Jan
07
2011

Friday Applied Math: Could I fit in the file drawer in my desk?

It's a big drawer: But I'm a grown man. This could be close...Courtesy JGordon
The human body is more or less the density of water: 1000 kg per cubic meter. (I tend to sink, so I'm probably a little denser, but I think we're close enough here.)

I weigh about 150 pounds, or 68 kg (2.2 pounds per kilogram).
1000kg / 1m^3 = 68kg / ?m^3
? = .068
So the volume of my body is about 0.068 cubic meters.

Each cubic meter equals about 35.3146667 cubic feet.
.068 x 35.315 = 2.401
So the volume of my body is about 2.401 cubic feet

My file drawer is 1 foot wide by 9 inches high (or .75 feet) by 2 feet and 2 inches deep (or 2.167 feet)
1 x .75 x 2.167 = 1.62525
So the volume of my desk drawer is 1.62525 cubic feet

1.62525 < 2.401
So the answer is NO. If you were to blend me up in a giant food processor, and then pour me into my file drawer, I would literally be overflowing.

That's sort of a relief.

Then again, it depends on how much denser I am than water. Maybe I would fit.

Why?

posted on Wed, 01/12/2011 - 4:32pm

Because it's important for the world to know a) how to figure out if they could fit in a drawer; and b) whether or not I could fit in my drawer.

Duuuuuh.

posted on Mon, 01/17/2011 - 10:59am

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