Question

planes intersect 3-d shapes
two cross sections of a three dimensional figure are shown.
table with two cross sections: parallel to the base (square) and perpendicular to the base (rectangle)
use the drop - down menu to correctly complete the statement.
drop - down menu with options: triangular prism, square pyramid, rectangular prism, cone, cylinder could have these cross sections.

Explanation:

Step1: Analyze cross sections

The cross section parallel to the base is a square (or rectangle), and perpendicular to the base is a rectangle. Let's check each option:

• Triangular prism: Cross section parallel to base would be a triangle, not a square/rectangle. Eliminate.
• Square pyramid: Cross section perpendicular to base (through vertex) would be a triangle, not a rectangle. Eliminate.
• Rectangular prism: Cross section parallel to base (a rectangle/square) and perpendicular (a rectangle) match.
• Cone: Cross sections would be circles or triangles, not rectangles. Eliminate.
• Cylinder: Cross section parallel to base is a circle, not a square/rectangle. Eliminate.

Step2: Confirm the correct shape

From the analysis, only rectangular prism has cross sections matching the given ones.

Answer:

rectangular prism