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Write down the number of vertices of eac...

Write down the number of vertices of each of the following figures.
(i) Cuboid, (ii) Square pyramid, (iii) Tetrahedron, (iv) Triangular prism,

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The correct Answer is:
To find the number of vertices for each of the given three-dimensional figures, we will analyze each shape step by step. ### Step 1: Count the vertices of a Cuboid - A cuboid has 8 corners. - These corners are where the edges meet. - Therefore, the number of vertices in a cuboid is **8**. ### Step 2: Count the vertices of a Square Pyramid - A square pyramid has a square base and one apex (top point). - The corners of the square base contribute 4 vertices, and the apex adds 1 more vertex. - Therefore, the total number of vertices in a square pyramid is **5**. ### Step 3: Count the vertices of a Tetrahedron - A tetrahedron is a three-dimensional shape with four triangular faces. - It has 4 vertices, one at each corner of the shape. - Therefore, the number of vertices in a tetrahedron is **4**. ### Step 4: Count the vertices of a Triangular Prism - A triangular prism has two triangular bases and three rectangular faces. - Each triangular base contributes 3 vertices, and since there are two bases, we have 3 + 3 = 6 vertices. - Therefore, the total number of vertices in a triangular prism is **6**. ### Summary of Vertices - Cuboid: 8 vertices - Square Pyramid: 5 vertices - Tetrahedron: 4 vertices - Triangular Prism: 6 vertices
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