The length and the breadth of a rectangular plot are 12.5 metres and 8 metres respectively. A pit 2 metres long, 2 metres wide and 0.6 metre deep is dug inside the plot and the soil is spread uniformly on the remaining ground. Find the rise in the level of the plot.
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The rise in the level of the plot is 25 mm
Step-by-step explanation:
Given data
- Dimension of pit
Length = 2 m
Breadth = 2 m
Depth = 0.6 m
Volume of pit = Length× Breadth× Depth
Volume of pit = 2× 2× 0.6 = 2.4 m³
- Now soil is spread over filed
- Area of plot over which soil spread = 12.5× 8 -2× 2 = 96 m²
- Let height of rise of plot = H (m)
Volume of plot rise = Area of plot over which soil spread× Height
Volume of plot rise = 96× H (m³)
- Volume of plot rise = Volume of pit
96× H = 2.4
On solving
H = 0.025 m = 25 mm= This is rise in the level of the plot.
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