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Learning: Three dimensional Shapes - 1 Video Lecture | Mathematics & Pedagogy Paper 2 for CTET & TET Exams - CTET & State TET

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FAQs on Learning: Three dimensional Shapes - 1 Video Lecture - Mathematics & Pedagogy Paper 2 for CTET & TET Exams - CTET & State TET

1. What are three-dimensional shapes?
Ans. Three-dimensional shapes, also known as 3D shapes, are objects that have three dimensions - length, width, and height. These shapes are not flat like two-dimensional shapes, but they have depth and occupy space. Examples of 3D shapes include cubes, spheres, cylinders, cones, and pyramids.
2. How do you determine the surface area of a three-dimensional shape?
Ans. The surface area of a three-dimensional shape is calculated by finding the sum of the areas of all its surfaces. Each shape has a specific formula to calculate its surface area. For example, the surface area of a cube can be found by multiplying the length of one side by itself and then multiplying by six (since a cube has six equal sides).
3. What is the difference between a convex and a concave three-dimensional shape?
Ans. A convex three-dimensional shape is one in which all of its points on the surface are pointing outward. It has no indentations or hollow parts. On the other hand, a concave three-dimensional shape has at least one indentation or hollow part in its surface, where some points might be pointing inward. Examples of convex shapes include spheres and cubes, while examples of concave shapes include certain types of curved mirrors.
4. How many edges, faces, and vertices does a pyramid have?
Ans. The number of edges, faces, and vertices in a pyramid depends on its type. A regular pyramid, which has a polygon as its base and all its lateral faces as triangles, has one base, a number of triangular faces equal to the number of sides of the base polygon, and the same number of vertices and edges as the base polygon plus one.
5. What is the relationship between three-dimensional shapes and real-life objects?
Ans. Three-dimensional shapes are used to represent real-life objects in a more accurate and realistic way. Many objects in the physical world, such as buildings, furniture, and even our own bodies, can be described and understood using 3D shapes. Understanding three-dimensional shapes helps us visualize and analyze real-world objects and their properties, such as volume, surface area, and spatial relationships.
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