a passenger vessel has a dimension of 700m by 650m by 1000m and has a mass of 500,000. what its density in kg/m³
Answers 1
Answer:
[tex] \therefore [/tex] The density of passenger vesel is 1.09 kg/m³
Explanation:
To find the density of cruise ship, we must use the formula:
- [tex] \boxed{\bold{\rho = \frac{m}{V}}} [/tex]
But since we have given dimensions of the cruise ship, we are going to solve its volume first by using the formula below:
- [tex] \boxed{\bold{V = lwh}} [/tex]
Assuming that the cruise ship is rectanglar
Thus,
- [tex] \rm{V=(700)(650)(1000) = 455,000,000 \ m^3} [/tex]
Afterwards,
- [tex] \rm{\rho = \frac{m}{V} = \frac{500,000}{455,000,000} = 0.00109} [/tex]
Converting to kg/m³ by multiplying it to 1000.
- 0.00109 × 1000 = 1.09 kg/m³
[tex] \therefore [/tex] The density of passenger vesel is 1.09 kg/m³
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