AP Board Class 7 Maths Chapter 13 Visualising Solid Shapes Guide
1. Plane figures like circles and squares are 2-D, while solid shapes like cubes and spheres are 3-D.
2. Solid shapes have vertices (corners), edges (line segments), and faces (flat surfaces).
3. A net is a 2-D outline that can be folded to form a solid shape.
4. Solid shapes can be drawn in 2-D using oblique or isometric sketches.
5. Different views of a solid shape include cross-sections, shadows, and multiple perspectives (front, side, and top).
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AP Board Class 7 Mathematics Chapter 13 – Visualising Solid Shapes Complete Guide
Below are the key concepts will cover
1. The circle, the square, the rectangle, the quadrilateral and the triangle are examples
of plane figures; the cube, the cuboid, the sphere, the cylinder, the cone and the pyramid are examples of solid shapes.
2. Plane figures are of two-dimensions (2-D) and the solid shapes are of three-dimensions (3-D).
3. The corners of a solid shape are called its vertices; the line segments of its skeleton are its edges; and its flat surfaces are its faces.
4. A net is a skeleton-outline o fa solid that can be folded to make it. The same solid can have several types of nets.
5. Solid shapes can be drawn on a flat surface (like paper) realistically. We call this
2-D representation of a 3-D solid.
6. Two types of sketches of a solid are possible:
(a) An oblique sketch does not have proportional lengths. Still it conveys all important aspects of the appearance of the solid.
(b) An isometric sketch is drawn on an isometric dot paper, a sample of which is given at the end of this book. In an isometric sketch of the solid the measurements kept proportional.
7. Visualising solid shapes is a very useful skill. You should be able to see ‘hidden’ parts of the solid shape.
8. Different sections of a solid can be viewed in many ways:
(a) One way is to view by cutting or slicing the shape, which would result in the cross-section of the solid.
(b) Another way is by observing a 2-D shadow of a 3-D shape.
(c) A third way is to look at the shape from different angles; the front-view, the side-view and the top-view can provide a lot of information about the shape observed.
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