Question

A kitchen was remodeled and granite counter tops were installed A rectangular island in the kitchen now has a granite top measuring 8 ft by 5.3 inches. The density of granite is 2.7 kg/cm3.

don't forget to change to inches to feet and feet to centimeters.

how much does the counter top weigh in pounds? 1 kg= 2.2 pounds .​

Answer 1

Problem: if I correctly recall from my days of carving tombstones, the density of granite is not 2.7 kg/cm³, but 2.7 g/cm³

At 2.7 kg/cm³, the weight is 3,664,392 pounds

at 2.7 g/cm³, the true weight is 3664.39 pounds

Explanation:

8 ft = 243.84 cm

5.3 inches = 13.46 cm

6 ft 2 in = 187.96 cm

volume = 243.84 cm x 13.46 cm x 187.96 cm = 616,901.01 cm³

616,901.01 cm³ × 2.7 kg/cm³ x 2.2 lb/kg = 3,664,392 pounds

2.7 g/cm³ = 0.0027 kg/cm³

616,901.01 cm³ × 0.0027 kg/cm³ x 2.2 lb/kg = 3664.39 pounds