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August 30, 2014

August 30, 2014

Posted by **Andrew** on Tuesday, June 19, 2007 at 11:10am.

I know that I can find the volume and area, and the density of water. But I cannot find an equation to find the max weight that can be added to the matress. Can someone help?

The maximum mass it can support without sinking (Mmax), PLUS its own mass, equals the mass of the water displaced. The mattress' volume is

V = 2.1x0.55x0.13 = 0.1502 m^3.

(10^3 kg/m^3) V = Mmax + 0.22 kg

Therefore

Mmax = 150.2 kg - 0.22 kg = 150.0 kg.

The mass of the air mattress does not make a lot of difference in the answer in this case.

Thank you so much!!! It was correct.

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