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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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1 answer

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