Compute the volume (in cubic yards - yd) of the borrow-pit figure below: 3.1' 4,110 3,418 3,891 3,526 50' 3.4' 2.3' 150' 100' 2.9' 50' 3.1' 3.8' 100' 3.3'

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Compute the Volume of the Borrow-Pit**

To find the volume in cubic yards (yd³) of the borrow-pit figure shown below, first understand the geometric layout of the pit.

**Diagram Explanation:**

The diagram shows an irregular quadrilateral with multiple triangular and rectangular sections. The dimensions are labeled in feet and indicate the depth along each segment:

- **Top Section (Rectangle):**
  - Width: 50 feet
  - Depths: 3.1 feet on the left, 2.3 feet near the center, and 2.9 feet on the right

- **Bottom Section (Trapezoid):**
  - Bottom Width: 100 feet
  - Heights of trapezoid: Transition from rectangle at 100 feet on each side
  - Depth: 3.4 feet on the left, 3.1 feet in the center, 3.8 feet on the right, and 3.3 feet on the far right
  - Additional dimensions indicate vertical sections dividing the entire pit.

**Options for Volume Calculation:**
Choose the correct volume:
- 4,110 yd³
- 3,418 yd³
- 3,891 yd³
- 3,526 yd³

To solve, break the diagram into sections and compute the volume of each, then sum the volumes to match against the provided options.
Transcribed Image Text:**Compute the Volume of the Borrow-Pit** To find the volume in cubic yards (yd³) of the borrow-pit figure shown below, first understand the geometric layout of the pit. **Diagram Explanation:** The diagram shows an irregular quadrilateral with multiple triangular and rectangular sections. The dimensions are labeled in feet and indicate the depth along each segment: - **Top Section (Rectangle):** - Width: 50 feet - Depths: 3.1 feet on the left, 2.3 feet near the center, and 2.9 feet on the right - **Bottom Section (Trapezoid):** - Bottom Width: 100 feet - Heights of trapezoid: Transition from rectangle at 100 feet on each side - Depth: 3.4 feet on the left, 3.1 feet in the center, 3.8 feet on the right, and 3.3 feet on the far right - Additional dimensions indicate vertical sections dividing the entire pit. **Options for Volume Calculation:** Choose the correct volume: - 4,110 yd³ - 3,418 yd³ - 3,891 yd³ - 3,526 yd³ To solve, break the diagram into sections and compute the volume of each, then sum the volumes to match against the provided options.
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