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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 1 cubic fo
Question
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 1
cubic foot of each metal weigh? 1 ft(3) = 1728 in(3), 1 ft(3) = 28,316.8 cm cubed, and 1 lb = 453.5 g.
“use the equation p=m/v
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2021-08-23T08:41:18+00:00
2021-08-23T08:41:18+00:00 1 Answers
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Answer:
1 cubic foot of gold will weigh 1209.6 pounds
1 cubic foot of copper will weigh 559 pounds.
Step-by-step explanation:
Density = Mass/Volume
Mass = Density × Volume
Volume of each metal = 1 ft³
a) Gold
Density of Gold = 0.70 pounds per cubic inch(lb/in³)
We will be converting the Volume of gold from cubic foot to cubic inches
The Volume of gold given in the question = 1 cubic foot = 1 ft³
1 cubic foot = 1728 cubic inches
Hence, the volume of Gold = 1728 in³
Mass of Gold = Density of Gold × Volume of Gold
Mass of Gold = 0.70Ib/in³ × 1728 in³
= 1209.6 lb(pounds)
2) Copper
Density of copper = 8.96 grams per cubic centimeter
Ib = pounds
We convert this density in g/cm³ to ib/in³
453.5g = 1 Ib
8.96g = y Ib
Cross Multiply
= 453.5g × y Ib =8.96g × 1 Ib
= y Ib = 8.96g × 1 Ib/453.5g
y Ib = 0.0197574421 Ib
Density of Copper = 0.0197574421 Ib/cm³
28,316.8 cm³ = 1 ft³
1 cm³ = x ft³
x ft³ = 1 cm³ × 1 ft³/28,316.8cm³
x ft³ = 0.0000353147 ft³
1 cm³ = 0.0000353147 ft³
We have to convert the density of Copper from Ib/cm³ to Ib/ft³
0.0197574421 Ib/cm³ = 0.0197574421 Ib/0.0000353147 ft³
559.46793026 Ib/ft³
Volume of copper = 1ft³
Mass = Density × Volume
Mass of copper = 559.46793026 Ib/ft³ × 1 ft³
= 559.46793026 Ib or pounds
≈ 559 pounds
Therefore , the weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.