# Building Physical Models

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1. Feb 17, 2015

### mathguy2

1. The problem statement, all variables and given/known data
A rectangular 4 x 8 foot sheet of plywood is fixed to a sled which moves on a track. The face of the plywood is perpendicular to the direction of the track. The sled is pushed a distance of 3 inches. What is the volume of air swept out during this motion.

2. Relevant equations
None. The problem is stated in its entirety.

3. The attempt at a solution
I know that the sides of the rectangle must be converted to inches, so 48 inches and 96 inches respectively. And I know Area = LW, so Area = 4608 inches squared. The next steps are unknown

Last edited: Feb 17, 2015
2. Feb 17, 2015

### Dick

When that rectangle is pushed forward 3 inches it sweeps out a box shaped volume. They want to know the volume of that box. That's all.

3. Feb 17, 2015

### mathguy2

Oh, wow.

So the volume of that box would be:

Length times Width times Height of the box?

48inches x 96inches x 3inches = 13824?

13824 is the volume of air that is swept out during this motion?

4. Feb 17, 2015

### Dick

Almost. 13824 isn't a volume by itself. You need to put units on it. 13824 what?

5. Feb 17, 2015

### mathguy2

oh right, inches cubed?

6. Feb 17, 2015

Sure.