Mathematics Worksheet/Volume and Surface Area of 3D Shapes

Cuboid
 {Find the volume of a cuboid if the dimensions are:}

{length = 16 cm, width = 12 cm and height = 18 cm { 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 }
 * type="{}"}

{length = 6.5 cm, width = 6 cm and height = 4.5 cm { 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 }
 * type="{}"}

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

{length = 7 cm, width = 10.2 cm and height = 8.3 cm { 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 }
 * type="{}"}

{length = 8.4 cm, width = 6.5 cm and height = 20 cm { 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 }
 * type="{}"}

{length = 5 cm, width = 10 cm and height = 20 cm { 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 }
 * type="{}"}

{length = 14 cm, width = 7.5 cm and height = 10 cm { 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 }
 * type="{}"}

{length = 22 cm, width = 7 cm and height = 5.2 cm { 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 }
 * type="{}"}

{length = 21 cm, width = 6 cm and height = 9 cm { 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 }
 * type="{}"}

{length = 15.7 cm, width = 6.4 cm and height = 8.9 cm { 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 }
 * type="{}"}

{length = 14.6 cm, width = 6.1 cm and height = 7.7 cm { 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 }
 * type="{}"}

{length = 9 cm, width = 16.7 cm and height = 11 cm { 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 }
 * type="{}"}

{length = 25 cm, width = 16 cm and height = 10 cm { 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 }
 * type="{}"}

{length = 14.6 cm, width = 5.82 cm and height = 12.5 cm { 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 }
 * type="{}"}

{length = 30.1 cm, width = 14 cm and height = 22.5 cm { 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 }
 * type="{}"}

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

{length = 36.6 cm, width = 21.9 cm and height = 30 cm { 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 }
 * type="{}"}

{length = 42 cm, width = 4.74 cm and height = 12.52 cm { 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 }
 * type="{}"}

{length = 26 cm, width = 35 cm and height = 7 cm { 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 }
 * type="{}"}

{length = 50 cm, width = 16 cm and height = 15.64 cm { 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 }
 * type="{}"}

{length = 85 cm, width = 20 cm and height = 44 cm { 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 }  {Find the surface area of a cuboid if the dimensions are:}
 * type="{}"}

{length = 512 cm, width = 1.32 cm and height = 9.975 cm { 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 }
 * type="{}"}

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

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

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

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

{length = 15 cm, width = 12.5 cm and height = 24 cm { 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 }
 * type="{}"}

{length = 25 cm, width = 15 cm and height = 20 cm { 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 }
 * type="{}"}

{length = 32 cm, width = 8 cm and height = 24 cm { 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 }
 * type="{}"}

{length = 45 cm, width = 35 cm and height = 55 cm { 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 }
 * type="{}"}

{length = 60 cm, width = 35 cm and height = 40 cm { 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 }
 * type="{}"}

Cube

 * 1) Find the volume of a cube if the edge is:
 * 2) 4 cm
 * 3) 6 cm
 * 4) 7.5 cm
 * 5) 12 cm
 * 6) 15 cm
 * 7) 16.5 cm
 * 8) 19.2 cm
 * 9) 21.3 cm
 * 10) 22 cm
 * 11) 25 cm
 * 12) 30 cm
 * 13) 32.7 cm
 * 14) 34.32 cm
 * 15) 37 cm
 * 16) 45 cm
 * 17) 57.5 cm
 * 18) 61.537 cm
 * 19) 65.463 cm
 * 20) 70 cm
 * 21) 100 cm
 * 22) Find the surface area of a cube if the edge is:
 * 23) 2 cm
 * 24) 3.3 cm
 * 25) 4.3 cm
 * 26) 6 cm
 * 27) 7.5 c## 8.6 cm
 * 28) 10 cm
 * 29) 14 cm
 * 30) 16.5 cm
 * 31) 17 cm
 * 32) 20 cm
 * 33) 24.3 cm
 * 34) 26.4 cm
 * 35) 31.2 cm
 * 36) 32.5 cm
 * 37) 65 cm
 * 38) 75 cm
 * 39) 80 cm
 * 40) 92.5 cm
 * 41) 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.)
 * 2) diameter = 28 cm, height = 12 cmi dnt ilike 8cm lengeth hahahahha 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
 * 16) 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.)
 * 17) diameter = 25 cm, height = 7.5 cm
 * 18) radius = 18 cm, height = 12 cm
 * 19) radius = 16 cm, height = 14 cm
 * 20) diameter = 35 cm, height = 17.5 cm
 * 21) diameter = 28 cm, height = 15 cm
 * 22) radius = 42 cm, height = 20 cm
 * 23) radius = 15 cm, height = 16 cm
 * 24) radius = 8 cm, height = 15 cm
 * 25) diameter = 56 cm, height = 22.5 cm
 * 26) radius = 35 cm, height = 8.5 cm
 * 27) diameter = 18 cm, height = 20 cm
 * 28) radius = 24 cm, height = 9 cm
 * 29) radius = 63 cm, height = 12 cm
 * 30) radius = 70 cm, height = 18 cm
 * 31) 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:
 * 2) base length = 9 cm, base height = 14 cm, height = 20 cm
 * 3) base length = 12 cm, base height = 5 cm, height = 13 cm
 * 4) base length = 14 cm, base height = 8.5 cm, height = 3 cm
 * 5) base length = 22 cm, base height = 8.5 cm, height = 9 cm
 * 6) base length = 15 cm, base height = 14 cm, height = 16 cm
 * 7) base length = 8 cm, base height = 2 cm, height = 25 cm
 * 8) base length = 25 cm, base height = 16 cm, height = 24 cm
 * 9) base length = 17 cm, base height = 20 cm, height = 25 cm
 * 10) base length = 30 cm, base height = 25 cm, height = 17.5 cm
 * 11) base length = 25 cm, base height = 15 cm, height = 20 cm
 * 12) Find the surface area of a triangular prism if the base length, base height and the height are:
 * 13) base length = 3 cm, base height = 4 cm, height = 5 cm
 * 14) base length = 8 cm, base height = 15 cm, height = 17 cm
 * 15) base length = 6 cm, base height = 8 cm, height = 10 cm
 * 16) base length = 12 cm, base height = 16 cm, height = 20 cm
 * 17) base length = 25 cm, base height = 10 cm, height = 26 cm
 * 18) base length = 20 cm, base height = 21 cm, height = 29 cm
 * 19) base length = 15 cm, base height = 20 cm, height = 25 cm
 * 20) base length = 21 cm, base height = 28 cm, height = 35 cm
 * 21) base length = 33 cm, base height = 44 cm, height = 55 cm
 * 22) 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:
 * 2) base length = 12 cm, base width = 8 cm, height = 5 cm
 * 3) base length = 15 cm, base width = 14 cm, height = 10 cm
 * 4) base length = 11 cm, base width = 10.5 cm, height = 16 cm
 * 5) base length = 24 cm, base width = 12 cm, height = 5 cm
 * 6) base length = 30 cm, base width = 15.5 cm, height = 8 cm
 * 7) base length = 17 cm, base width = 12 cm, height = 25 cm
 * 8) base length = 32 cm, base width = 15 cm, height = 24 cm
 * 9) base length = 10 cm, base width = 14 cm, height = 7 cm
 * 10) base length = 14 cm, base width = 25 cm, height = 9 cm
 * 11) base length = 24 cm, base width = 30 cm, height = 12 cm
 * 12) Find the surface area of a rectangular pyramid (rectangular base shape) if the base length, base width and height are:
 * 13) base length = 2 cm, base width = 6 cm, height = 4.5 cm
 * 14) base length = 12 cm, base width = 8 cm, height = 10 cm
 * 15) base length = 24 cm, base width = 14 cm, height = 9 cm
 * 16) base length = 16 cm, base width = 9 cm, height = 14 cm
 * 17) base length = 22 cm, base width = 8 cm, height = 14 cm
 * 18) base length = 25 cm, base width = 18 cm, height = 21 cm
 * 19) base length = 32 cm, base width = 14 cm, height = 26 cm
 * 20) base length = 35 cm, base width = 28 cm, height = 21 cm
 * 21) base length = 44 cm, base width = 35 cm, height = 26 cm
 * 22) 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.)
 * 2) 2 cm
 * 3) 5 cm
 * 4) 6 cm
 * 5) 8 cm
 * 6) 10 cm
 * 7) 12 cm
 * 8) 16 cm
 * 9) 21 cm
 * 10) 25 cm
 * 11) 56 cm
 * 12) 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.)
 * 13) 3 cm
 * 14) 5 cm
 * 15) 6.3 cm
 * 16) 8.7 cm
 * 17) 10 cm
 * 18) 14 cm
 * 19) 16.7 cm
 * 20) 23.1 cm
 * 21) 25.3 cm
 * 22) 30 cm