A field is in the shape of a rectangle of length 90 m and breadth 75 m. In one corner of the field, a pit, which is 18 m long 15 m broad and 6 m deep, has been dug out. The earth taken out of it is evenly spread over the remaining part of the field. Find the rise in the level of the field?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 25 cm.
Given that
A field is in the shape of a rectangle of length 90 m and breadth 75 m
In one corner of the field, a pit, which is 18 m long 15 m broad and 6 m deep, has been dug out
Let the rise in the level of the field be H
Formula used
Volume of a rectangular pit = Length × Breadth × Height
Calculation
Area of the rectangular field = 90 × 75 = 6750 m2
Area of the pit = 18 × 15 = 270 m2
Remaining area = 6750 - 270 = 6480 m2
Volume of the remaining field with rise = Volume of rectangular pit
6480 × H = 18 × 15 × 6
H = 1/4 m = 100/4 cm = 25 cm