Math, asked by santoskkumar1169, 2 months ago

this rectangular block contain 64 smaller block if one small blocks is removed from each corner of the larger block about how many Would be left?

Answers

Answered by amitnrw
1

Given : This rectangular block contains 64 smaller blocks.

one small block is removed from each corner of the large block

To Find :   how many would be left  

Solution:

rectangular block contains 64 smaller blocks.

64 = 1 * 1 * 64

will have only two corners

Hence left = 64 - 2 = 62  blocks

rectangular block contains 64 smaller blocks.

64 = 1 * ( l * b)      l * b = 64  but l , b  ≠ 1  ( can be be 2*32 , 4 * 16 , 8 * 8)

will have  four corners

Hence left = 64 - 4 = 60  blocks

rectangular block contains 64 smaller blocks.

64  = lbh  , l, b & h ≠ 1

can be 2 * 2 * 16  ,  2 * 4 * 8  ,  4 * 4 * 4  

Then it will have 8 corners

Hence left = 64 - 8 = 56  blocks

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