Question

a The soil dug out from a plot of land of length 50m and breadth 40m to 1 depth of 7m was evenly spread out over a plot of land size 200m x 150m.​

Answer 1

Step-by-step explanation:

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