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Multiple Choice
Pb has a density of 11.3 g/cm³. What is the mass of a cube of lead with a length of one side equal to 50.0 mm?
A
565.0 g
B
2260.0 g
C
1130.0 g
D
1412.5 g
Verified step by step guidance
1
Convert the length of the cube from millimeters to centimeters. Since 1 cm = 10 mm, divide the length in millimeters by 10 to get the length in centimeters.
Calculate the volume of the cube using the formula for the volume of a cube: \( V = \text{side}^3 \). Substitute the side length in centimeters into this formula.
Use the density formula to find the mass of the cube. The formula is \( \text{mass} = \text{density} \times \text{volume} \). Substitute the given density of lead and the calculated volume into this formula.
Ensure that the units are consistent throughout the calculation. The density is given in g/cm³, so the volume should be in cm³ to match.
Perform the multiplication to find the mass of the cube in grams. This will give you the mass of the lead cube.