To determine how many cups are in 2.2 pounds of refractory cement, we need to consider the density of the cement, as it varies between brands and formulations. On average, refractory cement has a density of approximately 2.2 g/cm³ (137 lbs/ft³).
Step-by-Step Conversion:
Weight to Volume:
Use the density of refractory cement to find the volume of 2.2 pounds:
$$
\text{Volume (cubic inches)} = \frac{\text{Weight (lbs)}}{\text{Density (lbs/ft}^3\text{)}} \times 1728
$$
Substituting values:
$$
\text{Volume} = \frac{2.2}{137} \times 1728 \approx 27.75 \, \text{cubic inches}
$$
Note: 1728 is often associated with cubic inches in relation to cubic feet. Specifically, there are 1728 cubic inches in one cubic foot $$\text{(since } 12^3 = 1728\text{)}.$$. This suggests the formula might be converting a measurement involving volume in cubic feet to cubic inches.
Convert to Cups:
There are 14.4375 cubic inches in one cup.
$$
\text{Cups} = \frac{\text{Volume (cubic inches)}}{14.4375}
$$
Substituting:
$$
\text{Cups} = \frac{27.75}{14.4375} \approx 1.92 \, \text{cups}
$$
Final Answer:
2.2 pounds of refractory cement equals approximately 1.92 cups.
If you have the exact density of your specific refractory cement, the calculation can be more precise.
