Gold has a density of 19.3 g/cm3. Do you think you could carry 1.30 cubic ft (rhetorical--don't answer)? How many pounds does 1.30 cubic feet of gold weigh? [453.6 g = 1 lb, 2.54 cm = 1 in, and 1 ft = 12 in.]
19.3 g/cc = 1204.8 pounds/cubic foot.
mass = volume x density
mass = 1.3 ft^3 x 1204.8 lbs/ft^3 = ? too many pounds for you to lift (without equipment).
To find the weight of 1.30 cubic feet of gold, we need to convert the volume from cubic feet to cubic centimeters and then calculate the weight using the density of gold.
1 cubic foot = (12 in) * (12 in) * (12 in) = 1728 cubic inches
1 cubic inch = (2.54 cm) * (2.54 cm) * (2.54 cm) = 16.387 cubic centimeters
Therefore, 1 cubic foot = 1728 * 16.387 cubic centimeters
Now we can calculate the weight using the given density of gold:
Weight = (Volume) * (Density)
Weight = (1.30 cubic feet) * (1728 * 16.387 cubic centimeters) * (19.3 g/cm^3)
To convert the weight from grams to pounds, we can use the conversion factor 1 lb = 453.6 g:
Weight (in pounds) = [(1.30 cubic feet) * (1728 * 16.387 cubic centimeters) * (19.3 g/cm^3)] / 453.6 g
Now we can plug in the values and calculate the weight:
Weight (in pounds) = [(1.30) * (1728 * 16.387) * 19.3] / 453.6
Weight (in pounds) = 472.06 pounds
Therefore, 1.30 cubic feet of gold weighs approximately 472.06 pounds.
To calculate the weight of 1.30 cubic feet of gold in pounds, we need to use the given density of gold, which is 19.3 g/cm3, and the conversion factors provided.
First, we need to convert the volume from cubic feet to cubic centimeters. Since 1 cubic foot is equal to 12 inches x 12 inches x 12 inches (1 ft = 12 in), we can calculate the volume in cubic inches and then convert it to cubic centimeters using the conversion factor 2.54 cm = 1 in.
1.30 cubic feet = (12 in x 12 in x 12 in) x 1.30 = 20736 cubic inches
20736 cubic inches = 20736 cubic inches x (2.54 cm / 1 in)^3 ≈ 339370.59 cm3
Next, we can calculate the mass of the gold using the formula:
mass = density x volume
mass = 19.3 g/cm3 x 339370.59 cm3 ≈ 6,559,858.97 grams
Finally, we can convert the mass from grams to pounds using the given conversion factor 453.6 g = 1 lb:
weight = 6,559,858.97 g / 453.6 g/lb ≈ 14,455.55 pounds
Therefore, 1.30 cubic feet of gold weighs approximately 14,455.55 pounds.