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Tutorial sheet 8 area and volumes
1. KING ABDULAZIZ UNIVERSITY
DEPARTMENT OF CIVIL ENGINEERING
CE-371 ENGINEERING SURVEYING
Tutorial sheet # 8- Areas and Volumes
Dr. Adnan Qadir
Student Id Section-tick ( )the relevant box below
BA CA EA FA
1 | P a g e
Q1) Following are the coordinates of the sides of a closed traverse ABCDE. Calculate the area of the
traverse by the method of coordinates:
Point X (m) Y (m)
A 600.0 500.0
B 804.2 704.2
C 882.9 782.9
D 698.9 598.9
E 601.6 501.6
2. KING ABDULAZIZ UNIVERSITY
DEPARTMENT OF CIVIL ENGINEERING
CE-371 ENGINEERING SURVEYING
Tutorial sheet # 8- Areas and Volumes
Dr. Adnan Qadir
Student Id Section-tick ( )the relevant box below
BA CA EA FA
2 | P a g e
Q2) Calculate the area of the given tract in Hactares
All dimensions are in meter
Q3) Calculate the area of the given tract in Hactares
Figure 1-Irregular boundaries
4.50
m
8
m
8
m
8
m
8
m
4.35
m3.55
m
4.45
m
5.45
m
5.30
m
4.35
m
8
m
8
m
3. KING ABDULAZIZ UNIVERSITY
DEPARTMENT OF CIVIL ENGINEERING
CE-371 ENGINEERING SURVEYING
Tutorial sheet # 8- Areas and Volumes
Dr. Adnan Qadir
Student Id Section-tick ( )the relevant box below
BA CA EA FA
3 | P a g e
Q4) Calculate the area of the composite figure in Hactares
Q5)Determine the area for the illustration.
Figure 2-Area from grids
1:50000 Grid spacing: 5 mm
4. KING ABDULAZIZ UNIVERSITY
DEPARTMENT OF CIVIL ENGINEERING
CE-371 ENGINEERING SURVEYING
Tutorial sheet # 8- Areas and Volumes
Dr. Adnan Qadir
Student Id Section-tick ( )the relevant box below
BA CA EA FA
4 | P a g e
Q6)Determine the quantities of earth from the following cross sectional areas
Distance Cut Area Fill area
m m2 m2
Chainage 4200 82 112
Chaiange 4250 214 78
5. KING ABDULAZIZ UNIVERSITY
DEPARTMENT OF CIVIL ENGINEERING
CE-371 ENGINEERING SURVEYING
Tutorial sheet # 8- Areas and Volumes
Dr. Adnan Qadir
Student Id Section-tick ( )the relevant box below
BA CA EA FA
5 | P a g e
Q7 )Determine the volume of pond from the given data between the lowest and highest contour: Use both
AEA and Prismoidal methods
Q 8) Figure shows a rectangular plot, which is to be excavated to the given reduced level. Assuming area is
subdivided into square method, calculate the volume of earth to be excavated ( Excavated level = 10.00m )
Contour (m) 55 60 65 70 75 80 85
Area(m2) 3510 9650 15870 36780 65650 85800 98500