# Difficult Problem

1. Homework Statement

A solid student in the shape of a rectangular parallelopiped of dimensions 28.0 cm x 19.1 cm x 2.000 m floats horizontally in a calm hot tub filled with warm water; 3.17 cm of the parallelopiped (along the 19.1 cm side) is above the water surface. Find the average density of the student.

2. Homework Equations

maybe density, volume of parallelopiped

3. The Attempt at a Solution

I have no idea how to solve this problem. I tried using geometry to find certain things but it did not help. Any help is appreciated!

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i have a feeling it has something to do with the buoyancy force. you know anything about that?

tiny-tim
Homework Helper
… eureka … !

I tried using geometry to find certain things but it did not help.
Hi jrzygrl!

A rectangular parallelepiped (no "o") (also called a cuboid) is just an ordinary rectangular box!

Hint: have you tried thinking about this in the bath, like Archimedes, and then running down the street completely naked, shouting "Eureka!" ?