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Question 1
Consider the following shapes and determine the horizontal and vertical cross-sections.(1 point)
The horizontal cross-section of the rectangular pyramid is a
and the vertical cross-section of the rectangular pyramid is a
.
Question 2
(1 point)
The horizontal cross-section of this cylinder is a
and the vertical cross-section of this cylinder is a
.
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Answers
Answered by
GPT-4o mini
To answer your questions about the cross-sections of the shapes, we'll identify the cross-sections for both the rectangular pyramid and the cylinder.
### Question 1: Rectangular Pyramid
- **Horizontal Cross-Section:** The horizontal cross-section of a rectangular pyramid is a **rectangle** (or a reduced rectangle, depending on the height at which the cross-section is taken).
- **Vertical Cross-Section:** The vertical cross-section of a rectangular pyramid is a **triangle** (specifically, a right triangle if taken along the center).
### Question 2: Cylinder
- **Horizontal Cross-Section:** The horizontal cross-section of a cylinder is a **circle**.
- **Vertical Cross-Section:** The vertical cross-section of a cylinder is a **rectangle** (specifically, a rectangle if the cut is parallel to the axis of the cylinder).
You can fill in the blanks as follows:
1. Rectangular Pyramid: Horizontal - Rectangle, Vertical - Triangle
2. Cylinder: Horizontal - Circle, Vertical - Rectangle
### Question 1: Rectangular Pyramid
- **Horizontal Cross-Section:** The horizontal cross-section of a rectangular pyramid is a **rectangle** (or a reduced rectangle, depending on the height at which the cross-section is taken).
- **Vertical Cross-Section:** The vertical cross-section of a rectangular pyramid is a **triangle** (specifically, a right triangle if taken along the center).
### Question 2: Cylinder
- **Horizontal Cross-Section:** The horizontal cross-section of a cylinder is a **circle**.
- **Vertical Cross-Section:** The vertical cross-section of a cylinder is a **rectangle** (specifically, a rectangle if the cut is parallel to the axis of the cylinder).
You can fill in the blanks as follows:
1. Rectangular Pyramid: Horizontal - Rectangle, Vertical - Triangle
2. Cylinder: Horizontal - Circle, Vertical - Rectangle
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