Question

The length and breadth of a rectangular field of the village are 20 m and 15 m respectively. For construction of pillars in the 4 corners of that field 4 cubic holes having length of 4 m are dug out and the soils removed are dispersed on the remain. ing land. Let us calculate and write the height of the surfaces of the field that is increased by

January 1, 2024

Answer

Area of the field = 20 m × 15 m = 300 sqm.

Area of the land for 4 pillars = 4 × (4)² Sqm. = 64 sqm.

∴ Remaining part of the land = (300-64) Sqm. = 236 sqm.

The volume of ear’ removed =4 × (4)³ cum. = 256 cum.

Let’s increase the height of the remaining field x m.

∴ 236 × x = 256

x $=\frac{256}{236}=\frac{64}{59}=1 \frac{5}{59} m.$

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