Please help me!!! Due tonight 11:59. Chemistry: Mass, Vol., Density

Question

A sheet of aluminum (density = 2.60 g/cm³) has dimensions of 4.75 mm x 1.80 m x 2.48 ft. Calculate its mass in pounds. Your calculation should show all necessary unit conversions.

Answer 1

Density = mass / volume

We know the density = 2.60 g / cm³.

So, we need to first find the volume, so that we an finally calculate the mass.

In order to find the volume of the sheet of aluminum, we'll need to get all the measurements in the same units, e.g. all in cm.

4.75 mm x 1 cm / 10 mm = 0.475

1.80 m x 100 cm / m = 180 cm

2.48 ft x 12 inches / ft x 2.54 cm / inch = 75.59 cm

Volume = 0.475 cm x 180 cm x 75.59 cm = 6463 cm³

Density = mass / volume

mass (in g) = density x volume = 2.60 gm / cm3 x 6463 cm3

mass = 16,800 g (3 sig. figs.)

Converting this to pounds we have ...

16,800 g x 1 lb / 454 g = 37.0 lbs (3 sig. figs.)