field is 78 metre long and 27 metre broad a rectangle shape of length 30 cm and breadth 12 metre is dug inside the field and the mud taken out it is spread evenly over the remaining parts of the field to the thickness of 25 cm find the depth of the pit
Answers
Answer:
3.125 meter is the correct answer
Answer:
3.125 metres
Step by step explaination:
This question is testing on finding the area of solids
The area of a rectangle is l × w
Where l is the length and w is the width
We have been told that a pit 13 centimeters long and 12centimetres wide was dug meaning we are supposed to find the area of the remaining part which was not dug
To find the remaining piece which was not dug we find the area of the bigger rectangle minus the area of the smaller rectangle
(78 m × 27 m) - (13m × 12m)
2106 m - 156 m = 1950 metres
We have been told also that soil from the pit was spread up to a layer of 25 centimeters
We can there find the total amount of soil from the pit.
This soil was spread on the remaining area of the plot
To find the total amount of soil we take the area of the remaining plot multiply by the layer of soil
We first change the height into metres
25 cm ÷ 100 = 0.25 m
1950 × 0.25 = 487.5 m³
This area that we have found is the same as the area of the pit
To find the height of the pit ,we divide it by the area of the rectangle forming the mouth of the pit.
487.5 ÷ 156 = 3.125 metres
Hope it helps uh...
MissInvisible...✌️