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 $m^3$.
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 $Rs.\ 4320$.
Related Articles
- 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 \( \mathrm{m}^{3} \).
- What is the cost of tiling a rectangular plot of land \( 500 \mathrm{~m} \) long and \( 200 \mathrm{~m} \) wide at the rate of \( Rs.\ 8 \) per hundred sq. m.?
- Find the cost of sinking a tubewell $280\ m$ deep, having diameter $3\ m$ at the rate of $Rs.\ 3.60$ per cubic metre. Find also the cost of cementing its inner curved surface at $Rs.\ 2.50$ per square metre.
- Find the cost of fencing a rectangular field 62 m long and 33 m wide at Rs 16 per meter.
- The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per sq m.
- The inner diameter of a circular well is $3.5\ m$. It is $10\ m$ deep. Find the cost of plastering this curved surface at the rate of $Rs.\ 40$ per $m^2$.
- A room is $8.5\ m$ long, $6.5\ m$ broad and $3.4\ m$ high. It has two doors, each measuring $( 1.5\ m\ by\ 1\ m)$ and two windows, each measuring$( 2\ m\ by\ 1\ m)$. Find the cost of painting four walls at $Rs.\ 160$ per $m^2$.
- A closed iron tank $12\ m$ long, $9\ m$ wide and $4\ m$ deep is to be made. Determine the cost of iron sheet used at the rate of $Rs.\ 5$ per metre sheet, sheet being $2\ m$ wide.
- The length, breadth and height of a room are \( 5 \mathrm{~m}, 4 \mathrm{~m} \) and \( 3 \mathrm{~m} \) respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of Rs. \( 7.50 \) per \( \mathrm{m}^{2} \).
- A cuboidal water tank is $6\ m$ long, $5\ m$ wide and $4.5\ m$ deep. How many litres of water can it hold?
- A sheet is in the form of a rhombus whose diagonals are $10\ m$ and $8\ m$. Find the cost of painting both of its surface at the rate of Rs.$70\ per\ m^2$.
- Find the cost of fencing a rectangular park of length \( 175 \mathrm{~m} \) and breadth \( 125 \mathrm{~m} \) at the rate of \( Rs.\ 12 \) per metre.
- A rhombus sheet whose perimeter is $32\ m$ and whose one diagonal is $10\ m$ long, is painted on both sides at the rate of $Rs.\ 5\ per\ m^2$. Find the cost of painting.
- The roots of the equation $x^{2} -3x-m( m+3) =0$, where m is a constant, are:$( A) m, m+3$$( B)-m, m+3$$( C)m, -(m+3)$$( D)-m,-(m+3)$
- A cuboidal water tank is \( 6 \mathrm{~m} \) long, \( 5 \mathrm{~m} \) wide and \( 4.5 \mathrm{~m} \) deep. How many litres of water can it hold? \( \left(1 \mathrm{~m}^{3}=1000 t\right) \).
Kickstart Your Career
Get certified by completing the course
Get Started