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### Topic: Unit Conversions (Dimensional Analysis)  (Read 3984 times)

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#### tarsis20

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##### Unit Conversions (Dimensional Analysis)
« on: May 07, 2008, 02:19:43 PM »
Here is the problem:

A fish tank is 20.0 inches long, 20.0 inches deep, and 10.0 inches high. What is the maximum volume of water, in liters that the fish tank can hold?

Tip: V= M/D

I don't know how to get the mass and the volume since the problem doesn't give it. It just gives the dimension of the fish tank. I know that this dimensions must be the clue but I don't know how to use them in order to resolve the problem.

I tried to change the dimensions from inches to liters but I doesn't help me too much... or maybe I did them wrong... I don't know.

I hope someone can tell me how to approach the problem. I don't need exact answer. I just want a clarification and an explanation of how to do these type of exercises .

Thanks all

#### Kuahji

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##### Re: Unit Conversions (Dimensional Analysis)
« Reply #1 on: May 07, 2008, 02:25:16 PM »
Just multiply the length, width, & height together.  That will give you the volume of the tank.

Once you find this, the best thing to do, is to convert the in3 to cm3 & from there to mL.  1 cm3=1 mL

You can't really get the mass from the information given, so don't worry about that, just use the above formula for volume.

#### Kuahji

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##### Re: Unit Conversions (Dimensional Analysis)
« Reply #2 on: May 07, 2008, 02:33:55 PM »
Or rather, come to think of it, an easier approach is to convert the inches to cm first.  Then multiply the length, width, and height together.  This will save time & be less confusing.  Because then the cm3=mL.

Sorry for the confusion.  Hope that makes sense.

Here is an example.  Suppose your tank as 2.54 in wide, 2.54 in high, 2.54 in long.

There are 2.54 centimeters in an inch.  So
2.54 in * 2.54cm / 2.54in = 1cm

1 cm * 1 cm * 1cm = 1 cm3

1 cm3 * 1 mL / 1cm3 = 1 mL

1 mL * 1 L / 1000 mL = .001 L

#### tarsis20

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##### Re: Unit Conversions (Dimensional Analysis)
« Reply #3 on: May 07, 2008, 02:40:01 PM »
Thanks it really helps!!! I don't know why I stick with the density formula and tried to adjust it instead of using the volume one but anyways thank you for your #elp!!!!!!

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