The density of bamboo is 400 kg / m3. What is the largest load a raft with an area of 10m2

The density of bamboo is 400 kg / m3. What is the largest load a raft with an area of 10m2 and a thickness of 50 cm can carry?

Data: S (area of bamboo raft) = 10 m2; h (raft thickness) = 50 cm (SI h = 0.5 m).

Reference values: according to the condition ρb (density of bamboo) = 400 kg / m3; ρw (water density) = 1000 kg / m3.

The largest load that a bamboo raft can carry is determined using the equality: Fa = ρw * g * V = Ft = m * g = (mp + mg), whence mp + mg = ρw * V and mg = ρw * V – mp = ρb * S * h – ρb * V = ρb * S * h – ρb * S * h = S * h * (ρb – ρb).

Calculation: mg = 10 * 0.5 * (1000 – 400) = 3000 kg.