Question

A field is 200 m long and 150 m broad. There is a plot, 50 m long and 40 m broad, near the field. The plot is dug 7 m deep and the earth taken out is spread evenly on the field. By how many metres is the level of the field raised? Give the answer to the second place of decimal.

Answer 1

By 0.47 meters , the level of field is raised

Solution:

Given that,

A field is 200 m long and 150 m broad

Therefore,

Length of field = 200 m

Width of field = 150 m

Let the height of filed rises by "h" meters

Find volume of field:

$Volume\ of\ field = 200 \times 150 \times h$

There is a plot, 50 m long and 40 m broad, near the field

The plot is dug 7 m deep

Therefore,

Length of plot = 50 m

Width of plot = 40 m

Height of plot = 7 m

Find volume of plot:

$Volume\ of\ plot = 50 \times 40 \times 7\\\\Volume\ of\ plot = 14000$

The earth taken out is spread evenly on the field

Therefore,

Volume of field = volume of plot

$200 \times 150 \times h = 14000\\\\30000 \times h = 14000\\\\h = \frac{14000}{30000}\\\\h = 0.4666 \approx 0.47\ meter$

Thus, by 0.47 meters , the level of field is raised

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