Answer:
0.26 m³
Explanation:
There are three forces on the boat: weight of the boat, weight of the passengers, and buoyancy.
∑F = ma
B - mg - Mg = 0
Buoyant force is equal to the weight of the fluid displaced.
ρVg - mg - Mg = 0
ρV - m - M = 0
V = (m + M) / ρ
Given m = 20 kg, M = 110 kg, and ρ = 1000 kg/m³:
V = (20 + 110) / 1000
V = 0.13 m³
Since this is half of the boat's volume, the total volume is 0.26 m³.
