Question

Find the cost of digging a cuboidal pit $8m$ long, $6m$ broad, and $3m$deep at the rate of $Rs30$per $m^3$

Answer 1

Step 1: Calculate the volume of the pit with the given dimensions

Given,

The length of the pit, $L=8\mathrm{m}$

The breadth of the pit, $B=6\mathrm{m}$

The depth of the pit, $D=3\mathrm{m}$

Volume of a cuboid, $V=L\times B\times D$

Thus, the volume of the pit is,

$\begin{array}{rcl}V& =& 8\times 6\times 3\\ & =& 144{\mathrm{m}}^3\end{array}$

Step 2: Calculate the cost of the digging the pit

The cost of digging $1{\mathrm{m}}^3$ pit is $\mathrm{Rs}.30$.

So, the cost of digging a pit of volume $144{\mathrm{m}}^3$ is,

$\begin{array}{rcl}& & 144\times 30\\ & =& \mathrm{Rs}.4320\end{array}$

Hence, the cost of digging a cuboidal pit of given dimensions is $\mathrm{Rs}.4320$.