For elevating 6.5 dcm of a low land with length of 48 m and breadth of 31.5 m, it is decided that the soil will be collected by scooping a hole in a nearby land with length of 27 m and breadth of 18.2 m, let us calculate the depth of the hole in metre

Let the depth of the hole = x m.

Volume of earth removed from the hole = 27 × 18.2 × x cum.

According to the problem,

27 × 18.2 × x = 48 × 31.5 × 0.65

∴ x=\frac{48 × 31.5 × 0.65}{27 × 18.2} m

=\frac{48 × 315 × 65}{27 × 182 × 100} = 2 m .

∴ Depth of the hole = 2 m.