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

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SUMMARY

The volume of air swept out by a moving rectangular plywood sheet measuring 4 x 8 feet, which is converted to 48 inches by 96 inches, is calculated when the sled moves 3 inches. The area of the plywood is determined to be 4608 square inches. By applying the formula for volume (Length x Width x Height), the calculation yields 13824 cubic inches. Thus, the final volume of air displaced during the motion is 13824 cubic inches.

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mathguy2
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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
 
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mathguy2 said:

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.
 
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?
 
mathguy2 said:
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?
 
oh right, inches cubed?
 
mathguy2 said:
oh right, inches cubed?

Sure.
 

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