Question

The area of a courtyard is 3750 ${{m}^{2}}$. Find the cost of converting it with gravel to height 1 cm if the gravel costs Rs.6.40 per cubic meter.

Answer 1

Hint: To solve this problem we should understand that after converting it to the gravel we will have to find its volume and it will be in the rectangular shape so volume is given by length $\times $ breadth $\times $ height. After finding the volume we will multiply it with Rs.6.40 to find the required cost of converting the courtyard into gravel.

Complete step-by-step answer:
We are given a courtyard whose area is 3750 ${{m}^{2}}$.
Now we have to convert it into a gravel with height of 1 cm and then have to find the total cost of doing so if gravel costs Rs.6.40 per cubic meter,
To solve this we will first convert the given height of gravel i.e. 1 cm to meters,
We know that 1 m = 100 cm so we get
Height = 1 cm = 0.01 m ….(2)
Area of courtyard is given as 3750 ${{m}^{2}}$, so we get
$=length\times breadth=3750\,\,....\left( 1 \right)$
Now we know that gravel is in rectangular shape so its volume is given by,
\[=length\times breadth\times height\]

Putting the value of equation 1 and equation 2, we get
$=3750\times 0.01=37.5\,{{m}^{3}}$
Now we will find the total cost to convert it into graveyard by multiplying the cost of Rs.6.40 per cubic meter as,
$=37.5\times 6.40=240$
Hence total cost will be Rs.240.

Note: You may make mistakes in the calculations and take the height as 1 cm only instead of 0.01 m, and may end up with the wrong answer so you need to make sure that all the units of the given parameters are the same before solving it.