Publisher's Synopsis
Solids and 3D figures fill our three dimensional world.Almost all the balls used in our most popular sports are spherical. A large number of the liquid containers we use in daily life are cylinders. Finally, ice cream cones and birthday hats are usually conical in shape. Of course, the number of cubes and cuboids we encounter in our everyday lives is almost unlimited.It is, therefore, very important that we know how much material these shapes hold (their volume) and how much area their external surfaces take up (their total or curved surface area, as the case may be).This book is dedicated to the formulae for these important quantities, and the applications of those formulae to various real life situations.The book starts off with the essential formulae that you will need to calculate the volume, total surface area, and curved surface area of some common solids. Along with these formulae, I have also provided multiple solved examples so that you can understand the applications of the formulae as soon as you learn them, and so that you can appreciate their necessity in the real world.Perhaps the most essential part of learning formulae in applied mathematics is to practice again and again till you have fixed the procedure for solving problems in your head. This book helps you with that; once you have gone through the engaging explanations and carefully solved problems that fill the first half of the book, you can choose to attempt challenging problems of multiple different types, to help you earn a black belt in the volumes and surface areas of solids.The book contains thousands of carefully selected challenging drill problems; these can be attempted singly or in large sets, and as multiple choice questions or as classic calculation problems.All in all, you can spend 50-100 hours to get on top of the topics in this book, and there are up to 1000 hours of practice problems available if you want to go from good to great, or from proficient to excellent.I wish you the best.
