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 ft3 = 1728 in3. 1 ft3 = 28, 316.8 cm, and 1 1b = 453.5 g
Use the equation p = m/V
(1 point)
The gold will weigh 4063.4 pounds and the copper will weigh 12,096 pounds.
The gold will weigh 559 pounds and the copper will weigh 1209.6 pounds.
The gold will weigh 1209.6 pounds and the copper will weigh 559 pounds
The gold will weigh 12,096 pounds and the copper will weigh 4063.4 pounds.
To find the weight of each metal, we need to multiply their densities by the volume.
For gold:
Density = 0.70 pounds per cubic inch
Volume = 1 cubic foot = 1728 cubic inches
Weight = 0.70 pounds/inch^3 * 1728 inches^3 = 1209.6 pounds
For copper:
Density = 8.96 grams per cubic centimeter
Volume = 1 cubic foot = 28316.8 cubic centimeters
Weight = 8.96 grams/cm^3 * 28316.8 cm^3 = 253723.648 grams = 559 pounds (approximately)
Therefore, the gold will weigh 1209.6 pounds and the copper will weigh 559 pounds.
Suppose you are deciding whether to take a train or a car to travel 3,000 miles across a country. The train travels at 95 kilometers an hour, whil
a car will travel 65 miles per hour on average. Which mode of transportation will take less time? Note that 1 mi = 1.6 km. (1 point)
O The train will take less time because it travels at a faster speed. The train will travel at 95
쁜 x 1.6 m
= 152 mIl while the car travels at 65 mI
g5 km
O The car will take less time because it travels at a faster speed. The train will travel at 65 m
- while the car travels at
16 m
- 59.03 m
O The train will take less time because it travels at a faster speed. The train will travel at 65 m while the car travels at 95 km × 1.6 km = 152 m
• The car will take less time because it travels at a faster speed. The train will travel at
95 u
=59.03 프
- while the car travels at 65 #
To determine which mode of transportation will take less time, we can compare the time it takes for both the train and car to travel 3000 miles.
For the train:
Speed = 95 kilometers per hour
Distance = 3000 miles
Time = Distance / Speed = 3000 miles / 95 kilometers/hour = 31.58 hours
For the car:
Speed = 65 miles per hour
Distance = 3000 miles
Time = Distance / Speed = 3000 miles / 65 miles/hour = 46.15 hours
Therefore, the train will take less time as it will take approximately 31.58 hours, while the car will take approximately 46.15 hours.
To calculate the weight of each metal, we can use the equation:
Weight = density × volume
First, let's calculate the weight of 1 cubic foot of gold:
Density of gold = 0.70 pounds per cubic inch
1 cubic foot = 1728 cubic inches
Weight of gold = Density of gold × Volume of gold
Weight of gold = 0.70 pounds per cubic inch × 1728 cubic inches
Weight of gold = 1209.6 pounds
Now, let's calculate the weight of 1 cubic foot of copper:
Density of copper = 8.96 grams per cubic centimeter
1 cubic foot = 28316.8 cubic centimeters
Weight of copper = Density of copper × Volume of copper
Weight of copper = 8.96 grams per cubic centimeter × 28316.8 cubic centimeters
Weight of copper = 253085.568 grams
Next, let's convert the weight of copper from grams to pounds:
1 pound = 453.5 grams
Weight of copper = 253085.568 grams ÷ 453.5 grams per pound
Weight of copper = 557.8 pounds (approximately)
Therefore, the gold will weigh 1209.6 pounds and the copper will weigh 557.8 pounds.
To calculate the weight of each metal, we need to use the equation p = m/V, where p represents density, m represents mass, and V represents volume.
Let's start with gold.
Given: Density of gold = 0.70 pounds per cubic inch
1 ft^3 = 1728 in^3 (conversion factor)
To find the weight of 1 cubic foot of gold, we need to find the mass.
First, we need to convert the density to pounds per cubic foot since we are given the volume in cubic feet.
Density of gold = 0.70 pounds per cubic inch
Volume of gold = 1 cubic foot
To convert the density from pounds per cubic inch to pounds per cubic foot, we can use the conversion factor:
1 ft^3 = 1728 in^3
So, the density of gold in pounds per cubic foot is:
0.70 pounds/in^3 * 1728 in^3/ft^3 = 1209.6 pounds/ft^3
Therefore, 1 cubic foot of gold will weigh 1209.6 pounds.
Now let's move on to copper.
Given: Density of copper = 8.96 grams per cubic centimeter
1 ft^3 = 28316.8 cm^3 (conversion factor)
1 lb = 453.5 g (conversion factor)
To find the weight of 1 cubic foot of copper, we need to find the mass.
First, we need to convert the density to pounds per cubic foot since we are given the volume in cubic feet and the density is given in grams per cubic centimeter.
Density of copper = 8.96 grams per cubic centimeter
Volume of copper = 1 cubic foot
To convert the density from grams per cubic centimeter to pounds per cubic foot, we can use the conversion factors:
1 ft^3 = 28316.8 cm^3
1 lb = 453.5 g
First, let's convert the density from grams per cubic centimeter to pounds per cubic inch:
8.96 g/cm^3 * 1 lb/453.5 g * (1 cm/0.3937 in)^3 = 0.3238 lb/in^3
Next, let's convert the density from pounds per cubic inch to pounds per cubic foot:
0.3238 lb/in^3 * 1728 in^3/ft^3 = 559 pounds/ft^3
Therefore, 1 cubic foot of copper will weigh 559 pounds.
So the correct answer is: The gold will weigh 1209.6 pounds and the copper will weigh 559 pounds.