A field is 150 m long and 100 m wide. A plot (outside the field) 50 m

1.	A field is 150 m long and 100 m wide. A plot (outside the field) 50 m long and 30 m wide is dug to a depth of 8 m and the earth taken out from the plot is spread evenly in the field. By how much is the level of field raised?
Answer» Given, Length of field = 150 m Width of field = 100 m Area of field = 150 m × 100 m = 15000 m² Length of plot = 50 m Breadth = 30 m Depth upto which it dug = 8 m So volume of earth taken out from it = 50 × 30 × 8 = 12000 m³ let raise in earth level of field on which it spread = h metre so, = 15000 x h = 12000 = h = \(\frac{12000}{15000}\) = 0.8 m The level of field raised by 0.8 metre

A field is 150 m long and 100 m wide. A plot (outside the field) 50 m long and 30 m wide is dug to a depth of 8 m and the earth taken out from the plot is spread evenly in the field. By how much is the level of field raised?

Answer»

Given,

Length of field = 150 m

Width of field = 100 m

Area of field = 150 m × 100 m = 15000 m²

Length of plot = 50 m

Breadth = 30 m

Depth upto which it dug = 8 m

So volume of earth taken out from it = 50 × 30 × 8 = 12000 m³

let raise in earth level of field on which it spread = h metre

so,

= 15000 x h = 12000

= h = \(\frac{12000}{15000}\) = 0.8 m

The level of field raised by 0.8 metre