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 :

Formulas : 

Curved surface area of cylinder  =  2Πrh

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

Volume of cylinder  =  Πr²h

Cone :

Formulas : 

Curved surface area of cone  =  Πrl

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

Volume of cone  =  Πr²h / 3

Frustum Cone :

Formulas : 

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 :

Formulas : 

Surface area of sphere  =  4Πr²

Volume of sphere  =  4Πr³ / 3

Hemisphere :

Formulas : 

Curved surface area of hemisphere  =  2Πr²

Total surface area of hemisphere  =  3Πr²

Volume of hemisphere  =  2Πr³ / 3

Cube : 

Formulas : 

Surface area of cube  =  4a²

Total surface area of cube  =  6a²

Volume of hemisphere  =  a³

Cuboid : 

Formulas : 

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

Apart from the stuff given above,  if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us : 

v4formath@gmail.com

We always appreciate your feedback. 

You can also visit the following web pages on different stuff in math. 

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6