Question

planes intersect 3-d shapes
two cross sections of a three dimensional figure are shown.
cross section cut
parallel to the base perpendicular to the base
use the drop-down menu to correctly complete the statement.
a could have these cross sections.
cube
square pyramid
triangular pyramid
cone
cylinder

Explanation:

Step1: Analyze cross sections

The cross - section parallel to the base is a square, and the cross - section perpendicular to the base is a triangle.

Step2: Evaluate each option

• Cube: A cross - section perpendicular to the base of a cube will be a square, not a triangle. So, a cube is not the correct option.
• Square pyramid: The base of a square pyramid is a square. A cross - section parallel to the base will be a square (similar to the base). A cross - section perpendicular to the base (through the apex) will be a triangle. This matches the given cross - sections.
• Triangular pyramid: The base of a triangular pyramid is a triangle. A cross - section parallel to the base will be a triangle, not a square. So, a triangular pyramid is not the correct option.
• Cone: A cross - section parallel to the base of a cone is a circle, not a square. So, a cone is not the correct option.
• Cylinder: A cross - section parallel to the base of a cylinder is a circle, and a cross - section perpendicular to the base is a rectangle. So, a cylinder is not the correct option.

Answer:

square pyramid