J.R. S. answered • 02/14/20

Ph.D. University Professor with 10+ years Tutoring Experience

Find the volume of the sequins:

4560 sequins x 0.0241 cm^{3}/sequin = 109.896 cm^{3}

Convert the density given in g/in^{3} to g/cm^{3}

Since 1 inch = 2.54 cm, we have 2.54 cm x 2.54 cm x 2.54 cm = 16.387 cm^{3} = 1in^{3}

Density = 681.7 g/in^{3} x 1in^{3}/16.387cm^{3} = 41.60 g/cm^{3}

Find the mass in g using the volume and the density:

109.896 cm^{3} x 41.60 g/cm^{3} = 4572 g

Convert grams to lbs using the conversion factor of 454 g = 1 lb

4572 g x 1 lb/454 g = 10.0 lbs (to 3 significant figures)