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A prism which has only five rectangular ...

A prism which has only five rectangular faces is called a

A

triangular prism

B

rectangular prism

C

hexagonal prism

D

pentagonal prism

Text Solution

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The correct Answer is:
To solve the question "A prism which has only five rectangular faces is called a ___," we need to identify the type of prism that fits this description. Let's break it down step by step. ### Step-by-Step Solution: 1. **Understanding Prisms**: A prism is a three-dimensional shape that has two parallel faces (called bases) and other faces that are parallelograms. The shape of the bases determines the type of prism. 2. **Identifying the Faces**: The question specifies that the prism has five rectangular faces. This means that out of the total faces, two must be the bases, and the remaining three must be rectangular faces. 3. **Determining the Base Shape**: To have five rectangular faces, the bases must be polygons that can connect to form rectangles. The simplest polygon that can achieve this is a triangle. However, a triangular prism has six faces (two triangular bases and three rectangular faces). 4. **Considering Other Polygons**: If we consider a pentagon as the base, we can visualize it as having two pentagonal faces (the bases) and three rectangular faces connecting them. This gives us a total of five faces: 2 pentagonal and 3 rectangular. 5. **Conclusion**: Therefore, a prism that has only five rectangular faces is called a **pentagonal prism**. ### Final Answer: A prism which has only five rectangular faces is called a **pentagonal prism**.
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