A rectangular box of negligible mass measures 5.0 m long,1.0 m wide,and 0.50 m high.How many kilograms of mass can be loaded onto the box before it sinks in a lake having water of density 1000 kg/m³? A)0.50 × 10³ kg B)1.5 × 10³ kg C)2.5 × 10³ kg D)3.5 × 10³ kg

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Quizplus · Accepted Answer

The mass that can be loaded onto the box before it sinks is equal to the volume of the box multiplied by the density of water, since the box will displace a volume of water equal to its own volume when it is fully submerged. The volume of the box is 5.0 m * 1.0 m * 0.50 m = 2.5 m³. Therefore, the mass is 2.5 m³ * 1000 kg/m³ = 2500 kg, or 2.5 × 10^3 kg.

A Rectangular Box of Negligible Mass Measures 5