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Question

The rectangular field is 112m long and 62m broad. A cubical tank of edge 6m is dug at each of the four corner of the field and the earth so removed is evenly spread on the remaining field. Find the rise in level.

A
11.74cm (approx.)
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B
12.72cm (approx.)
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C
17.28cm (approx.)
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D
19.75cm (approx.)
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Solution

The correct option is C 17.28cm (approx.)
Length of the rectangular field =112m
Breadth of the field =62m
Edge of the cubical tank =6m
Volume of the cube =6×6×6 =216m3
Volume of 4 cubical tanks =4×216m3=864m3
Thus, the length and breath is reduced by 6+6=12cm .
Thus, the new length l=11212=100cm
and the new breath b=6212=50cm
Let rise in level =h
l×b×h=864
=>100×50×h=864
=>h=8645000
=>h=0.1728m
=>h=17.28cm

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