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.
Show all necessary construction.
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.
Show all necessary construction.
23
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
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
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
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
√√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√
√√√
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;
(show all hidden detail)
NAME : GRADE / DIV. :
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;
(show all hidden detail)
2. The complete front view;
(show all hidden detail)
NAME : GRADE / DIV. :
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.
Draw the following :
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
NAME : GRADE / DIV. :
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.
Draw the following :
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
NAME : GRADE / DIV. :
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