Find the cost of digging a cuboidal pit $ 8 \mathrm{~m} $ long, $ 6 \mathrm{~m} $ broad and $ 3 \mathrm{~m} $ deep at the rate of Rs. 30 per $ \mathrm{m}^{3} $.

Given:

A cuboidal pit $8\ m$ long, $6\ m$ broad and $3\ m$ deep.

To do:

We have to find the cost of digging a cuboidal pit $8\ m$ long, $6\ m$ broad and $3\ m$ deep at the rate of $Rs.\ 30$ per $m^3$.

Solution:

Length of the pit $(l) = 8\ m$

Width of the pit $(b) = 6\ m$

Depth of the pit $(h) = 3\ m$

Therefore,

Volume of the earth dugout $= lbh$

$= 8 \times 6 \times 3$

$= 144\ m^3$

Cost of digging the pit at the rate of $Rs.\ 30$ per $m^3 = Rs.\ 30\times144$

$= Rs.\ 4320$

The total cost of digging the pit is $Rs.\ 4320$.