4. The swimming pool from example 3 of trapezoids has a width of 15 ft. Find the volume in gallons. (1 gal = 7.48 ft³) %3D In example 3 of the instructional sheet, the area of this cross-section of the pool (along its length) was computed. The width of the pool, between these two vertical walls, forms a prism. (The surface of the water is a 15 by 32 rectangle.) water surface 3 ft 3 ft 12 ft 7 ft 10 ft 20 ft

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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**4. Swimming Pool Volume Calculation**

The swimming pool from example 3 of trapezoids has a width of 15 feet. Find the volume in gallons. (1 gallon = 7.48 cubic feet)

In example 3 of the instructional sheet, the area of this cross-section of the pool (along its length) was computed. The width of the pool, between these two vertical walls, forms a prism. (The surface of the water is a 15 by 32 rectangle.)

**Diagram Description:**

The diagram depicts a cross-section of a swimming pool:

- The water surface is represented as a horizontal line, labeled "water surface."
- At the top, the length of the water surface is divided into two sections: the top parallel section is 20 feet, and the lower section is 10 feet.
- The pool's sides slope inward for a height of 7 feet, culminating in a vertical wall with a height of 3 feet at each end.
- The bottom of the pool is flat, measuring 10 feet in length.
- The full length from top to bottom is 12 feet.  

This cross-section forms a trapezoidal shape, and the calculation involves using its area to determine the pool's volume.
Transcribed Image Text:**4. Swimming Pool Volume Calculation** The swimming pool from example 3 of trapezoids has a width of 15 feet. Find the volume in gallons. (1 gallon = 7.48 cubic feet) In example 3 of the instructional sheet, the area of this cross-section of the pool (along its length) was computed. The width of the pool, between these two vertical walls, forms a prism. (The surface of the water is a 15 by 32 rectangle.) **Diagram Description:** The diagram depicts a cross-section of a swimming pool: - The water surface is represented as a horizontal line, labeled "water surface." - At the top, the length of the water surface is divided into two sections: the top parallel section is 20 feet, and the lower section is 10 feet. - The pool's sides slope inward for a height of 7 feet, culminating in a vertical wall with a height of 3 feet at each end. - The bottom of the pool is flat, measuring 10 feet in length. - The full length from top to bottom is 12 feet. This cross-section forms a trapezoidal shape, and the calculation involves using its area to determine the pool's volume.
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