A rectangular boat has a width of 5 cm, a length of 8 cm, and a mass of 150 g. How far will the boat sink into liquid with a density of 1.2 g/mL? Check your answer.

h = 3.125 cm

Explanation:

We are given;

Width; w = 5 cm

Length; l = 8 cm

Mass; m = 150 g

Density;ρ = 1.2 g/mL

Formula for buoyant force is

Fb = ρgV = ρghA

Now, V is volume and it is given by;

V = mass/density = 150/1.2

V = 125 mL

Converting to cm³ gives; V = 125 cm³

Thus:

Since ρgV = ρghA

ρ and g will cancel out to give;. V = hA

h is the displaced liquid

A is Area = width × length = 5 × 8 = 40 cm².

Thus; 125 = 40h

h = 125/40

h = 3.125 cm

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