A kitchen was remodeled and granite counter tops were installed. A rectangular island in the kitchen now has a granite top measuring 5 ft. by 8 ft. by 1.2 inches. The density of granite is 2.7 g/cm. How much does the granite top on the island weigh, in pounds? (Round to nearest tenth of a pound.)

Question

Mathematics

Alexus Nguyen

12 June, 01:09

A kitchen was remodeled and granite counter tops were installed. A rectangular island in the kitchen now has a granite top measuring 5 ft. by 8 ft. by 1.2 inches. The density of granite is 2.7 g/cm. How much does the granite top on the island weigh, in pounds? (Round to nearest tenth of a pound.)

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Answers (1)

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Stephanie Norman · Answer 1

674.2 lb

Step-by-step explanation:

First we transform all the units into cm

5 ft = 152,4 cm

8 ft = 243.84 cm

1.2 in = 3.048 cm

The volume of the granite rectangular top can be found by multiplying its three sizes

Volume = (152,4 cm) * 243.84 cm * 3.048 cm

Volume = 113267.3864 cm^3

We know that

Density = mass / volume

Mass = Density * Volume

Mass = 2.7 g/cm^3 * (113267.3864 cm^3)

Mass = 305821.9432 g = 305.822 Kg

We transform grams to pounds

305821.9432 g = 674.22197 lb

= 674.2 lb