To determine the density of an object, you use the formula:
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
Given:
- Mass ([tex]\( m \)[/tex]) = 26.8 grams
- Volume ([tex]\( V \)[/tex]) = 108 cubic feet
Plug these values into the formula:
[tex]\[ \text{Density} = \frac{26.8 \text{ grams}}{108 \text{ cubic feet}} \][/tex]
This calculation yields a result of roughly [tex]\( 0.2481 \text{ grams per cubic foot} \)[/tex].
Therefore, the density of the object is [tex]\( 0.2481 \text{ grams per cubic foot} \)[/tex].
Among the given options, the correct answer is:
[tex]\[ 0.2481 \, \text{g/ft}^3 \][/tex]