MENSURATION FORMULAS

In this section, we are going to see mensuration formulas which can be used to find cured surface area, total surface area and volume of 3-D shapes like cylinder, cone and sphere. 

Cylinder

Curved surface area of cylinder  =  2πrh

Total surface area of cylinder  =  2πr(h + r)

Volume of cylinder  =  πr²h

Cone

Curved surface area of cone  =  πrl

Total surface area of cone  =  2πr(l + r)

Volume of cone  =  πr²h/3

Frustum Cone

Curved surface area of frustum cone  =  π(R + r)l

Total surface area of frustum cone is

 =  π(R + r)l + πR² + πr²

 Volume of frustum cone  =  πh/3 ⋅ (R² + Rr + r²)

Sphere

Surface area of sphere  =  4πr²

Volume of sphere  =  4πr³/3

Hemisphere

Curved surface area of hemisphere  =  2πr²

Total surface area of hemisphere  =  3πr²

Volume of hemisphere  =  2πr³/3

Cube

Surface area of cube  =  4a²

Total surface area of cube  =  6a²

Volume of hemisphere  =  a³

Cuboid

Surface area of cuboid  =  2(hw + lh)

Total surface area of cuboid  =  2(lw + hw + lh)

Volume of cuboid  =  l x w x h

Mensuration Calculators

1. Rectangle Area Calculator

2. Acreage Calculator

3. Circle Calculator

4. Sphere Calculator

5. Hemisphere Calculator

6. Cone Calculator

7. Cylinder Calculator

8. Rectangle Calculator

9. Kite Area Calculator

10. Cube Volume Calculator

11. Cube Area Calculator

12. Pyramid Calculator

13. Square Calculator

14. Barrel Volume Calculator

15. Pipe Volume Calculator

16. Rhombus Area Calculator

17. Cuboid Calculator

18. Heron's Triangle Area Calculator

19. Trapezium Area Calculator

20. Regular Polygon Area Calculator

21. Polygon Angle Calculator

22. Circle Sector Area Calculator

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