6 ст 15 сm 22 ст 8 ст 13 сm 17 ст

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
SectionP.CT: Test
Problem 1CT
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Find the volume of the figure.

This diagram displays a three-dimensional geometric structure comprised of a combination of rectangular and trapezoidal shapes. The dimensions of the structure are clearly labeled to provide a comprehensive understanding of its size and shape. Here are the detailed measurements of each section:

- **Top Rectangle:**
  - Length: 6 cm
  - Height: 15 cm

- **Middle Trapezoid:**
  - Height: 8 cm
  - Top Base: 6 cm
  - Bottom Base: 13 cm
  - Sides: The lengths of the non-parallel sides are not provided, but they connect the top and bottom bases of the trapezoid.

- **Bottom Rectangle:**
  - Length: 17 cm
  - Height: 8 cm
  - Depth (common for both top and bottom rectangles): 15 cm

- **Overall Height of Structure:** 
  - Total height combining the top rectangle, middle trapezoid, and bottom rectangle: 22 cm. This dimension is derived from the sum of the heights of the contributing shapes (8 cm from the middle section and 14 cm from the combined dimensions of the top and bottom sections).

This arrangement and its dimensions are useful for calculating surface area, volume, and understanding the geometric properties of the structure.
Transcribed Image Text:This diagram displays a three-dimensional geometric structure comprised of a combination of rectangular and trapezoidal shapes. The dimensions of the structure are clearly labeled to provide a comprehensive understanding of its size and shape. Here are the detailed measurements of each section: - **Top Rectangle:** - Length: 6 cm - Height: 15 cm - **Middle Trapezoid:** - Height: 8 cm - Top Base: 6 cm - Bottom Base: 13 cm - Sides: The lengths of the non-parallel sides are not provided, but they connect the top and bottom bases of the trapezoid. - **Bottom Rectangle:** - Length: 17 cm - Height: 8 cm - Depth (common for both top and bottom rectangles): 15 cm - **Overall Height of Structure:** - Total height combining the top rectangle, middle trapezoid, and bottom rectangle: 22 cm. This dimension is derived from the sum of the heights of the contributing shapes (8 cm from the middle section and 14 cm from the combined dimensions of the top and bottom sections). This arrangement and its dimensions are useful for calculating surface area, volume, and understanding the geometric properties of the structure.
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