A rectangular sheet of lead shielding is placed over the chest of a patient in a dental office while X rays are taken. The sheet measures 65.0 cm by 55.0 cm by 0.30 cm. If the density of lead is 11.3 g/cm3, what is the mass of lead apron?
7246.125
mass = volume x density
mass = ?
volume = length x width x thickness = ?
density given.
12119.25 g
To calculate the mass of the lead apron, we need to use the formula:
Mass = Density x Volume
We are given the dimensions of the lead apron as 65.0 cm x 55.0 cm x 0.30 cm. To find the volume, we need to multiply these dimensions:
Volume = 65.0 cm x 55.0 cm x 0.30 cm
To convert the volume to cubic centimeters (cm³), we multiply by the conversion factor 1 cm = 1 cm³:
Volume = 65.0 cm x 55.0 cm x 0.30 cm x 1 cm³
Next, we need to calculate the volume in cubic centimeters:
Volume = 65.0 cm x 55.0 cm x 0.30 cm = 1072.5 cm³
Now that we have the volume, we can use the given density of lead, which is 11.3 g/cm³, to calculate the mass:
Mass = Density x Volume = 11.3 g/cm³ x 1072.5 cm³
Calculating this, we get:
Mass = 12119.25 g
Therefore, the mass of the lead apron is 12119.25 grams.