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Name each of the following 3-dimensional...

Name each of the following 3-dimensional shapes.
(i) It has one triangular base and three triangular faces.
(ii) It has two opposite pentagonal bases while other faces are rectangles.
(iii) It has one curved face and two circular plane faces.

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The correct Answer is:
Let's solve the question step by step. ### Step 1: Identify the first shape The first shape has one triangular base and three triangular faces. - **Analysis**: A shape with a triangular base and three triangular faces is formed by connecting the vertices of the triangular base to a single point above the base. - **Conclusion**: This shape is called a **Triangular Pyramid**. ### Step 2: Identify the second shape The second shape has two opposite pentagonal bases while the other faces are rectangles. - **Analysis**: A shape with two pentagonal bases connected by rectangular faces is created by joining the corresponding vertices of the pentagons with rectangles. - **Conclusion**: This shape is called a **Pentagonal Prism**. ### Step 3: Identify the third shape The third shape has one curved face and two circular plane faces. - **Analysis**: A shape with two circular faces (one on the top and one on the bottom) and a curved surface connecting them is known as a cylinder. - **Conclusion**: This shape is called a **Cylinder**. ### Final Answers: (i) Triangular Pyramid (ii) Pentagonal Prism (iii) Cylinder ---
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