prepared by: Marifa S. Torralba, P Linear Development of Prisms
Linear Dev of Prisms
Nov 20, 2014
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prepared by: Marifa S. Torralba, PhD
Linear Development of Prisms
1
4
3
2
1 23
4
21 43 1 1 2
34
Oblique
45º
A
A B
B
C
C
D
DA B
CD
A B DC A
CD
34
Front View
Top View
Lateral Development Fig.
Surface Development is the unfolding or unrolling of flat or plane surfaces of 3-D objects.
Fig. 1 Right Quadrangular Prism
prepared by: Marifa S. Torralba, PhD
1. Draw a stretch out line from the base of the prism2. Measure the perimeter of the base from the top view and lay off the segments on the stretch out line.3. From the front view, project its total height/altitude parallel to the stretch out line
4. Project the line segment endpoints marked on the stretch out line to this line to identify their respective lateral faces 5. Attach the upper base corresponding to the edge of the lateral face from the dimensions of the top view. (to assure accuracy of dimension, use one end point as pivot and the length of line segment as radius of the arc.)….. The choice of the position of the upper and lower bases are at the most convenient edges of the lateral area….. A PAIR OF THE BASES IS ONLY REQUIRED AS SHOWN OF THE NEST SLIDESS
1
4
3
2
1 23
4
21 43 1 1 2
34
Oblique
45º
A
A B
B
C
C
D
DA B
CD
A B DC A
CD
34
Front View
Top View
Lateral Development Fig.
Surface Development is the unfolding or unrolling of flat or plane surfaces of 3-D objects.
Fig. 1 Right Quadrangular Prism
prepared by: Marifa S. Torralba, PhD
1
4
3
2
1 23
4
21 43 1 1 2
34
Oblique
45º
A
A B
B
C
C
D
DA B
CD
A
B DC A
D
34
Front View
Top View
Lateral Development Fig.
Surface Development is the unfolding or unrolling of flat or plane surfaces of 3-D objects.
Fig. 1 Right Quadrangular Prism
prepared by: Marifa S. Torralba, PhD
1
4
3
2
1 23
4
21 43 1 1 2
34
Oblique
45º
A
A B
B
C
C
D
DA B
CDAB
DC A
Front View
Top View
Lateral Development Fig.
Surface Development is the unfolding or unrolling of flat or plane surfaces of 3-D objects.
Fig. 1 Right Quadrangular Prism
prepared by: Marifa S. Torralba, PhD
BA
12
1
4
3
2
1 23
4
21 43 1 1 2
34
Oblique
45º
A
A B
B
C
C
D
DA B
CD
A B DC A
C
3 2
Front View
Top View
Lateral Development Fig.
Surface Development is the unfolding or unrolling of flat or plane surfaces of 3-D objects.
Fig. 1 Right Quadrangular Prism
prepared by: Marifa S. Torralba, PhD
B
1
4
3
2
1 23
4
21 43 1 1 2
34
Oblique
45º
A
A B
B
C
C
D
D
A
B
C
DA
B
D
C
A
34
Front View
Top View
Lateral Development Fig.
Fig. 2 Truncated Right Quadrangular Prism
x
x
A
BC
D
Partial auxiliary view
prepared by: Marifa S. Torralba, PhD
1. Draw a stretch out line from the base of the prism2. Measure the perimeter of the base from the top view and lay off the segments on the stretch out line.3. From the front view, project the corresponding heights for each lateral edges
4. Project the line segment endpoints marked on the stretch out line & project the corresponding lateral edges to complete the lateral area5. Draw the partial auxiliary view as upper base
Represent the lower base edges with numbers and the upper base edges with letters on the front and top views accordingly.
6. Attach the dimensions of the top view as lower base to any of the bounding edges of the lateral faces of the lateral area correspondingly. The attachment of a pair of the bases to any convenient bounding edges as shown in the next frames is only required to complete the lateral development figure.
With line X as reference, draw line X parallel to the inclined surface in the front view
Then draw projectors perpendicular to line XMeasure the depth of the figure and Project the vertices of upper base to he auxiliary view area
1
4
3
2
1 23
4
21 43 1 1 2
34
Oblique
45º
A
A B
B
C
C
D
D
A
B
C
DA
B
D
C
A
34
Front View
Top View
Lateral Development Fig.
Fig. 2 Truncated Right Quadrangular Prism
x
x
A
BC
D
Partial auxiliary view
prepared by: Marifa S. Torralba, PhD
Aux of th
e
right s
ection
a
m
bs
FRONT VIEW
X
X
1. Draw aux. of right section at any angle2. Project edges to draw the front view & project its vertices 3. With X as reference, measure depths of r.sec, ba, ms, to draw upper base & lower base, then join the bases
TOP VIEW
4. measure perimeter of the right sec. on stretch out line
a b m s a
5. draw lateral edges & measure lengths of the right section in the front view to the upper base
6. measure lengths of the lateral edges
b a
ms7. Attach the upper & lower edges to any bounding edges
prepared by: Marifa S. Torralba, PhD
Fig. 1 Oblique trapezoidal prism
Title
Name
Sec. Date
Activity No.
Station No.Student No.
Marifa S. Torralba,
Top View
ObliqueFront View
Lateral area + bases
Partial auxiliary
view
Fig. 2 Truncated Right Quadrangular PrismFront View
Top View
Lateral area + bases
Fig. 1 Right Quadrangular (Parallelogram) Prism
Surface Development of prisms is the unfolding of the plane surfaces of 3-D objects.
Linear Development of Prisms
Title
Name
Sec. Date
Activity No.
Station No.Student No.
Marifa S. Torralba
Fig. 3 Oblique Quadrangular (Trapezoid) Prism
Aux of th
e
right s
ection
FRONT VIEW
TOP VIEW
LATERAL AREA + BASES
Linear Development of Prisms
Activity Instructions
•The lateral edges (folds) must be in section lines (thin)
•The bounding edges or the periphery of the lateral dev figure in visible lines (thick)•Erase sparingly and retain some pencil lines
prepared by: Marifa S. Torralba, PhD
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