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Select the sketch of the right rectangular prism with height of 2cm and bases that are 5 cm by 3 cm

Select the sketch of the right rectangular prism with height of 2cm and bases that are 5 cm by 3 cm

Elementary Geometry For College Students, 7e
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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Select the sketch of the right rectangular prism with height of 2cm and bases that are 5 cm by 3 cm

 

The image contains two diagrams of 3D rectangular prisms plotted on a coordinate system, each illustrating the X, Y, and Z axes. **Diagram Details:** 1. **Axes Orientation:** - Each diagram features three axes labeled as X, Y, and Z, intersecting at the origin. 2. **Top Diagram:** - The rectangular prism is aligned with the coordinate axes. - The vertices are marked with tick values aligning with integer labels on each axis. - The box is shaded in light green. 3. **Bottom Diagram:** - Similar alignment with the coordinate axes. - The rectangular prism matches dimensions with the top diagram. - Like the top one, it is shaded in a matching light green color. Both diagrams are likely illustrating geometric concepts related to volume, surface area, or transformations using a 3D coordinate system. The repetitive nature of the two boxes may suggest an exploration of spatial reasoning or symmetry.
Transcribed Image Text:The image contains two diagrams of 3D rectangular prisms plotted on a coordinate system, each illustrating the X, Y, and Z axes. **Diagram Details:** 1. **Axes Orientation:** - Each diagram features three axes labeled as X, Y, and Z, intersecting at the origin. 2. **Top Diagram:** - The rectangular prism is aligned with the coordinate axes. - The vertices are marked with tick values aligning with integer labels on each axis. - The box is shaded in light green. 3. **Bottom Diagram:** - Similar alignment with the coordinate axes. - The rectangular prism matches dimensions with the top diagram. - Like the top one, it is shaded in a matching light green color. Both diagrams are likely illustrating geometric concepts related to volume, surface area, or transformations using a 3D coordinate system. The repetitive nature of the two boxes may suggest an exploration of spatial reasoning or symmetry.
**Title: Section of a Rectangular Prism with a Rotate Command** The image displays two diagrams of a rectangular prism, which demonstrate the impact of the "Rotate" command around the y-axis on the prism. Each diagram illustrates a different angular rotation to help understand how the figure changes orientation in space. **Diagram 1:** - A smaller rectangular prism is shown in three-dimensional space. - The prism is aligned with the x, y, and z axes. - The prism appears to have been rotated slightly around the y-axis. - Numerical labels on the axes indicate units of measure along x, y, and z. **Diagram 2:** - A larger rectangular prism positioned similarly in the three-dimensional coordinate system. - This prism appears to have undergone a more significant rotation around the y-axis than the first diagram. - The dimensions along each axis (x, y, and z) are labeled with numerical values to show the extent of rotation. **Explanation of Rotation:** Rotating a shape around an axis involves turning the shape around a fixed line, which in this case is the y-axis. This transforms the coordinates of the prism in the three-dimensional space while keeping the y-coordinates constant. The diagrams serve as a visual representation of geometric transformations, aiding in the understanding of spatial relationships and rotational movements of solid figures like rectangular prisms.
Transcribed Image Text:**Title: Section of a Rectangular Prism with a Rotate Command** The image displays two diagrams of a rectangular prism, which demonstrate the impact of the "Rotate" command around the y-axis on the prism. Each diagram illustrates a different angular rotation to help understand how the figure changes orientation in space. **Diagram 1:** - A smaller rectangular prism is shown in three-dimensional space. - The prism is aligned with the x, y, and z axes. - The prism appears to have been rotated slightly around the y-axis. - Numerical labels on the axes indicate units of measure along x, y, and z. **Diagram 2:** - A larger rectangular prism positioned similarly in the three-dimensional coordinate system. - This prism appears to have undergone a more significant rotation around the y-axis than the first diagram. - The dimensions along each axis (x, y, and z) are labeled with numerical values to show the extent of rotation. **Explanation of Rotation:** Rotating a shape around an axis involves turning the shape around a fixed line, which in this case is the y-axis. This transforms the coordinates of the prism in the three-dimensional space while keeping the y-coordinates constant. The diagrams serve as a visual representation of geometric transformations, aiding in the understanding of spatial relationships and rotational movements of solid figures like rectangular prisms.
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