Question

a field is 150m long and 80m broad. A tank 40m long. 20m broad and 10m deep is dug in the field and the earth taken out of it, is spread evenly over the field.how much is the level of field raised?

Answer 1

Given :
Length of tank (l)= 40 m
Breadth of tank(b) = 20 m
Height of tank(h) = 10 m

Length of field (l)= 150 m
Breadth of field(b) = 80 m

Volume of the earth taken out =volume of the volume of the tank= l × b ×h
Volume of the earth dug out = 40 × 20 ×10
Volume of the earth dug out = 8000m³

Let the height of the field rise be ‘h’ m
Volume of the field (cuboidal) = Volume of the earth taken out
l × b ×h = 8000 m³

150 × 80 × h = 8000
h = 8000/(150×80) = 10 /15 = ⅔ m = 0.67 m

Hence, the the level of field raised is 0.67 m

HOPE THIS WILL HELP YOU...

Answer 2

heya..!!!!


let the length of the tank be l
breath = b
height = h

and the length of field be l'
breath = b'
height of field = h'

given that;-

l = 40m
b = 20m
h = 10m

AND

l' = 150m
b' = 80m
h' = ?



now,


Volume of the earth taken out =
volume of the tank = l × b ×h
Volume of the earth dug out = 40 × 20 ×10
Volume of the earth dug out = 8000m³

now,



Volume of the field = Volume of the earth taken out


=> l' × b' ×h' = 8000 m³

=> 150 × 80 × h' = 8000

=> h' = 80/120

=> h' = 8/12

=> h' = 2/3m

Hence, the the level of field raised is 2/3m = 0.67 m