Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13

A1: Solid shapes are three-dimensional figures that have length, breadth, and height. Common examples of solid shapes include cubes, cuboids, cones, and cylinders. Unlike two-dimensional shapes, these objects occupy space and can be viewed from different perspectives.

A2: 2D shapes have only two dimensions—length and breadth—and can be drawn on flat surfaces, like squares or circles. In contrast, 3D shapes have three dimensions—length, breadth, and height—like cubes or spheres. While 2D shapes can be represented easily on paper, 3D shapes are visualized as solid objects that occupy space.

A3: An oblique sketch is a simple way to represent a 3D object on a 2D plane. It gives a distorted view because one side is drawn at an angle. An isometric sketch, on the other hand, provides a more accurate representation of a solid object, with all dimensions to scale, giving a clearer idea of how the object looks from different angles

A4: Cross-sections are the shapes you get when you slice a solid object along a plane. For example, cutting a cylinder horizontally would give a circular cross-section, while cutting a cube horizontally or vertically would give a square cross-section.

A5: Shadows of 3D objects depend on the shape of the object and the angle of light. For example, a cube can cast a square or rectangular shadow, while a cylinder can cast a circular or rectangular shadow based on how light falls on it. Visualizing shadows helps in understanding how 3D objects interact with light​.

A6: Polyhedrons are three-dimensional shapes with flat faces. Each face is a polygon, and the edges of the polygons meet at vertices. Common examples of polyhedrons include cubes (with square faces) and pyramids (with triangular faces). A polyhedron is named based on the shape and number of its faces.

A7: For polyhedrons, the relationship between the number of faces (F), edges (E), and vertices (V) is given by Euler’s formula:
V − E + F = 2
This formula helps in identifying the structure of a polyhedron. For example, a cube has 8 vertices, 12 edges, and 6 faces, satisfying Euler’s formula.

A10: We provide case study questions for CBSE Class 7 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.