The mass that can rectangular air mattress can support in water before sinking is 97.2 kg
Consider the rectangular air mattress
The length = 2 meter
The width = 0.500 meter
The thickness = 0.100 meters
The volume = Length × width × thickness
The volume = 2 × 0.500 × 0.100
= 0.1 cubic meters
We know,
Total weight = Volume × Density × g
The density of water = 1000 kg/ meter square
Total mass = 0.1 × 1000 × 9.81
= 981 N
The the equation of mass will be
(2.8 + m) × 9.81 = 981
2.8 + m = 100
m = 100 - 2.8
m = 97.2 kg
Therefore, it will support 97.2 kg water before sinking
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