If a hole of volume 2376 cubic meters is dug to construct a well, then what is the volume of concrete required to make the walls of the well so that the maximum capacity of the well is 16.5 lakh liters? A 726 cubic meters B 756 cubic meters C 762 cubic meters D 926 cubic meters
Question
If a hole of volume 2376 m³ is dug to construct a well, then what is the volume of concrete required to make the walls of the well so that the maximum capacity of the well is 16.5 lakh liters?
A 726 m³
B 756 m³
C 762 m³
D 926 m³
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Answer
:
The correct choice is A, which is 726 m³.
First, let's determine the volume of water to be stored:

Volume of water to be stored: $$ = 16.5 \times 10^{5} , \text{liters} $$ Since 1000 liters is equivalent to 1 m³, $$ = 1650 , \text{m}^{3} $$

Volume of the hole dug: $$ = 2376 , \text{m}^{3} $$

Volume of concrete required: To find this, we subtract the volume of water to be stored from the volume of the hole dug: $$ \text{Volume of concrete required} = 2376 , \text{m}^{3}  1650 , \text{m}^{3} $$ $$ = 726 , \text{m}^{3} $$
Thus, the volume of concrete needed to construct the walls of the well is 726 m³.
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