polycarbonate has a density of 1.2 g/cm3. a photo frame is constructed from two 3.00mm of polycarbonate.Each sheet measures 28 cm by 22cm. what is the mass of the photo frame?
mass=density*length*width*thickness
To find the mass of the photo frame, we need to calculate the volume of the polycarbonate sheets first and then multiply it by the density.
The thickness of each polycarbonate sheet is given as 3.00 mm, which is 0.3 cm (since 1 cm = 10 mm). The dimensions of each sheet are 28 cm by 22 cm.
The volume of each sheet can be calculated by multiplying the length, width, and thickness:
Volume of one sheet = Length × Width × Thickness
= 28 cm × 22 cm × 0.3 cm
Now, we have two sheets, so we need to double this calculated volume:
Total volume of polycarbonate = 2 × (28 cm × 22 cm × 0.3 cm)
Next, we can calculate the mass by multiplying the density by the volume:
Mass = Density × Volume
= 1.2 g/cm^3 × [2 × (28 cm × 22 cm × 0.3 cm)]
Now, we can evaluate this expression:
Mass = 1.2 g/cm^3 × [2 × (28 cm × 22 cm × 0.3 cm)]
= 1.2 g/cm^3 × (2 × 184.8 cm^3)
Simplifying further:
Mass = 1.2 g/cm^3 × 369.6 cm^3
= 443.52 g
Therefore, the mass of the photo frame is 443.52 grams.