Water weighs 1,000kg per meter3. If a box that is 3 meter3 weighs 2,000 kg, and it is holding 800kg of cargo, will it float?

To determine if the box will float, we need to calculate its total weight and compare it to the weight of the water it displaces.

1. Calculate the total weight of the box and its cargo: The box weighs 2,000 kg and the cargo weighs 800 kg, so the total weight is 2,000 kg + 800 kg = 2,800 kg.

2. Calculate the weight of the water displaced by the box: The box has a volume of 3 m^3 and water weighs 1,000 kg per m^3, so the box displaces 3 m^3 * 1,000 kg/m^3 = 3,000 kg of water.

3. Compare the total weight of the box and its cargo to the weight of the water it displaces: The box and its cargo weigh less than the water they displace (2,800 kg < 3,000 kg), so the box will float.