Question

A 3-dimensional figure has a square base and 4 lateral faces that meet at a point. Explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex, and when a slice is made perpendicular to the base and not through the vertex.

Answer 1

Answer:

The figure is a square pyramid. A slice made perpendicular to the base and through the vertex creates a cross section with the shape of a triangle. A slice made perpendicular to the base and not through the vertex is a trapezoid.

Step-by-step explanation:

this is the sample response

Answer 2

This figure is a square pyramid. If you have vertical cross sections through the vertex of the pyramid, then you end up with a triangle as figure 1 shows. See the attached image below. Figure 2 shows a trapezoid forms when the vertical cross section is not through the vertex.