# Math Help - 3rd Conversion Problem / Question

1. ## 3rd Conversion Problem / Question

Thank You for the Help!

-qbkr21

2. There are approx. 28.32 liters in a cubic foot. Go from there?.

3. ## RE:

I know I have to convert, but before I do so is the 12.5 x 15.5 x 8.0 the length that needs to be cubed to equal the volume?

4. $1\ ft = 0.3048\ m$

So to get the volume in $m^3$, you do this calulcation:

$12.5 \cdot 15.5 \cdot 8.0\ ft^3 = 12.5 \cdot 15.5 \cdot 8.0 \cdot 0.3048^3\ m^3$

$1\ m^3 = 1000\ liters$

So you have:

$12.5 \cdot 15.5 \cdot 8.0 \cdot 0.3048^3 \cdot 1000\ liters$

I think you can handle it from here.

5. Originally Posted by Spec
$1\ ft = 0.3048\ m$

So to get the volume in $m^3$, you do this calulcation:

$12.5 \cdot 15.5 \cdot 8.0\ ft^3 = 12.5 \cdot 15.5 \cdot 8.0 \cdot 0.3048^3\ m^3$

$1\ m^3 = 1000\ liters$

So you have:

$12.5 \cdot 15.5 \cdot 8.0 \cdot 0.3048^3 \cdot 1000\ liters$

I think you can handle it from here.
What I am not understanding how to ft. to ft.^3 . Seems like if you cubed the ft.^3 you would have to originally cube the numbers $12.5 \cdot 15.5 \cdot 8.0\$ too. The problem never mention the room was measured in feet cubed just feet.

6. $12.5\ ft \cdot 15.5\ ft \cdot 8.0\ ft = 1550\ ft \cdot ft \cdot ft = 1550\ ft^3$

A room is three-dimensional, so it makes sense that the unit for describing the volume of a room is also three-dimensional.

7. Originally Posted by Spec
$12.5\ ft \cdot 15.5\ ft \cdot 8.0\ ft = 1550\ ft \cdot ft \cdot ft = 1550\ ft^3$

A room is three-dimensional, so it makes sense that the unit for describing the volume of a room is also three-dimensional.
See this is what I mean wording. You just gave me a big heads up and I thank you.

RE: