Question

A piece of metal has a volume of 0.250 hogsheads and a mass of 54.424 kg. calculate the density of the metal in pennyweights per peck. 1 pennyweight (

Answer 1

Density is a value for mass, such as kg, divided by a value for volume, such as m3. Density is a physical property of a substance that represents the mass of that substance per unit volume. We calculate the density using the equation

Density = mass / volume

The units asked for the density would be pennyweights per peck.  The conversion factors are as follows:

1 pennyweight (pw) = 1.55 grams 
1 hogshead (hh) = 238.5 liters 
1 peck = 9.091 liters

We calculate as follows:

mass = 54.424 kg ( 1000 g / 1kg ) ( 1 pennyweight / 1.55 g ) = 35112.26 pennyweight
volume = 0.250 hogsheads ( 238.5 L / 1 hogshead ) ( 1 peck / 9.091 L ) = 6.56 peck

Density = 35112.26 pennyweight / 6.56 peck = 5353.55 pw / peck