Question

Tank A, measuring 91cm by 40cm by 41cm is half-filled with water.

Tank B, measuring 40cm by 39cm by 88cm is empty.

Without spilling from Tank A into Tank B till both water level were the same, what is the volume of water in Tank B now?

Answer 1

I'm going to assume that the last number in each case is the height. The volume of water in each is going to be:
\[91 \times 40 \times h \text{ for Tank A}\]\[40 \times 39 \times h \text{ for Tank B}\]

Answer 2

Hey BearBug,

Sort of an involved problem. But I would approach the problem by writing down what I know. The important things to know is what is the volume of water that I have now and what are the equations for the water level of each tank.

Water level of Tank A = (Water Volume of A) / (base of A x width of A)
Water level of Tank B = (Water Volume of B) / (base of B x width of B)

The total water volume is provided to us by your first statement:

Water Volume = Water Volume of A + Water Volume of B

Water Volume = (base of A) x (width of A) x (1/2)(height of A)

Once you solve for the water volume you can then set the level equations equal and solve.

Answer 3

Sorry Dalv, didn't mean to cut you short. I was disconnected earlier.

Answer 4

Yo, a good answer was provided in any case ;)