# Important Mensuration formulas and short notes for 3D figures

By Rahul Chadha|Updated : November 26th, 2017

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.

## # 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.

## # Cone

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.

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All the Best

write a comment

Thank you Sir

ram vankuDec 9, 2017

Sagar KapoorDec 31, 2017

At least edit the bloopers like Vol of cuboid is lbh and not root(lbh)
This z completely wrong why means csa provides

Jeet SinghApr 30, 2018

Deepak KumarMay 30, 2018

In Hindi  language

It is invisible

jitendra kumarSep 14, 2018

Thanx sir

ABHAY PRATAPMay 16, 2019

Sir plz pdf me provide kijiye.

Raj KumarSep 15, 2020

@Rahul Chadha sir , should we practice questions of prism for the exam  ? Gradeup quiz has prism questions .

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