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## Homework Statement

A rectangular waterproof air mattress is 2.0m long, 0.50mwide and 0.08m thick. It has a mass of 2.0kg and is supporting an additional mass of m, while floating in the water,

calculate the mass, m, assuming the density of water is 1000kg/m^3 and density of air is 1.29kg/m^3

## Homework Equations

B = weight of displaced fluid

B= density of water x volume * g

where B = mass of 2kg, unknown mass and mass of air

## The Attempt at a Solution

I solved it and i got 78.1kg. The answer is 79.9kg

this is what i did:

**m1g + m2g + density(air) * V *g = density(water) * V * g**

solve for m2:

m2 = density(water) * V - density(air) * V - m1

m2 = 1000(0.08) - 1.29(0.08) - 2

m2 = 78.1kg

Can someone point out where i went wrong????