A cubic meter of water weighs 1000kg. What is the weight of a waterbed mattress that is 1,5 meters by 2 meters by 30 centimetre if the casing of the mattress weighs 1 kg?

1 answer

To find the weight of the waterbed mattress, we first need to calculate the volume of water it can hold.

The volume of a rectangular prism is given by the formula V = length x width x height.

Converting the height from centimeters to meters, we have: 30 cm = 0.3 m.

So the volume of the mattress is V = 1.5 m x 2 m x 0.3 m = 0.9 cubic meters.

Since 1 cubic meter of water weighs 1000 kg, the weight of the water in the mattress is 0.9 m^3 x 1000 kg/m^3 = 900 kg.

Adding the weight of the casing, the total weight of the waterbed mattress is 900 kg + 1 kg = 901 kg.