A pit is dug in the shape of a cuboid with dimensions $10 m \times 8 m \times 3 m .$ The earth taken out is spread evenly on a rectangular plot of land with dimensions $40 m \times 30 m$ . What is the increase in the level of the plot?

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Solution

Dimensions of pit which is in the shape of a cuboid is $= (10 \times 8 \times 3) m$
Volume of the pit $= l b h = 10 \times 8 \times 3 = 240 m^{3}$
Dimensions of the rectangular plot $= (40 \times 30) m$
Area of rectangular plot $= l \times b$
Area of the rectangular plot $= 40 \times 30 = 1200 m^{2}$
Volume of earth dug out (Volume of cuboidal pit) $=$ area of rectangular plot $\times$ height
$∴ 240 = 1200 \times h$
$h = \frac{240}{1200} = 0.2 m = 20 c m$
Hence increase in the level of the plot is $20 c m .$

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A pit is dug in the shape of a cuboid with dimensions 10 m×8 m×3 m. The earth taken out is spread evenly on a rectangular plot of land with dimensions 40 m×30 m. What is the increase in the level of the plot?

A pit is dug in the shape of a cuboid with dimensions $10 m \times 8 m \times 3 m .$ The earth taken out is spread evenly on a rectangular plot of land with dimensions $40 m \times 30 m$ . What is the increase in the level of the plot?