Math Problem Statement

The diagram below is a right rectangular prism. All angles measure 90°. Name two planes that are parallel.

Solution

The problem asks to identify two parallel planes in a right rectangular prism (box shape). Here's the solution based on the labeled diagram you uploaded.

In a right rectangular prism, opposite faces (planes) are parallel. Planes are typically named using three or four points that lie on them. Let's consider the faces in the prism:

  • Plane OQRN and Plane KLMN are parallel. They are the top and bottom faces of the prism.

  • Another pair of parallel planes is OQPK and RLQM, which are the front and back faces of the prism.

  • A third pair of parallel planes is OPKL and RQMN, which are the left and right faces of the prism.

For the answer, one possible correct pair of parallel planes is:

OQRN and KLMN.

Would you like more details or have any questions?

Here are some related questions for further exploration:

  1. How do you find parallel planes in a 3D shape?
  2. What are perpendicular planes in this same prism?
  3. Can diagonal planes in a rectangular prism also be parallel?
  4. How are parallel and perpendicular lines related to parallel planes?
  5. What is the importance of the 90° angles in defining this prism?

Tip: Always look for opposite faces when identifying parallel planes in geometric solids.

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Math Problem Analysis

Mathematical Concepts

Geometry
3D shapes
Parallel planes

Formulas

-

Theorems

Parallel planes theorem

Suitable Grade Level

Grade 7-9