1. ISOMETRIC DRAWING TYPICAL CONDITION.
IN THIS 3-D DRAWING, AN OBJECT IS SO PLACED
IT IS A TYPE OF PICTORIAL PROJECTION
THAT, ITS THREE MUTUALLY PERPENDICULAR
IN WHICH ALL THREE DIMENSIONS OF
EDGES ARE EQUALLY INCLINED WITH THE PLANE
AN OBJECT ARE SHOWN IN ONE VIEW AND
OF PROJECTION. SO ALL THREE DIMENSIONAL
IF REQUIRED, THEIR ACTUAL SIZES CAN BE
AXES APPEAR AT EQUAL INCLINATIONS WITH
MEASURED DIRECTLY FROM IT.
EACH OTHER.( 1200)
3-D DRAWINGS CAN BE DRAWN NOW OBSERVE BELOW GIVEN DRAWINGS.
IN NUMEROUS WAYS AS SHOWN BELOW. ONE CAN NOTE SPECIFIC INCLINATION
ALL THESE DRAWINGS MAY BE CALLED AMONG H, L & D AXES.
3-DIMENSIONAL DRAWINGS, ISO MEANS SAME, SIMILAR OR EQUAL.
OR PHOTOGRAPHIC HERE ONE CAN FIND
OR PICTORIAL DRAWINGS. EQUAL INCLINATION AMONG H, L & D AXES.
HERE NO SPECIFIC RELATION EACH IS 1200 INCLINED WITH OTHER TWO.
AMONG H, L & D AXES IS MENTAINED. HENCE IT IS CALLED ISOMETRIC DRAWING
L
H
H H
PURPOSE OF ISOMETRIC DRAWING IS TO UNDERSTAND
OVERALL SHAPE, SIZE & APPEARANCE OF AN OBJECT PRIOR TO IT’S PRODUCTION.

2. SOME IMPORTANT TERMS:
ISOMETRIC AXES, LINES AND PLANES:
The three lines AL, AD and AH, meeting at point A and making
1200 angles with each other are termed Isometric Axes.
A
The lines parallel to these axes are called Isometric Lines.
The planes representing the faces of of the cube as well as
other planes parallel to these planes are called Isometric Planes.
H
ISOMETRIC SCALE:
When one holds the object in such a way that all three dimensions
are visible then in the process all dimensions become proportionally
inclined to observer’s eye sight and hence appear apparent in lengths.
This reduction is 0.815 or 9 / 11 ( approx.) It forms a reducing scale which
Is used to draw isometric drawings and is called Isometric scale.
In practice, while drawing isometric projection, it is necessary to convert
true lengths into isometric lengths for measuring and marking the sizes.
This is conveniently done by constructing an isometric scale as described
on next page.

3. Solution Steps:
Problem 13.23: A cube of 25 mm 1.Assuming standing on HP, begin with TV,a square with all sides
long edges is so placed on HP on one equally inclined to XY. Project FV and name all points of FV & TV.
2.Draw a body-diagonal joining c’ with 1’( This can become // to xy)
corner that a body diagonal is 3.From 3’ drop a perpendicular on this and name it p’
parallel to HP and perpendicular to 4.Draw 2nd Fv in which 3’p’ line is vertical means c’-1’ diagonal
VP Draw it’s projections. must be horizontal. .Now as usual project TV..
6.In final TV draw same diagonal is perpendicular to VP as said in problem.
Then as usual project final FV.
a1 ’
a’
b’d
b1’ d1’
’
a’ b’d’ c’
p’ c1’
p’ 1’
11’
c’
21’ 41’
2’ 4’
X 1’ 2’ 4’ 3’ 3’ 3 1’ 1
1
Y
d4 41 d1
21 41
a1 c3 11 a1 31 c1
b1 d1
21 b1 c1
b2

4. TYPES OF ISOMETRIC DRAWINGS
ISOMETRIC VIEW ISOMETRIC PROJECTION
Drawn by using True scale Drawn by using Isometric scale
( True dimensions ) ( Reduced dimensions )
D
4
H
H 3
S
TH 2 C
G
LEN 4
E
RU
T 1 3
2 TH S
NG
. LE CONSTRUCTION OF ISOM.SCALE.
0
1 ISOM From point A, with line AB draw 30 0 and
450 inclined lines AC & AD resp on AD.
450 Mark divisions of true length and from
0 300
A B each division-point draw vertical lines
Isometric scale [ Line AC ] upto AC line.
The divisions thus obtained on AC
required for Isometric Projection give lengths on isometric scale.

5. 1 SHAPE Isometric view if the Shape is
ISOMETRIC
OF F.V. or T.V.
D
PLANE FIGURES
L
L D
RECTANGLE H C
A D A
AS THESE ALL ARE
C
2-D FIGURES
WE REQUIRE ONLY
D
TWO ISOMETRIC
AXES. B C B B
B A
IF THE FIGURE IS
TRIANGLE 3 B L
FRONT VIEW, H & L 1 B 1 L 3
AXES ARE REQUIRED. H
A A
IF THE FIGURE IS TOP 3
VIEW, D & L AXES D1
ARE REQUIRED. 2 A 2 2
4
Shapes containing PENTAGON H E
Inclined lines should 1 E
4 1 D 4
be enclosed in a
D
rectangle as shown. D D
E
A A
Then first draw isom. L
L 1 3
of that rectangle and 3 A C
then inscribe that C
2 B
shape as it is. B C 3
2
B
2

6. STUDY 2
Z
ILLUSTRATIONS
DRAW ISOMETRIC VIEW OF A
CIRCLE IF IT IS A TV OR FV.
FIRST ENCLOSE IT IN A SQUARE.
IT’S ISOMETRIC IS A RHOMBUS WITH
D & L AXES FOR TOP VIEW.
THEN USE H & L AXES FOR ISOMETRIC
WHEN IT IS FRONT VIEW.
FOR CONSTRUCTION USE RHOMBUS
METHOD SHOWN HERE. STUDY IT.
2 A B
2
4
A B
3 4
3
D C
1
D C
1

7. 3
STUDY
Z
ILLUSTRATIONS
25 R
DRAW ISOMETRIC VIEW OF THE FIGURE
SHOWN WITH DIMENTIONS (ON RIGHT SIDE)
CONSIDERING IT FIRST AS F.V. AND THEN T.V.
50 MM
IF FRONT VIEW
100 MM
IF TOP VIEW

8. ISOMETRIC SHAPE IF F.V. IF T.V. 4
OF
PLANE FIGURES HEXAGON
AS THESE ALL ARE
2-D FIGURES
WE REQUIRE ONLY
TWO ISOMETRIC
AXES. CIRCLE
IF THE FIGURE IS
FRONT VIEW, H & L
AXES ARE
REQUIRED.
IF THE FIGURE IS For Isometric of Circle/Semicircle use Rhombus method. Construct Rhombus
TOP VIEW, D & L of sides equal to Diameter of circle always. ( Ref. topic ENGG. CURVES.)
AXES ARE
REQUIRED. SEMI CIRCLE
For Isometric of
Circle/Semicircle
use Rhombus method.
Construct it of sides equal
to diameter of circle always.
( Ref. Previous two pages.)

9. 5
STUDY
Z
ILLUSTRATIONS ISOMETRIC VIEW OF
PENTAGONAL PYRAMID
STANDING ON H.P.
(Height is added from center of pentagon)
ISOMETRIC VIEW OF BASE OF
PENTAGONAL PYRAMID
STANDING ON H.P.
4
4
D
D E
E
D D
L L
1 3 1 3
A C
A C
B
2
B
2

10. 6
STUDY
Z
ILLUSTRATIONS
ISOMETRIC VIEW OF
PENTAGONALL PRISM
LYING ON H.P.
4
H E
1 D
A
L
3
C
B
2
ISOMETRIC VIEW OF
HEXAGONAL PRISM
STANDING ON H.P.

11. 7
STUDY
Z
ILLUSTRATIONS
CYLINDER STANDING ON H.P.
CYLINDER LYING ON H.P.

12. 8
STUDY
Z HALF CYLINDER
ILLUSTRATIONS
STANDING ON H.P.
( ON IT’S SEMICIRCULAR BASE)
HALF CYLINDER
LYING ON H.P.
( with flat face // to H.P.)

13. 9
STUDY ISOMETRIC VIEW OF
Z A FRUSTOM OF SQUARE PYRAMID
ILLUSTRATIONS
STANDING ON H.P. ON IT’S LARGER BASE.
60
FV
X Y
40 20
TV

14. STUDY 10
ILLUSTRATION
PROJECTIONS OF FRUSTOM OF ISOMETRIC VIEW
PENTAGONAL PYRAMID ARE GIVEN. OF
FRUSTOM OF PENTAGONAL PYRAMID
DRAW IT’S ISOMETRIC VIEW.
SOLUTION STEPS: 60
60
FV
FIRST DRAW ISOMETRIC
20
OF IT’S BASE.
x y THEN DRAWSAME SHAPE
AS TOP, 60 MM ABOVE THE
E
1 4 BASE PENTAGON CENTER.
A
THEN REDUCE THE TOP TO
20 MM SIDES AND JOIN WITH
TV 40 20 D THE PROPER BASE CORNERS.
B
40
2 3
C

15. ISOMETRIC VIEW OF 11
STUDY A FRUSTOM OF CONE
Z
ILLUSTRATIONS STANDING ON H.P. ON IT’S LARGER BASE.
60
FV
X Y
40 20
TV

16. PROBLEM: A SQUARE PYRAMID OF 30 MM BASE SIDES AND 12
STUDY 50 MM LONG AXIS, IS CENTRALLY PLACED ON THE TOP OF A
Z
ILLUSTRATIONS CUBE OF 50 MM LONG EDGES.DRAW ISOMETRIC VIEW OF THE PAIR.
50
30
50

17. 13
STUDY
Z
ILLUSTRATIONS
c
PROBLEM: A TRIANGULAR PYRAMID
OF 30 MM BASE SIDES AND 50 MM a
LONG AXIS, IS CENTRALLY PLACED o
ON THE TOP OF A CUBE OF 50 MM p a
LONG EDGES. b
DRAW ISOMETRIC VIEW OF THE PAIR.
o c
p
b
SOLUTION HINTS.
TO DRAW ISOMETRIC OF A CUBE IS SIMPLE. DRAW IT AS USUAL.
BUT FOR PYRAMID AS IT’S BASE IS AN EQUILATERAL TRIANGLE,
IT CAN NOT BE DRAWN DIRECTLY.SUPPORT OF IT’S TV IS REQUIRED.
SO DRAW TRIANGLE AS A TV, SEPARATELY AND NAME VARIOUS POINTS AS SHOWN.
AFTER THIS PLACE IT ON THE TOP OF CUBE AS SHOWN.
THEN ADD HEIGHT FROM IT’S CENTER AND COMPLETE IT’S ISOMETRIC AS SHOWN.

18. 14
STUDY PROBLEM:
Z
ILLUSTRATIONS
A SQUARE PLATE IS PIERCED THROUGH CENTRALLY
BY A CYLINDER WHICH COMES OUT EQUALLY FROM BOTH FACES
OF PLATE. IT’S FV & TV ARE SHOWN. DRAW ISOMETRIC VIEW.
FV 30
10
30
30 D
50 +
50
TV

19. 15
STUDY PROBLEM:
Z
ILLUSTRATIONS A CIRCULAR PLATE IS PIERCED THROUGH CENTRALLY
BY A SQUARE PYRAMID WHICH COMES OUT EQUALLY FROM BOTH FACES
OF PLATE. IT’S FV & TV ARE SHOWN. DRAW ISOMETRIC VIEW.
FV 30
10
30
40 SQUARE
60 D
TV

20. 16
STUDY
Z
ILLUSTRATIONS
F.V. & T.V. of an object are given. Draw it’s isometric view.
10
20
40
FV
40
X
Y
TV
50 D 30 D

21. STUDY
Z
ILLUSTRATIONS ISOMETRIC PROJECTIONS OF SPHERE & HEMISPHERE 17
450 r
R
Iso-Direction
r 300 R r
r
Isom. Scale
P
C
r r
R C
R TO DRAW ISOMETRIC PROJECTION
R OF A HEMISPHERE
P r
P Adopt same procedure.
C = Center of Sphere. Draw lower semicircle only.
Then around ‘C’ construct
P = Point of contact Rhombus of Sides equal to
R = True Radius of Sphere Isometric Diameter.
r = Isometric Radius. For this use iso-scale.
Then construct ellipse in
TO DRAW ISOMETRIC PROJECTION OF A SPHERE this Rhombus as usual
1. FIRST DRAW ISOMETRIC OF SQUARE PLATE. And Complete
2. LOCATE IT’S CENTER. NAME IT P. Isometric-Projection
3. FROM PDRAW VERTICAL LINE UPWARD, LENGTH ‘ r mm’ of Hemi-sphere.
AND LOCATE CENTER OF SPHERE “C”
4. ‘C’ AS CENTER, WITH RADIUS ‘R’ DRAW CIRCLE.
THIS IS ISOMETRIC PROJECTION OF A SPHERE.

22. PROBLEM: 18
STUDY
A HEMI-SPHERE IS CENTRALLY PLACED
ON THE TOP OF A FRUSTOM OF CONE. Z
ILLUSTRATIONS
DRAW ISOMETRIC PROJECTIONS OF THE ASSEMBLY.
r
50 D
R r
30 D
r
50
P
50 D
FIRST CONSTRUCT ISOMETRIC SCALE.
USE THIS SCALE FOR ALL DIMENSIONS
IN THIS PROBLEM.
450
R
r 300

23. 19
STUDY A SQUARE PYRAMID OF 40 MM BASE SIDES AND 60 MM AXIS
Z
ILLUSTRATIONS
IS CUT BY AN INCLINED SECTION PLANE THROUGH THE MID POINT
OF AXIS AS SHOWN.DRAW ISOMETRIC VIEW OF SECTION OF PYRAMID.
3’ 4’
4
3 1’2’
X Y
1 a d
1
4
2
o
3
b 2 c

24. 20
STUDY
Z
ILLUSTRATIONS
F.V. & T.V. of an object are given. Draw it’s isometric view.
50
O
X Y
20
25
O
25 20

25. 21
STUDY
F.V. & T.V. of an object are given. Draw it’s isometric view.
Z
ILLUSTRATIONS
35
FV
35
10
x y
O
10 20 30
40
70
TV
O

26. 22
STUDY
Z
ILLUSTRATIONS
F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view.
FV
30 10 30 SV
30
10
30
x y
ALL VIEWS IDENTICAL
TV

27. 24
STUDY
Z
ILLUSTRATIONS
F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view.
ALL VIEWS IDENTICAL
FV SV
x y
10
40 60
40
TV
60

28. F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view. 25
STUDY
Z
ILLUSTRATIONS
ALL VIEWS IDENTICAL
FV SV
x y
10
40 60
40 TV
60

29. 26
STUDY
Z
ILLUSTRATIONS
F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view.
ORTHOGRAPHIC PROJECTIONS
FRONT VIEW L.H.SIDE VIEW
20
20
20
x y
O 50
20
30
O
20 20 20
TOP VIEW

30. 27
STUDY
Z
ILLUSTRATIONS
F.V. and S.V.of an object are given.
Draw it’s isometric view.
30 SQUARE
40 20
50
20
10
O 30
60
F.V.
S.V.
O

31. 28
STUDY
Z
ILLUSTRATIONS
F.V. & T.V. of an object are given. Draw it’s isometric view.
FV
40
10
O
30 D 45
10
50
O
80
TV

32. 29
STUDY F.V. & T.V. of an object are given. Draw it’s isometric view.
Z
ILLUSTRATIONS
FV 40
X O 10 Y
100
10
25
TV
10 30 10
25
30 R O
20 D

33. 30
STUDY F.V. & T.V. of an object are given. Draw it’s isometric view.
Z
ILLUSTRATIONS
30
FV
RECT.
SLOT
10 50
35
10
X Y
O
20 D
TV
60 D
30 D
O

34. 31
STUDY
Z
ILLUSTRATIONS
F.V. and S.V.of an object are given. Draw it’s isometric view.
10
25 15
25
40 10
25
25
O O
80 25
F.V. S.V.

35. F.V. & T.V. of an object are given. Draw it’s isometric view. 32
STUDY
Z
ILLUSTRATIONS
450
30
FV
40
X Y
O
30 D
40 TV
15
40
O

36. 33
STUDY
Z
ILLUSTRATIONS
F.V. and S.V.of an object are given.
Draw it’s isometric view.
HEX PART
30
20
20
40
20
O 50
20
15
O 30
100 60

37. 34
STUDY F.V. & T.V. of an object are given. Draw it’s isometric view.
Z
ILLUSTRATIONS
20 40
F.V.
30
10
X Y
O
10
30
10
30
O 80
T.V.

38. F.V. and S.V.of an object are given.
35
Draw it’s isometric view.
STUDY
10 10 15
Z
ILLUSTRATIONS
25
25
X Y
O 50 10
FV LSV
36
NOTE THE SMALL CHZNGE IN 2ND FV & SV.
DRAW ISOMETRIC ACCORDINGLY.
10
X Y
O FV LSV

39. 37
STUDY
Z
ILLUSTRATIONS
F.V. and S.V.of an object are given.
Draw it’s isometric view.
30 20 10 20
15
10
15
O
15
30
15
X O Y
50
F.V. LEFT S.V.

40. 38
STUDY
Z
ILLUSTRATIONS
F.V. and S.V.of an object are given.
Draw it’s isometric view.
30 10
60
30
O
40 40 O
F.V. S.V.