A thin lead apron is used in dental offices to protect patients from harmful X rays. If the sheet measures 75.0 cm by 55.0 cm by 0.10 cm, and the density of lead is 11.3 g/ cm, what is the mass of the apron in grams?
Volume of apron, V = 75*55*0.1 cm³
Density of lead, ρ = 11.3 g/cm³
Mass of apron = V/ρ g
36.55
36.50
To find the mass of the apron, we can use the formula:
Mass = Density x Volume
First, let's calculate the volume of the apron. The volume of a rectangular prism can be found by multiplying its length, width, and height. In this case, the length is 75.0 cm, the width is 55.0 cm, and the height (thickness) is 0.10 cm.
Volume = Length x Width x Height
Volume = 75.0 cm x 55.0 cm x 0.10 cm
Now let's calculate the mass using the density and the volume.
Mass = Density x Volume
Mass = 11.3 g/cm^3 x (75.0 cm x 55.0 cm x 0.10 cm)
Simplifying the equation:
Mass = 11.3 g/cm^3 x 412.5 cm^3
Now, multiply the density by the volume to determine the mass:
Mass = 4653.75 g
Therefore, the mass of the apron is 4653.75 grams.