Here, we provided to Solid Geometry For BA, BSc, And B Tech Students. In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space.
In Geometry, the shape or the figure that has three (even higher) dimensions, are known as solids or three-dimensional shapes. The study of the properties, volume, and surface area of three-dimensional shapes is called Solid Geometry. Let us go ahead and focus more on the study of geometrical solids. Free download PDF Solid Geometry For BA, BSc, And B Tech Students.
The geometrical figures classified based on the dimensions are as follows:
- Zero dimensional shape – A point.
- One dimensional shape – A line that has a length as its dimension.
- Two-dimensional shapes – A figure that has length and breadth as two dimensions. For example – square, triangle, rectangle, parallelogram, trapezoid, rhombus, quadrilateral, polygon, circle, etc.
- Three-dimensional shapes – An object with length, breadth, and height as three dimensions. For example – cube, cuboid, cone, cylinder, sphere, pyramid, prism, etc.
- Higher-dimensional shapes – There are few shapes expressed in dimensions higher than 3, but we usually do not study them in middle-level mathematics.
What are solids?
In geometry, there are various types of solids. Solids are three-dimensional shapes because they have three dimensions such as length, breadth, and height. The bodies which occupy space are called solids. Free download PDF Solid Geometry For BA, BSc, And B Tech Students.
BOOK NAME – SOLID GEOMETRY FOR BA, BSC & B TECH STUDENTS
AUTHOR – P N CHATTERJEE
SIZE – 24.16MB
PAGES – 726
Solid Geometry deals with 3-dimensional objects like cubes, prisms, cylinders & spheres. It deals with three-dimensions of the figure such as length, breadth, and height. But some solid solids do not have faces (e.g. sphere). It is the study of three dimensions in the Euclidean space. Free download PDF Solid Geometry For BA, BSc, And B Tech Students.
The objects which are around us are three-dimensional. All the three-dimensional shapes are obtained from the rotation operation of 2D shapes. The important attributes of 3D shapes are faces, edges, and vertices. Let us discuss these terms in detail for different geometric shapes. Free download PDF Solid Geometry For BA, BSc, And B Tech Students.
An edge is defined as the line segment on the boundary that joins one vertex to the other vertex. It means that it joins one corner point to the other. It forms the skeleton of 3D shapes. In other words, it can be defined as the faces, that meet in the straight line is called edge.
We know that all the geometric shapes are made up of flat surfaces called faces. It is a flat surface enclosed by the edges. For any three-dimensional shapes, the face should be a two-dimensional figure.
A vertex is defined as the point where the edges of the solid figure meet at each other. Or else, it can be said that, the point where the adjacent sides of the polygon meet. The vertex is the corners where the edges meet.
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