How do you convert kg/m^3 to slug/ft^3? and kg/m^3 to lb/inch^3?

Question

I was given this worksheet in class and my professor refuses to explain it to us. I need help!! 

 

For the given sample: Wooden cube (rectangular).

Measure its mass in grams = 171 grams.

Find its volume in cm³. Measure length, width, and height in cm.

Volume = length x width x height

= (7.5 cm) x (3.8 cm) x (7.5 cm) = 213.75 cm³

 

Density = mass/volume = 171 grams/213.75 cm³ = 0.8 grams/cm³

Remember: cm = c.c. = ml

 

AGAIN

Find its mass in kg = 0.171 kg.iko

Find its volume in m³. Measure length, width, and height in meters. 

Volume = length x width x height

= (.75 m) x (.038 m) x (.075 m) = 2.13 x 10^-4 m³

 

Density = mass/volume = 0.171 kg/0.000213 m³ = 800 kg/m³

 

Now find the density of the given irregular shape object. You need to use water displacement method to find its volume. Use a graduated cylinder. Find its mass as before. 

 

Volume = 10 ml = 10 cm³

Mass = 60.5 grams 

 

Density = mass/volume = 60.5 grams/10 cm³ = 6.05 grams/cm³

 

or, 

 

Density = mass/volume = 6.05 kg/.000001 m³ = .00000605 kg/m³

 

Now: Express the density in for both the wooden cube and irregular object in

 

Slug/ft³ 

 

?

 

 

lb/inch³

 

 

?

Answer 1

You have to use the following conversions:

 

1 kg = 2.2 lbs

1 meter = 39.37 inches