Which of the following three-dimensional shapes has 1 rectangular face and 4 triangular faces ?

Options

A. Rectangular pyramid
B. Triangular pyramid
C. Rectangular prism
D. Triangular prism

Answer

To solve the question "Which of the following three-dimensional shapes has 1 rectangular face and 4 triangular faces?", we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Shape Characteristics**:
- We need a three-dimensional shape with 1 rectangular face and 4 triangular faces.

2. **Consider the Shape Options**:
- Think about common three-dimensional shapes. Some examples are cubes, spheres, pyramids, and prisms.

3. **Analyze Each Shape**:
- **Cube**: A cube has 6 square faces, so it doesn't fit our criteria.
- **Sphere**: A sphere has no faces, so it doesn't fit.
- **Rectangular Prism**: A rectangular prism has 6 rectangular faces, which also doesn't fit.
- **Pyramid**: A pyramid can have a rectangular base and triangular faces.

4. **Focus on the Pyramid**:
- A rectangular pyramid has:
- 1 rectangular face (the base).
- 4 triangular faces (the sides that connect the apex to each side of the rectangle).

5. **Conclusion**:
- The shape that meets the criteria of having 1 rectangular face and 4 triangular faces is a **Rectangular Pyramid**.

### Final Answer:
The three-dimensional shape with 1 rectangular face and 4 triangular faces is called a **Rectangular Pyramid**.

---