A low land, 48 m long and 31.5 m broad is raised to 6.5 dm. For this, earth is removed from a cuboidal hole, 27 m long and 18.2 m broad, dug by the side of the land. The depth of the hole will be

Given, dimensions of low land are length (l) = 48 m

Breadth (b) = 31.5 m

Depth (h) = 6.5 dm = 0.65 m

Volume of low land = lbh = 48 x 31.5 x 0.65

Let the depth of the hole = d

Length of the cuboidal hole = 27 m

Breadth of the cuboidal hole = 18.2 m

Volume of cuboidal hole = 27 x 18.2 x d

Since low land is filled from the cuboidal hole

Volume of low land = Volume of cuboidal hole

$$=$$>  48 x 31.5 x 0.65 = 27 x 18.2 x d

$$=$$>  d = 2 m

$$\therefore\ $$The depth of the hole = 2 m

Hence, the correct answer is Option C