Question

What is the mass, in pounds (lb), of a gold brick with dimensions of 10.0in x 4.00in x 3.00in? The density of gold is 19.3 g/cmˆ3.

a) 7.92 lb
b) 27.4 lb
c) 48.7 lb
d) 83.7 lb

Answer 1

The mass of a gold brick with dimensions of 10.0in x 4.00in x 3.00in is 83.7 pounds. This is calculated by finding the volume in cubic inches, converting it to cubic centimeters, using the density of gold to find the mass in grams, and then converting grams to pounds.

Step-by-step explanation:

To find the mass in pounds of a gold brick with dimensions of 10.0in x 4.00in x 3.00in, we first calculate the volume in cubic inches and then convert it to cubic centimeters (cm3). Using the density of gold, 19.3 g/cm3, we can then find the mass in grams and finally convert it to pounds.

First, we calculate the volume of the brick:

• Volume (in3) = length × width × height
• Volume (in3) = 10.0 × 4.00 × 3.00
• Volume (in3) = 120 in3

Next, we convert cubic inches to cubic centimeters:

• 1 in3 = 16.387064 cm3
• Volume (cm3) = 120 in3 × 16.387064 cm3/in3
• Volume (cm3) = 1966.448 cm3

Now, we find the mass in grams using the density of gold:

• Mass (g) = Volume (cm3) × Density (g/cm3)
• Mass (g) = 1966.448 cm3 × 19.3 g/cm3
• Mass (g) = 37952.445 g

Finally, we convert grams to pounds:

• 1 lb = 453.59237 g
• Mass (lb) = 37952.445 g / 453.59237 g/lb
• Mass (lb) = 83.7 lb