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