## amorfide 3 years ago a rectangular based water tank, 1.5m by 1.2m. what is it's depth? ( or the formula for the depth)

1. 2le

You only give 2 dimensions. Usually, when dealing with a volume based problem, you have 3 dimensions. the 1.5x1.2m shows the rectangle. You need a z-direction to get the up-down position.

2. amorfide

well i was given DV/DT

3. nabizag

How much water can this tank hold?

4. amorfide

make up an amount, i just need to know how to work out the depth

5. 2le

V=bhd b=base h=height D=depth $\frac{dV}{dt}=\frac{dV}{db}\frac{db}{dt}+\frac{dV}{dh}\frac{dh}{dt}+\frac{dV}{dD}\frac{dD}{dt}$ You're missing a lot of information. It's very difficult to understand your problem. To find the depth, you need the volume. If you're given dV/dt, and that value is not equal to 0, that means the volume is changing.

6. 2le

if your base and height are held constant, then your depth is changing. the equation becomes $\frac{dV}{dt}=\frac{dV}{db}*0+\frac{dV}{dh}*0+\frac{dV}{dD}\frac{dD}{dt}$

7. amorfide

thank you very much, great help!