Question

A plot is in the form of a square of side 125 m. A pit of dimensions 25 m × 18 m × 10 m is dug and the earth dug out is spread evenly around the remaining part of the plot. What will be the height of the plot?​

Answer 1

Answer:

Solution

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Correct option is B)

Outer length (including drainlet) =(240+20) m =260 m

Outer breadth (including drainlet) =(180+20) m =200 m

∴ area of the drainlet =(260×200)m

2

−(240×180)m

2

=52000m

2

−43200m

2

=8800m

2

Let x be the depth of the drainlet

Then volume of earth dug out = Volume of earth spread on the land

⇒8800×x=180×240×0.25

⇒x=

8800

180×240×0.25

=

22

27

=1.227 m