interpenetration and development...interpenetration the drawing shows the front view and incomplete...

1

Interpenetration

and

Development

2015

Preface: This booklet has examples of different interpenetration and development questions.

Contents:

Question 1 3 Question 2 10 Question 3 17 Question 4 24 Question 5 31 Extra Questions 36

2

QUESTION 1:

The figure shows the top view, incomplete front view and an

auxillary view of a right square prism that has been shaped to fit

around a right regular hexagonal prism, drawn in first-angle

projection. The axes of both solids lie in a common vertical plane.

Draw the following views of both solids:

The given top view

the complete front view, clearly showing the line of intersection

that is formed between the two solids.

Develop the surfaces of the branch solid.

Show all necessary construction.

3

QUESTION 3:

The figure shows the top view, incomplete

front view and an auxillary view of a right

suqare prism that has been shaped to fit

around a right regular pentagonal prism,

drawn in first-angle projection. The axes of

both solids are offset.

Draw the following views of both solids:

The given top view.

The complete front view, clearly

showing the line of intersection that is

formed between the two solids.

Develop the surface of the branch prism

marked A.


16

Draw the basic outline of the given cylinders.

QUESTION 4:

The figure shows the incomplete front view

and top view of a right cylinder that has been

shaped to fit around another right cylinder,

drawn in first angle projection. The axes of

both cylinders lie in a common vertical plane.

Draw the following views of the cylinders:

The given top view.

The complete front view, clearly showing

the line of intersection that is formed

between the cylinders.

Develop the surface of the cylinder

marked A.


23

Divide the branch cylinder into segments.

24

Find where the lines intercept and join those points.

25

For the development, to calculate the circumference of the

circle there are many different methods.

All three are shown here.

Circumference = 2 r

= 2 x 50mm

= 314,2mm

1

4

circumference

3 Diameter

Circumference

26

Delevope the cylinder and divide it into 12 equal parts.

Circumference

27

using the heights from the front view and the points from the

top view you can draw the hole.

Circumference

28

using the heights from the front view and the points from the

top view you can draw the hole.

Circumference

29

DOWN PIPE

Ø70

15°

2015

256

140

85

45°

QUESTION 5:

The drawing below shows a part

of a rain water down pipe. The

circled area shown in the drawing

needs to be developed after first

finding the line of intersection of

the two pipes.

An exploded view of this down

pipe is shown below with its

dimensions scaled down to half its

original size (1:2).

Draw the given pipes (A and B)

as shown in the exploded view.

Find the line of intersection of

the two pipes. Show all

necessary construction.

Develop the surface of pipe B.

5

0

40

45°

Ø35

Ø35

B

A

C

30

4

5

°

31

Circumference = d

= 35

= 110 mm

33

Circumference = d

= 35

= 110 mm

34

Circumference = d

= 35

= 110 mm

35

NAME : GRADE / DIV. :

INTERPENETRATION

50

4

0

The figure below shows the incomplete top

view of a hexagonal pyramid pierced by a

square hole. The axis height of the pyramid

is 110mm.

Draw the following :

1. The given front view.

2. The complete top view.

Show all constructions and hidden detail.

1 2

1 2

X Y

FRONT VIEW

TOP VIEW

TOTAL

5

25

30

38


INTERPENETRATION

50

4

0

The figure below shows the incomplete top

view of a hexagonal pyramid pierced by a

square hole. The axis height of the pyramid

is 110mm.


1. The given front view.

2. The complete top view.

Show all constructions and hidden detail.

1 2

1 2

√√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√

√√√

FRONT VIEW

TOP VIEW

TOTAL

5

25

30

39

The figure below shows the complete left

view and incomplete top view of a right

regular hexagonal pyramid with a right

regular square prismatic hole.

Draw the following:

1. The complete top view;

(show all hidden detail)

2. The complete front view;



INTERPENETRATION

25

YX

Y

1

X

1

40

YX

The figure below shows the complete left

view and incomplete top view of a right

regular hexagonal pyramid with a right

regular square prismatic hole.

Draw the following:

1. The complete top view;


2. The complete front view;



INTERPENETRATION

25

YX

Y

1

X

1

41

The figure below shows an incomplete front view and a

complete top view of a hexagonal prism penetrating a

hexagonal prism. The axes of both solids lie in the same

vertical plane.

Draw the top view and then complete the front view by

determining the curve of penetration.

HEX. PRISM PENETRATING A HEX. PRISM

42

The figure below shows an incomplete front view and a

complete top view of a hexagonal prism penetrating a

hexagonal prism. The axes of both solids lie in the same

vertical plane.

Draw the top view and then complete the front view by

determining the curve of penetration.

HEX. PRISM PENETRATING A HEX. PRISM

43

The figure shows the front view and

incomplete top view of a square

pyramid pierced by a pentagonal

prismatic hole.


1. The given front view. (5)

2. The complete top view. (17)

3. The complete left view. (10)

3. The surface development of the

two panels marked A and B, of the

pyramid, showing clearly the true

shape of the hole. (8)

4

5

4

5

°

12

70

X

A B

1

6

Y

O

O

X


INTERPENETRATION

40

QUESTION ONE

QUESTION MARKS

1

2

TOTAL

5

0

44

The figure shows the front view and

incomplete top view of a square

pyramid pierced by a pentagonal

prismatic hole.


1. The given front view. (5)

2. The complete top view. (17)

3. The complete left view. (10)

3. The surface development of the

two panels marked A and B, of the

pyramid, showing clearly the true

shape of the hole. (8)

4

5

4

5

°

12

70

X

A B

1

6

Y

O

O

X

Y

DEVELOPMENT


INTERPENETRATION

40

ASSESSMENT

TOTAL

FRONT VIEW

TOP VIEW

LEFT VIEW

5

17

10

40

DEVELOPMENT 8

a_

a

a

aa

a

a

a a

a

a

_

_

_

_

_

_ _

_

45

QUESTION 1

30 MARKS

NAME:

MID - YEAR

EXAM 2006H G

GRADE 11

The figure below shows the front view and

incomplete top view of a right regular

hexagonal pyramid with a right regular square

prismatic hole.

Draw the following:

1.1. The complete top view; (18)

(Show all hidden detail)

1.2. The development of the pyramid,

showing only panels A, B, C; (12)

1.3. Show all construction.

46

QUESTION 1

30 MARKS

NAME:

MID - YEAR

EXAM 2006H G

GRADE 11

The figure below shows the front view and

incomplete top view of a right regular

hexagonal pyramid with a right regular square

prismatic hole.

Draw the following:

1.1. The complete top view; (18)

(Show all hidden detail)

1.2. The development of the pyramid,

showing only panels A, B, C; (12)

1.3. Show all construction.

X Y

A

B

C

= 6

T/L

GENER

12

= 4

= 2

18

H/D

=12

= 2

= 4

47

NAME /NAAM: GR. / DIV. :

30

QUESTION 2 T2007SGSECTION A

INTERPENETRATION

The drawing shows the front view and incomplete top

view of a right regular pentagonal pyramid standing

with its base on the HP. The pyramid is pierced by a

right regular equilateral triangular prismatic hole.

Draw the following views of the pyramid:

2.1 The top view clearly showing the hole. (20)

2.2 Develop only surfaces A and B of the pyramid.

Clearly show the position of the hole. (10)

2.3 Show all necessary construction and hidden details.

[30]

DEURDRINGINGS

AFDELING A

VRAAG 2 P2007SG

X

Y

A B

48

INTERPENETRATION

QUESTION TWO

X

Y

A B

2.1

2.2

TOTAL

30

20

10

PROJ.

49

interpenetration and development...interpenetration the drawing shows the front view and incomplete...

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