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3 years ago

Gold has a density of 0.70 pounds per cubic inch and copper has a density of 8.96 grams per cubic centimeter. How much will

Mathematics

1 answer:

katrin [286]3 years ago

8 0

Answer:

O The gold will weigh 1209.6 pounds and the copper will weigh 559 pounds.

Step-by-step explanation:

From the question, we have the following information:

Gold has a density of 0.70 pounds per cubic inch and copper has a density of 8.96 grams per cubic centimeter.

Density = Mass/Volume

Volume of each metal = 1 ft³

We are to find the Mass of each component in pounds

a)Gold has a density of 0.70 pounds per cubic inch(lb/in³)

We convert the Volume from ft³ to in³

Volume = 1 ft³

1 cubic foot = 1728 cubic inches

Hence, the volume of Gold = 1728 in³

Mass = Density × volume

Mass of Gold = 0.70Ib/in³ × 1728 in³

= 1209.6 lb(pounds)

2)copper has a density of 8.96 grams per cubic centimeter

We convert this density in g/cm³ to ib/in³

1 ft3 = 28,316.8 cm", and 1 lb = 453.5 g.

1 gram / cubic centimetre = 0.0361 pound / cubic inch

8.96 grams / cubic centimetre =

0.0361273 pound / cubic inch × 8.96 grams / cubic centimetre

Density of copper = 0.3237005 pound / cubic inch.

Volume of copper = 1ft³ = 1728in³

Mass = Density × Volume

Mass of copper = 0.3237005 pound / cubic inch × 1728 cubic inch

= 559.354464 pounds

≈ 559 pounds

Therefore ,option O The gold will weigh 1209.6 pounds and the copper will weigh 559 pounds is the correct option

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