Math Problem Statement
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:
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Plane OQRN and Plane KLMN are parallel. They are the top and bottom faces of the prism.
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Another pair of parallel planes is OQPK and RLQM, which are the front and back faces of the prism.
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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:
- How do you find parallel planes in a 3D shape?
- What are perpendicular planes in this same prism?
- Can diagonal planes in a rectangular prism also be parallel?
- How are parallel and perpendicular lines related to parallel planes?
- 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
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Theorems
Parallel planes theorem
Suitable Grade Level
Grade 7-9