A swimming pool is 6 feet deep at the deep end. It is 10 by 16 feet at the top and 10 by 4 feet at the bottom Recall that pounds is a unit of force and that work is force times distance. 1. A thin layer of water is 1 foot above the bottom of the pool which is 1 inch thick. (a) Estimate the volume of by assuming that it is shaped like a flat box. Find its volume in cubic feet, call it ∆V , and include units.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A swimming pool is 6 feet deep at
the deep end. It is 10 by 16 feet
at the top and 10 by 4 feet at the bottom


Recall that pounds is a unit of force
and that work is force times distance.


1. A thin layer of water is 1 foot above the bottom of the pool which is 1 inch thick.
(a) Estimate the volume of by assuming that it is shaped like a flat box. Find its
volume in cubic feet, call it ∆V , and include units.

### Diagram Explanation: Trapezoidal Prism Pool

#### Structure:
The diagram illustrates a trapezoidal prism representing a swimming pool. This three-dimensional shape has distinct dimensions indicated on the image.

#### Dimensions:
1. **Top Length:** 16 feet
2. **Bottom Length:** 10 feet
3. **Height:** 6 feet
4. **Depth (Width at Base):** 4 feet

#### Description:
- The pool's cross-section is a trapezoid, with the longer base on the top measuring 16 feet and the shorter base at the bottom measuring 10 feet.
- The vertical height of the trapezoid is 6 feet, which corresponds to the depth of the pool.
- The trapezoidal cross-section extends backward by 4 feet, forming the width along the base.

This depiction is highly useful for visualizing pool dimensions and understanding the volume calculations associated with trapezoidal prisms in mathematics and physics.
Transcribed Image Text:### Diagram Explanation: Trapezoidal Prism Pool #### Structure: The diagram illustrates a trapezoidal prism representing a swimming pool. This three-dimensional shape has distinct dimensions indicated on the image. #### Dimensions: 1. **Top Length:** 16 feet 2. **Bottom Length:** 10 feet 3. **Height:** 6 feet 4. **Depth (Width at Base):** 4 feet #### Description: - The pool's cross-section is a trapezoid, with the longer base on the top measuring 16 feet and the shorter base at the bottom measuring 10 feet. - The vertical height of the trapezoid is 6 feet, which corresponds to the depth of the pool. - The trapezoidal cross-section extends backward by 4 feet, forming the width along the base. This depiction is highly useful for visualizing pool dimensions and understanding the volume calculations associated with trapezoidal prisms in mathematics and physics.
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