Question

A crate of medic with a density of 144 pound per cubic foot will be shipped from the U.S. to Israel. What is the crate’s density in kilograms per cubic meter? Fill in the first two on the left side of equation using two of the ratio. Then round the answer to the nearest hundredth on right side. Will send pic of problem

Answer 1

Since the original density is in pounds per cubic foot, we have to convert pound to kg, and then cubic foot to a cubic meter in order to determine the crate's density in kilograms per cubic meter.

First, convert pound to kg. Based on the given ratio, 1 kg = 2.2 lb.

`(144lb)/(1ft^3)*(1kg)/(2.2lb)=(65.45kg)/(1ft^3)`

Then, convert cubic foot to a cubic meter using the ratio of 35.3 ft³ per cubic meter.

`(65.45kg)/(ft^3)*(35.3ft^3)/(m^3)=2,310.55(kg)/(m^3)`

Please take note that when converting measurements, the measure that we want to convert should be in the opposite place. For example, we want to convert pound to kg. If "pound" is in the numerator originally, we multiply it with its equivalent where "pound" is in the denominator.

So, completing the equation, we have:

`(144lb)/(ft^3)*(1kg)/(2.2lb)*(35.3ft^3)/(1m^3)=2,310.55(kg)/(m^3)`