Question

The interior dimensions of a rectangular fish 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. If the interior dimensions of the second tank are $3$ feet long, $2$ feet wide and $4$ feet high, what is the height of the water in the second tank?

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

Answer 1

Answer: (D)

$2$ ft

Initial volume of water $=lbh=4\times 3\times 1=12$ cubic feet

Volume of water in second tank $3=$$\times 2$$\times h$

$\Rightarrow 6h=12\Rightarrow h=2$ feet