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A laser scan of a pavilion's roof is performed, and the point cloud data is obtained. The roof of the pavilion has a triangular cross-section. The following points have been extracted from the scan data for analysis: Points: Point A: (0,0,3) Point B: (10,0,3) Point C: (0,5,4) Point D: (10,5,4) Deliverables: 1. Detailed calculations of the surface area of the pavilion's roof. 2. Detailed calculations of the volume of the pavilion. 3. A report on the planarity assessment of the roof, including the fitted plane equation and the deviations of each point.

A laser scan of a pavilion's roof is performed, and the point cloud data is obtained. The roof of the pavilion has a triangular cross-section. The following points have been extracted from the scan data for analysis: Points: Point A: (0,0,3) Point B: (10,0,3) Point C: (0,5,4) Point D: (10,5,4) Deliverables: 1. Detailed calculations of the surface area of the pavilion's roof. 2. Detailed calculations of the volume of the pavilion. 3. A report on the planarity assessment of the roof, including the fitted plane equation and the deviations of each point.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A laser scan of a pavilion's roof is performed, and the point cloud data is obtained. The roof of the
pavilion has a triangular cross-section. The following points have been extracted from the scan data
for analysis:
Points:
Point A: (0,0,3)
Point B: (10,0,3)
Point C: (0,5,4)
Point D: (10,5,4)
Deliverables:
1. Detailed calculations of the surface area of the pavilion's roof.
2. Detailed calculations of the volume of the pavilion.
3. A report on the planarity assessment of the roof, including the fitted plane equation and the
deviations of each point.
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