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Question

Thimpu arranges cubes of volume 1 cu. cm into a 7 x 7 layer as shown below. How many such layers should be stacked one above other to form a cube of volume 343 cu. cm ?






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Solution

Number of cubes in one layer shown = 7 x 7
= 49.
Volume of each small cube = 1 cu. cm
So, Volume of the shown layer = 49 cu. cm
Volume of cube to be formed = 343 cu. cm

So, Number of such layers to form cube = 343 ÷ 49 = 7

7 such layers are to stacked one above other to form a cube of 343 cu. cm

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