What is the volume of air swept out by a moving plywood sheet on a track?

[mathguy2]

Homework Statement

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.

Homework Equations

None. The problem is stated in its entirety.

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

 

[Dick]

Homework Statement

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.

Homework Equations

None. The problem is stated in its entirety.

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

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.

 

[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?

 

[Dick]

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?

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

 

[mathguy2]

oh right, inches cubed?

 

[Dick]

oh right, inches cubed?

Sure.