Question

The interiors of a rectangular tank are $4$ feet long, $3$ feet wide, and $2$ feet high. The water level in the tank is $1$ foot high. All of the water in this tank is poured into an empty second tank. Find the height of the water in the second tank if the interior dimensions of the second tank are $3$ feet long, $2$ feet wide and $4$ feet high.

• A. $0.5$ ft
• B. $1$ ft
• C. $1.5$ ft
• D. $2$ ft

Answer 1

The correct option is D $2$ ft

Volume of the water in the first tank $=length\times breadth\times height=4\times 3\times 1=12$ cubic feet
The volume of water will remain same in the second tank as well as all the water is poured into it.
Hence, $3\times 2\times height=12$
$=>height=2feet$
Thus, the water level in the second tank will be $2$ feet high.