AE A 40-lb container of peat moss measures 14 * 20 * 30 in. A 40-lb container of topsoil has a volume of 1.9 gal. (a) Calculate the average densities of peat moss and topsoil in units of g/cm3. Would it be correct to say that peat moss is lighter” than topsoil? Explain, (b) How many bags of peat moss are needed to cover an area measuring 15.0 ft * 20.0 ft to a depth of 3.0 in.?

Problem 79AE

AE A 40-lb container of peat moss measures 14 * 20 * 30 in. A 40-lb container of topsoil has a volume of 1.9 gal. (a) Calculate the average densities of peat moss and topsoil in units of g/cm3. Would it be correct to say that peat moss is lighter” than topsoil? Explain, (b) How many bags of peat moss are needed to cover an area measuring 15.0 ft * 20.0 ft to a depth of 3.0 in.?

Step by Step Solution

Step 1 of 2

(a)

From the given,

Peat moss measures =

Let’s calculate the volume of peat moss;

Hence, the volume of peat moss is .

Let’s calculate the mass of the container of peat moss:

Hence, the mass of the container of the peat moss is 18143.68g.

Let’s calculate the density of peat moss;

Therefore, the density of peat moss is .

Let’s calculate the volume of topsoil:

Hence, the volume of topsoil is .

Let’s calculate the mass of the container of topsoil:

Mass of the container of topsoil is 18143.68g.

Let’s calculate the density of topsoil;

Therefore the density of topsoil is .

The density of peat moss is and density of topsoil is . It is not correct to say that the peat moss is lighter than the topsoil. Volume must be specified in order to compare masses.

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