Math Problem Statement

A surveyor gathered cross-section notes shown below for a ground excavation for an 8.0m roadway. Determine the area for Sta. 25+100 and Sta. 25+150, the volume due to prismoidal correction, the volume due to end area, and the volume due to prismoidal formula.

Solution

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Math Problem Analysis

Mathematical Concepts

Area calculation
Volume calculation
Prismoidal formula
End area method

Formulas

Prismoidal formula: V = (L/6) * (A1 + A2 + 4Am)
End area formula: V = L * (A1 + A2) / 2
Area formula for cross-section shapes

Theorems

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Suitable Grade Level

Undergraduate level (Engineering/Surveying)

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