Solve Difficult Problem: Average Density of Rectangular Parallelopiped

[jrzygrl]

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.

Homework Equations

maybe density, volume of parallelopiped

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!

 

[BishopUser]

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

 

[tiny-tim]

… 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!" ?