Skip to main content

Important Mensuration formulas and short notes for 3D figures

We have already discussed Mensuration 2D Short notes, here we will discuss all about Mensuration 3D figures. You can also know some important facts of 3D figures. In this article, abbreviations used are TSA = Total Surface Area, CSA = Curved Surface Area.
SSC CGL Tier II 2017 Mock Tests on Latest Pattern - Attempt Now
Available in Hindi & English. Get Detailed Analysis & All India Rank

# Cuboid :

Given is the cuboid of lenth l, breadth b and height h. 
T.S.A. = 2(lb + bh + lh)
Volume = lbh
Diagonal =  
Important:  If area of faces of cuboid are x,y and z
Then, volume of cuboid 

#Cube

Let the side of given cube is 'a'.
T.S.A. = 6a2
Volume = a3
Diagonal of cube = 

# Sphere

let the radius of given sphere is 'r' and in case of sphere total surface area is equal to curved surface area.
C.S.A. = T.S.A. = 
Volume =  

# Hemi-Sphere

Assume r is the radius of given hemisphere.

# Quarter-Sphere

Let 'r' is the radius of given diagram. You have to imagine this diagram, this is 1/4th part of Sphere.


 

# Cylinder

# Hollow-Cylinder

r1 = outer radius
r2 = inner radius

# Frustum

# Cone

r = radius
h = height of cone
l = slant height
# Important relation between radius, height and slant height of similar cone.
 
 
Important: 
1.From a solid cylinder no. of maximum solid cone of same height and radius as cylider are 3.
2.From a solid sphere, no. of maximum solid cone having height and radius equal can be made are 4.
3.From a solid hemisphere, no. of maximum solid cone having height and radius equal can be made are 2.
To help you with your preparation for SSC CGL Tier I 2017 Exam, Gradeup has launched SSC CGL Tier I 2017 Online Test Series in Hindi & English based on latest pattern. While the 1st test of the test series is free, the complete pack cost is Rs. 295/- only. You will get All India Rank and can check your preparation for SSC CGL 2017 Tier 1 Exam.

Comments

Post a Comment

Popular posts from this blog

Must Do: Speed, Distance and Time tricks with Example

Time and Distance The term times and distance area related to the speed of moving objects  Speed — We define the speed of an object as the distance covered by it in a unit time interval.  Speed =(Distance travelled)/(time taken) ⇒  Distance travelled = Speed × time  ⇒ Time =  Distance/Speed  Unit of measurement  If distance is measured in kilometer, we measure time in hours and speed is written as km/hr.  If distance is measured in meter, then time is taken in second and speed written as m/s  Conversion of unit 1 km/hr = (1000 mtr)/(60×60 seconds)=5/18 m/s 1 m/s =18/5 km/hr Ex. –   A train having length 500 m passes a pole in 30 second. Find the speed of a train (in km/hr)  ⇒Speed=Distance/time=500/30 m/s =500/30×18/5 km/hr  = 60 km/hr  Some useful short cut methods
Post a Comment
Read more

oneplus

https://www.amazon.com/gp/product/B07XM8GDWC/ref=as_li_tl?ie=UTF8&tag=mathseasytric-20&camp=1789&creative=9325&linkCode=as2&creativeASIN=B07XM8GDWC&linkId=60c0dad110cb8bd3e97834a135f02632 https://amzn.to/38t5n4h
Post a Comment
Read more

Tricks to Solve Quadratic Equation With Examples

Quadratic equations – These are the equations which look like ax 2  + bx + c = 0 These equations are asked in the competitive examinations in a set of 5 questions. Enough with the theory, the question in exams look like - In each of the following questions, two equations are given. Solve these equations and give answer: A)  If x >= y, i.e. x is greater than or equal to y B)  If x > y, i.e. x is greater than y C)  If x <= y, i.e. x is less than or equal to y D)  If x < y, i.e. x less than y E)  If x = y, or no relation can be established between x and y Question 1: . Here we will discuss a method to solve these equations with minimal writing and as reduced time as possible. Keep in mind; we are doing exactly what we used to do before, just in a less time and less writing. +b +c * +a    Note that I have written coefficients along with their signs +5 +6 * +1    Now, the next task for us is to find the factors in a way which when multiplied give c*a  +5 +6    (whic
Post a Comment
Read more