)|24,046.2 cm (i)|24,046.2cm (i)|24,046.2|24046.2 cm^3 (i)|24046.2cm^3 (i)|24046.2 cm3 (i)|24046.2cm3 (i)|24046.2 cm (i)|24046.2cm (i)|24046.2_15 }

{length = 42 cm, width = 4.74 cm and height = 12.52 cm |type="{}"} { 2,492.4816 cm^3 (i)|2,492.4816cm^3 (i)|2,492.4816 cm3 (i)|2,492.4816cm3 (i)|2,492.4816 cm (i)|2,492.4816cm (i)|2,492.4816|2492.4816 cm^3 (i)|2492.4816cm^3 (i)|2492.4816 cm3 (i)|2492.4816cm3 (i)|2492.4816 cm (i)|2492.4816cm (i)|2492.4816_15 }

{length = 26 cm, width = 35 cm and height = 7 cm |type="{}"} { 6,370 cm^3 (i)|6,370cm^3 (i)|6,370 cm3 (i)|6,370cm3 (i)|6,370 cm (i)|6,370cm (i)|6,370|6370 cm^3 (i)|6370cm^3 (i)|6370 cm3 (i)|6370cm3 (i)|6370 cm (i)|6370cm (i)|6370_15 }

{length = 50 cm, width = 16 cm and height = 15.64 cm |type="{}"} { 12,512 cm^3 (i)|12,512cm^3 (i)|12,512 cm3 (i)|12,512cm3 (i)|12,512 cm (i)|12,512cm (i)|12,512|12512 cm^3 (i)|12512cm^3 (i)|12512 cm3 (i)|12512cm3 (i)|12512 cm (i)|12512cm (i)|12512_15 }

{length = 85 cm, width = 20 cm and height = 44 cm |type="{}"} { 74,800 cm^3 (i)|74,800cm^3 (i)|74,800 cm3 (i)|74,800cm3 (i)|74,800 cm (i)|74,800cm (i)|74,800|74800 cm^3 (i)|74800cm^3 (i)|74800 cm3 (i)|74800cm3 (i)|74800 cm (i)|74800cm (i)|74800_15 } </quiz> <quiz display=simple points="1/1"> {Find the surface area of a cuboid if the dimensions are:}

{length = 512 cm, width = 1.32 cm and height = 9.975 cm |type="{}"} { 11,592.414 cm^2 (i)|11,592.414cm^2 (i)|11,592.414 cm2 (i)|11,592.414cm2 (i)|11,592.414 cm (i)|11,592.414cm (i)|11,592.414|11592.414 cm^2 (i)|11592.414cm^2 (i)|11592.414 cm2 (i)|11592.414cm2 (i)|11592.414 cm (i)|11592.414cm (i)|11592.414_15 }

{length = 6 cm, width = 8 cm and height = 10 cm |type="{}"} { 376 cm^2 (i)|376cm^2 (i)|376 cm2 (i)|376cm2 (i)|376 cm (i)|376cm (i)|376_15 }

{length = 15 cm, width = 6 cm and height = 9 cm |type="{}"} { 558 cm^2 (i)|558cm^2 (i)|558 cm2 (i)|558cm2 (i)|558 cm (i)|558cm (i)|558_15 }

{length = 14 cm, width = 5 cm and height = 4 cm |type="{}"} { 292 cm^2 (i)|292cm^2 (i)|292 cm2 (i)|292cm2 (i)|292 cm (i)|292cm (i)|292_15 }

{length = 17.5 cm, width = 12 cm and height = 8 cm |type="{}"} { 892 cm^2 (i)|892cm^2 (i)|892 cm2 (i)|892cm2 (i)|892 cm (i)|892cm (i)|892_15 }

{length = 15 cm, width = 12.5 cm and height = 24 cm |type="{}"} { 1,695 cm^2 (i)|1,695cm^2 (i)|1,695 cm2 (i)|1,695cm2 (i)|1,695 cm (i)|1,695cm (i)|1,695|1695 cm^2 (i)|1695cm^2 (i)|1695 cm2 (i)|1695cm2 (i)|1695 cm (i)|1695cm (i)|1695_15 }

{length = 25 cm, width = 15 cm and height = 20 cm |type="{}"} { 2,350 cm^2 (i)|2,350cm^2 (i)|2,350 cm2 (i)|2,350cm2 (i)|2,350 cm (i)|2,350cm (i)|2,350|2350 cm^2 (i)|2350cm^2 (i)|2350 cm2 (i)|2350cm2 (i)|2350 cm (i)|2350cm (i)|2350_15 }

{length = 32 cm, width = 8 cm and height = 24 cm |type="{}"} { 2,432 cm^2 (i)|2,432cm^2 (i)|2,432 cm2 (i)|2,432cm2 (i)|2,432 cm (i)|2,432cm (i)|2,432|2432 cm^2 (i)|2432cm^2 (i)|2432 cm2 (i)|2432cm2 (i)|2432 cm (i)|2432cm (i)|2432_15 }

{length = 45 cm, width = 35 cm and height = 55 cm |type="{}"} { 11,950 cm^2 (i)|11,950cm^2 (i)|11,950 cm2 (i)|11,950cm2 (i)|11,950 cm (i)|11,950cm (i)|11,950|11950 cm^2 (i)|11950cm^2 (i)|11950 cm2 (i)|11950cm2 (i)|11950 cm (i)|11950cm (i)|11950_15 }

{length = 60 cm, width = 35 cm and height = 40 cm |type="{}"} { 11,800 cm^2 (i)|11,800cm^2 (i)|11,800 cm2 (i)|11,800cm2 (i)|11,800 cm (i)|11,800cm (i)|11,800|11800 cm^2 (i)|11800cm^2 (i)|11800 cm2 (i)|11800cm2 (i)|11800 cm (i)|11800cm (i)|11800_15 } </quiz>

Cube

  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 c## 8.6 cm
    6. 10 cm
    7. 14 cm
    8. 16.5 cm
    9. 17 cm
    10. 20 cm
    11. 24.3 cm
    12. 26.4 cm
    13. 31.2 cm
    14. 32.5 cm
    15. 65 cm
    16. 75 cm
    17. 80 cm
    18. 92.5 cm
    19. 100 cm

Cylinder

  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 227 if the radius or diameter is a multiple of 7.)
    1. diameter = 28 cm, height = 12 cm
    2. radius = 14 cm, height = 8 cm
    3. radius = 12 cm, height = 10 cm
    4. diameter = 10 cm, height = 5 cm
    5. radius = 35 cm, height = 14 cm
    6. diameter = 32 cm, height = 7 cm
    7. diameter = 20 cm, height = 13 cm
    8. radius = 42 cm, height = 15 cm
    9. radius = 35 cm, height = 18 cm
    10. radius = 26 cm, height = 6 cm
    11. diameter = 50 cm, height = 21 cm
    12. diameter = 70 cm, height = 12 cm
    13. radius = 13 cm, height = 12 cm
    14. radius = 32 cm, height = 14 cm
    15. 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 227 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

  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

  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

  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 227 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 227 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

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