Question

messageA kitchen was remodeled and granite counter tops were installed. A rectangular island in the kitchen now has a granite top measuring 8 ft. by 6.2 ft. by 5.3 inches. The density of granite is 2.7 kg/cm3.How much does the counter top weigh in pounds?1 kg = 2.2 pounds

Answer 1

Length = 8 feet in cm = 243.84 cm

( I foot = 30 . 48 cm

8 feet = 243 . 84 cm )

Width = 6. 2 feet in cm = 30.48 x 6. 2 = 188 . 976 cm

Height = 5. 3 inches to cm = 5. 3 x 2.54 = 13 . 462 cm

( 1 inch = 2. 54 cm)

The volume of the rectangular island = Length x Width X Height

= 243 . 84 x 188. 976 x 13 . 462

= 620, 327. 7193 cm ^3

Mass = Density X Volume = 2.7 kg/cm3 x 620, 327. 7193 cm ^3

= 1, 674, 884 . 842 kg

How much does the counter top weigh in pounds?

1 kg = 2.2 pounds​

1, 674, 884 . 842 kg = ( 1, 674, 884 . 842 x 2.2 )

= 3, 684 , 746 . 653 pounds