Final answer:
To find the maximum load of a raft made of these boards, we calculate the total weight of the boards and compare it with the maximum buoyant force that the raft can exert. The maximum load is 28,800 kg.
Step-by-step explanation:
To find the maximum load of a raft made of these boards, we need to calculate the total weight of the boards and compare it with the maximum buoyant force that the raft can exert. Given that each board has dimensions 24 x 200 x 6000 mm and a density of 750 kg/m³, we can calculate the volume of one board as (24/1000) x (200/1000) x (6000/1000) = 2.88 m³.
Since we have 10 boards, the total volume of the boards is 2.88 m³ x 10 = 28.8 m³. To calculate the weight of the boards, we multiply the volume by the density: 28.8 m³ x 750 kg/m³ = 21,600 kg.
The maximum load of the raft is the maximum buoyant force it can exert without sinking. The buoyant force is equal to the weight of the water displaced by the raft. Assuming the raft is floating in water, which has a density of 1000 kg/m³, we can calculate the maximum buoyant force: 28.8 m³ x 1000 kg/m³ = 28,800 kg.
Therefore, the maximum load of the raft made of these boards is 28,800 kg.