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 $Rs.\ 4320$.

Related Articles 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 $m^3$.
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 \( 6 \mathrm{~m} \) long, \( 5 \mathrm{~m} \) wide and \( 4.5 \mathrm{~m} \) deep. How many litres of water can it hold? \( \left(1 \mathrm{~m}^{3}=1000 t\right) \).
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 fencing a rectangular park of length \( 175 \mathrm{~m} \) and breadth \( 125 \mathrm{~m} \) at the rate of \( Rs.\ 12 \) per metre.
The inner diameter of a circular well is \( 3.5 \mathrm{~m} \). It is \( 10 \mathrm{~m} \) deep. Find(i) its inner curved surface area,(ii) the cost of plastering this curved surface at the rate of Rs. \( 40 \mathrm{per} \mathrm{m}^{2} \).
The length and breadth of three rectangles are as given below :(a) \( 9 \mathrm{~m} \) and \( 6 \mathrm{~m} \)(b) \( 17 \mathrm{~m} \) and \( 3 \mathrm{~m} \)(c) \( 4 \mathrm{~m} \) and \( 14 \mathrm{~m} \)Which one has the largest area and which one has the smallest?
The slant height and base diameter of a conical tomb are \( 25 \mathrm{~m} \) and \( 14 \mathrm{~m} \) respectively. Find the cost of white-washing its curved surface at the rate of Rs. 210 per \( 100 \mathrm{~m}^{2} \).
Find the areas of the rectangles whose sides are :(a) \( 3 \mathrm{~cm} \) and \( 4 \mathrm{~cm} \)(b) \( 12 \mathrm{~m} \) and \( 21 \mathrm{~m} \)(c) \( 2 \mathrm{~km} \) and \( 3 \mathrm{~km} \)(d) \( 2 \mathrm{~m} \) and \( 70 \mathrm{~cm} \)
A river \( 3 \mathrm{~m} \) deep and \( 40 \mathrm{~m} \) wide is flowing at the rate of \( 2 \mathrm{~km} \) per hour. How much water will fall into the sea in a minute?
A room is 15 m long and \( 10 \mathrm{~m} \) broad. Find the cost of carpenting its floor if \( 1 . \) sq. \( \mathrm{cm} \) of carpet costs Rs. 2.00.
If the cost of \( 7 \mathrm{~m} \) of cloth is \( Rs.\ 1470 \), find the cost of \( 5 \mathrm{~m} \) of cloth.
Naveen bought \( 3 \mathrm{~m} 20 \mathrm{~cm} \) cloth for his shirt and \( 2 \mathrm{~m} 5 \mathrm{~cm} \) cloth for his trousers. Find the total length of cloth bought by him.(a) \( 5.7 \mathrm{~m} \)(b) \( 5.25 \mathrm{~m} \)(c) \( 4.25 \mathrm{~m} \)(d) \( 5.00 \mathrm{~m} \)
A cylindrical pillar is \( 50 \mathrm{~cm} \) in diameter and \( 3.5 \mathrm{~m} \) in height. Find the cost of painting the curved surface of the pillar at the rate of RS.\( 12.50 \) per \( \mathrm{m}^{2} \).
A park, in the shape of a quadrilateral \( \mathrm{ABCD} \), has \( \angle \mathrm{C}=90^{\circ}, \mathrm{AB}=9 \mathrm{~m}, \mathrm{BC}=12 \mathrm{~m} \), \( \mathrm{CD}=5 \mathrm{~m} \) and \( \mathrm{AD}=8 \mathrm{~m} \). How much area does it occupy?
Kickstart Your Career
Get certified by completing the course

Get Started