MY SUBJECT WORKS

PROBLEM:   If two cubes with 64 cubic cms. each are combined to form into a cuboid, then what is the total surface area of such cuboid so formed? SOLUTION:   Given: Volume of cube = 64 cubic cms.  It means, a.a.a = 64                   a = cubeth root of 64                   a = 4 cm. Thus, side of each cube is 4 cms. Now, if two cubes with side 4 cms each are combined into a cuboid, the length, l of cuboid would be 4+4=8 cms. It's height, h would be 4cms. and it's breadth, b would be 4cms. TOTAL SURFACE AREA(TSA):                                 METHOD 1 Now, total surface area of cuboid = 2(lb+bh+lh) = 2(8*4 + 4*4 + 8*4) = 2(32+16+32) = 2(80) = 160sq.cms.                                         METHOD 2 Since cuboid is formed by combining two cubes of 4cm. each, we find the sum of total surface areas of cubes. Total surface area of a cube = 6aa = 6*4*4 = 96 sq.cms. Thus sum of total surface areas of two cubes = 2*96 = 192 sq.cm. But this 192 will not becom

We call areas of cube and cuboid as surface areas. This surface area is of 2 types: 1. Lateral(or curved) surface area (LSA), and 2. Total surface area (TSA) And we also have Volume, which means the space inside the cube or cuboid. FORMULAE:     LSA             TSA             VOLUME  CUBE:               4aa             6aa               aaa  CUBOID:         2h(l+b)    2(lb+bh+lh)      lbh In a cube all edges lengths are equal i,e, a. In a cuboid length, breadth and height, non-equl or any two parameters may be equal- if all the three are equal, then it is said to be a cube.

1D-2D-3D-.............-nD: One dimension, say a line with LENGTH,l This is 1D as there is only one dimension - length If we want two dimensional, we need to have another dimension which is perpendicular to the previous dimension i.e., making 90 degrees with length, l. So, draw a line at one end of length that is perpendicular. So, if our previous line is horizontal, now we get a vertical line, let it be breadth,b. So, this is 2D - LENGTH and BREADTH. Examples of two dimensional figures are SQUARE, RECTANGLE, TRIANGLE, CIRCLE, etc,. Now 3D means one more dimension to be added to 2D and it should be perpendicular to length as well as breadth at that same point where length and breadth are perpendicular to each other. This is not possible to draw on a paper exactly as paper itself is a 2D object as there is only length and breadth for the paper, but for the convenience people draw a line cross to length and breadth assuming it makes 90 degrees with both of them and w

HI FRIENDS, I AM PRASHANTH, I HAVE CREATED THIS BLOG TO SHARE MY WORKS ON VARIOUS SUBJECTS, CONCEPTS AND/OR CONTENTS. NOW I AM PURSUING M.COM 1st year AT KU, WARANGAL.