GELE Surveying (Geomatics) — Area and Volume Computation (Earthworks)Slides
Slide deck for GELE Surveying (Geomatics) — Area and Volume Computation (Earthworks). These slides are built for quick visual review, highlighting the key concepts, formulas, and question patterns from this chapter of the GELE 2026 syllabus.
Exam context
Professional Regulation Commission (PRC) — Board of Geodetic Engineering runs the Geodetic Engineer Licensure Examination on September 2026. Its Surveying (Geomatics) section sits under a "Core" weighting, and Area and Volume Computation (Earthworks) is the 4th chapter in the 9-chapter GELE Surveying (Geomatics) rotation. The GELE passing mark is 70% weighted average, no sub-test below 50%, and the most recent 2026 paper drew about a meaningful share of questions from Surveying (Geomatics).
Area and Volume Computation (Earthworks) - Slides
Slides
Chapter Overview: Area and Volume Computation
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S1
Area by Coordinates: The Shoelace Formula
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S2
Shoelace Formula: Worked Example (Rectangular Lot)
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S3
Irregular Boundaries: Trapezoidal Rule
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S4
Simpson's One-Third Rule: Accuracy and Conditions
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S5
Simpson's Rule: Detailed Worked Example
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S6
Earthwork Volumes: End-Area Method
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S7
Earthwork Volumes: Prismoidal Method
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S8
Comparing End-Area and Prismoidal Methods
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S9
Calculating Mid-Section Area (Aₘ) for the Prismoidal Method
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S10
Worked Example: End-Area vs. Prismoidal (Comparative Calculation)
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S11
Mass Diagrams: Planning Haul and Cut-Fill Balance
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Common Errors and Pitfalls in Area and Volume Computation
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Problem-Solving Strategy: Choosing the Right Method
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S14
Real-World Application: Road Embankment Design (Worked Example)
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S15
Summary: Key Formulas and Methods
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Exam Preparation: Practice Problem Set
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S17
Key Takeaways and Learning Outcomes
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S18
Stored In
chapter_slides
Slide Count
18
Summary Only
true
Previous chapter
Traverse and Omitted Measurements
Next chapter
Horizontal Curves (Simple, Compound, Reverse)
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