Problem: A 40-lb container of peat moss measures 14 x 20 x 30 in. A 40-lb container of topsoil has a volume of 1.9 gal{ m gal}.Calculate the average density of peat moss in units of g/cm3.

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FREE Expert Solution

Density is defined as the mass of a substance contained per unit volume. In simpler words, density is a characteristic property of matter that defines how heavy or light it is. Heavier substances have greater densities than lighter substances.


The formula for density is:


<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi>e</mi><mi>n</mi><mi>s</mi><mi>i</mi><mi>t</mi><mi>y</mi><mo>&#xA0;</mo><mo>=</mo><mfrac><mrow><mo>&#xA0;</mo><mi>m</mi><mi>a</mi><mi>s</mi><mi>s</mi></mrow><mrow><mi>v</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>m</mi><mi>e</mi></mrow></mfrac></math>


Note that we need our density value in the units of g/cm3. So, we will be following these steps:

  • We will convert our mass (40 lb) to gram units.
  • We will convert the container dimensions (14 x 20 x 30 in) to cm units.
  • We will find the volume of the container from its dimensions.
  • We will use the mass and volume to calculate density.


So, let’s begin.


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Problem Details

A 40-lb container of peat moss measures 14 x 20 x 30 in. A 40-lb container of topsoil has a volume of 1.9 gal.

Calculate the average density of peat moss in units of g/cm3.