196k views
1 vote
3. The density of salt is 80 pounds per cubic foot (lb/ft³). What is the approximate density of salt in kilograms per cubic meter (kg/m³)? *2 points

1 Answer

5 votes

We know that

• 1lb = 0.4536 kg.

,

• 1ft^3 = 0.0283 m^3.

Now, we can write an expression that helps to make the unit's transformation.


x=(80lb)/(ft^3)\cdot\frac{0.4536\operatorname{kg}}{1lb}\cdot(1ft^3)/(0.0283m^3)

Observe that the same magnitudes we write them down in opposite positions, that way, they will be simplified. Let's solve


\begin{gathered} x=(36.288)/(0.0283)kg/m^3 \\ x\approx1,282.26kg/m^3 \end{gathered}

Therefore, the approximate density of the salt in kilograms per cubic meter is 1,282.26.

User Ryan Gibbs
by
4.3k points