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Identify rectangular prisms

A rectangular prism is a three-dimensional, box-shaped solid with six flat rectangular faces, twelve edges, and eight vertices; its dimensions and orientation may vary, and a cube is a special case whose faces are squares. Identification depends on these defining attributes rather than whether the solid is drawn in a familiar position or appears elongated. Volume, surface area, nets, and formal geometric classification are not included.

Detailed Explanation: Identify rectangular prisms

A rectangular prism is a solid shape like a box.

Look for these features:

  • It has 6 flat faces.
  • The faces are rectangles.
  • It has 12 edges.
  • It has 8 corners (also called vertices).

The shape can be turned or placed in any position. A cube is also a rectangular prism because its square faces are special rectangles.

Example

A toy box is turned on its side. It has:

  • 6 flat faces
  • 12 edges
  • 8 corners

Is the toy box a rectangular prism?

Step 1: Check the faces.
The toy box has 6 flat faces, and each face is a rectangle.

Step 2: Check the edges and corners.
It has 12 edges and 8 corners.

Step 3: Decide.
All the important features match, so the toy box is a rectangular prism.

Remember: A box is still a rectangular prism even when it is turned or looks tall, short, or wide.

Learn by doing: Identify rectangular prisms

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Identify Shapes 3D - Count Rectangular Prisms


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