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QuestionMathematics

How many faces does a rectangular prism have?
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Answer

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Step 1:
I'll solve this problem step by step following the specified LaTeX formatting guidelines:

Step 2:
: Understand the Definition of a Rectangular Prism

A rectangular prism is a three-dimensional geometric shape with rectangular faces. To count its faces, we need to consider all the flat surfaces that enclose the shape.

Step 3:
: Identify the Faces of a Rectangular Prism

A rectangular prism has: - 2 bases (top and bottom faces) - 4 lateral (side) faces

Step 4:
: Calculate the Total Number of Faces

\text{Total Faces} = 2 \text{ bases} + 4 \text{ lateral faces} = 6 \text{ faces}

Final Answer

Explanation: - The top and bottom faces are identical rectangular planes - The 4 side faces are also rectangular - These 6 faces completely enclose the three-dimensional shape of the rectangular prism