Question

The height of Chandamri Road is to be raised. So, 30 cuboidal holes with equal depth and of equal measure are dug out on both sides of the road and with this soil the road is elevated. If the length and breadth of each hole are 14m and 8m respectively and if the total quantity of soil required to make the road be 2520 cubic metres then let us calculate the depth of each hole

January 1, 2024

Answer

Let the depth of each hole = x m.

Volume of each hole = 14 × 8 × x cum.

Volume of 30 holes = 30 × 14 × 8 × x cum.

According to the problem,

30 × 14 × 8 × x = 2520

∴ x = $\frac{2520}{30 × 14 × 8}=\frac{6}{8}=\frac{3}{4} m$

∴ Depth of each hole $=\frac{3}{4}$ m=0.75 m.

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