Mathematics Worksheet/Volume and Surface Area of 3D Shapes

Cuboid

Find the volume of a cuboid if the dimensions are:

1 length = 16 cm, width = 12 cm and height = 18 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 = 10 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

Find the surface area of a cuboid if the dimensions are:

1 length = 512 cm, width = 1.32 cm and height = 9.975 cm

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

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==diameter=36cm,height=6cm

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

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 ${\frac {22}{7}}$ 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