Question

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

Answer 1

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.

Answer 2

well i was given DV/DT

Answer 3

How much water can this tank hold?

Answer 4

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

Answer 5

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.

Answer 6

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

Answer 7

thank you very much, great help!