1. Problem: Identify each 3D shape based on the given number of faces, edges, corners, and face types. 2. (a) The shape has 5 faces, 5 corners, and 8 edges. One face is a square, and the other four are triangles. - This describes a square pyramid. - Explanation: A square pyramid has a square base and four triangular faces meeting at a point (apex). 3. (b) The shape has 1 flat face, 1 curved face, and 1 edge. - This describes a cone. - Explanation: A cone has a circular flat base, one curved surface, and one circular edge where the base meets the curved surface. 4. (c) The shape has 2 flat faces, 1 curved face, and 2 edges. - This describes a cylinder. - Explanation: A cylinder has two parallel circular flat faces (top and bottom), one curved surface, and two circular edges. 5. (d) The shape has 6 faces, 12 edges, and 8 corners. - This describes a cube or a rectangular prism. - Explanation: Both have 6 flat faces, 12 edges, and 8 vertices (corners). If all faces are squares, it is a cube. 6. (e) The shape has 5 faces: 2 triangles and 3 rectangles. - This describes a triangular prism. - Explanation: A triangular prism has two triangular bases and three rectangular lateral faces. 7. (f) The shape has 1 circular base and a curved face. - This describes a cone. - Explanation: Same as (b), a cone has one circular base and one curved surface. 8. (g) The shape has 6 congruent faces. - This describes a cube. - Explanation: A cube has 6 faces that are all congruent squares. Final answers: (a) Square pyramid (b) Cone (c) Cylinder (d) Cube or rectangular prism (e) Triangular prism (f) Cone (g) Cube