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

Respuesta :

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.

[tex]x=\frac{80lb}{ft^3}\cdot\frac{0.4536\operatorname{kg}}{1lb}\cdot\frac{1ft^3}{0.0283m^3}[/tex]

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

[tex]\begin{gathered} x=\frac{36.288}{0.0283}kg/m^3 \\ x\approx1,282.26kg/m^3 \end{gathered}[/tex]

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