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Q.

What will be the breadth of a wall whose volume, 5 times as high as it is broad and 8 times as long as it is high, is 12.8  m 3  ?


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a

30 cm

b

40 cm

c

22.5cm

d

25 cm 

answer is B.

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Detailed Solution

We have to find the breadth of a wall whose volume, 5 times as high as it is broad and 8 times as long as it is high, is 12.8  m 3  .
Note that, the volume of a wall, 5   times as high as it is broad and 8   times.
Suppose the breadth of the wall is xcm  , so, its height =5xcm   and its length:
Question ImageWe know that,
The volume of the cuboid
=length×height×breadth  
Thus, the volume of the wall,
Question ImageNote that, the volume of the wall =12.8 m 3  .
Since, 1 m3=100 ×100×100  cm3
So, 12.8 m3=12.8 ×  100 ×100×100  cm3
Hence,
Question Image So, the breadth of the wall is 40 cm   .
Therefore, option 2 is the correct answer.
 
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