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Textbook Solutions: Three Dimensional Shapes | Mathematics Class 6 (Maharashtra Board) PDF Download
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FAQs on Textbook Solutions: Three Dimensional Shapes - Mathematics Class 6 (Maharashtra Board)
| 1. What are the different types of three-dimensional shapes? |  |
Ans. Three-dimensional shapes can generally be classified into two main categories: polyhedra and non-polyhedra. Polyhedra are shapes with flat surfaces (faces) that are polygons, such as cubes, prisms, and pyramids. Non-polyhedra include shapes with curved surfaces, like spheres, cylinders, and cones. Each type has distinct properties and characteristics that differentiate them from one another.
| 2. How do you calculate the volume of common three-dimensional shapes? | |
Ans. The volume of three-dimensional shapes can be calculated using specific formulas. For example, the volume of a cube is found by raising the side length to the power of three (V = side^3). For a rectangular prism, the formula is V = length × width × height. The volume of a cylinder is calculated using V = π × radius^2 × height, while for a sphere, the formula is V = (4/3) × π × radius^3. Each formula helps determine the space occupied by the shape.
| 3. What is the difference between surface area and volume in three-dimensional shapes? | |
Ans. Surface area refers to the total area of all the surfaces of a three-dimensional shape, while volume measures the amount of space inside the shape. For instance, a cube has a surface area calculated as 6 × side^2, whereas its volume is calculated as side^3. Understanding both concepts is crucial in various applications, such as packaging and construction.
| 4. Can you provide examples of real-life objects that represent three-dimensional shapes? | |
Ans. Yes, many everyday objects represent three-dimensional shapes. A basketball is an example of a sphere, while a can of soda represents a cylinder. A box is a common example of a rectangular prism, and a pyramid can be seen in structures like the Great Pyramid of Giza. Recognizing these shapes in the real world helps in understanding their properties and applications.
| 5. Why is it important to learn about three-dimensional shapes in mathematics? | |
Ans. Learning about three-dimensional shapes is essential because it enhances spatial awareness and geometric understanding. It has practical applications in fields such as architecture, engineering, and design. Additionally, it helps develop problem-solving skills and critical thinking, which are valuable in various academic and real-world scenarios.
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Sep 02, 2025
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